TSTP Solution File: SWV594-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV594-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n019.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 19:20:27 EDT 2022

% Result   : Unknown 3.82s 3.92s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV594-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command  : iprover_modulo %s %d
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun 16 04:21:54 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Running in mono-core mode
% 0.45/0.61  % Orienting using strategy Equiv(ClausalAll)
% 0.45/0.61  % Orientation found
% 0.45/0.61  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_28e33e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_09d735.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_02137f | grep -v "SZS"
% 0.48/0.63  
% 0.48/0.63  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.48/0.63  
% 0.48/0.63  % 
% 0.48/0.63  % ------  iProver source info 
% 0.48/0.63  
% 0.48/0.63  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.48/0.63  % git: non_committed_changes: true
% 0.48/0.63  % git: last_make_outside_of_git: true
% 0.48/0.63  
% 0.48/0.63  % 
% 0.48/0.63  % ------ Input Options
% 0.48/0.63  
% 0.48/0.63  % --out_options                         all
% 0.48/0.63  % --tptp_safe_out                       true
% 0.48/0.63  % --problem_path                        ""
% 0.48/0.63  % --include_path                        ""
% 0.48/0.63  % --clausifier                          .//eprover
% 0.48/0.63  % --clausifier_options                  --tstp-format  
% 0.48/0.63  % --stdin                               false
% 0.48/0.63  % --dbg_backtrace                       false
% 0.48/0.63  % --dbg_dump_prop_clauses               false
% 0.48/0.63  % --dbg_dump_prop_clauses_file          -
% 0.48/0.63  % --dbg_out_stat                        false
% 0.48/0.63  
% 0.48/0.63  % ------ General Options
% 0.48/0.63  
% 0.48/0.63  % --fof                                 false
% 0.48/0.63  % --time_out_real                       150.
% 0.48/0.63  % --time_out_prep_mult                  0.2
% 0.48/0.63  % --time_out_virtual                    -1.
% 0.48/0.63  % --schedule                            none
% 0.48/0.63  % --ground_splitting                    input
% 0.48/0.63  % --splitting_nvd                       16
% 0.48/0.63  % --non_eq_to_eq                        false
% 0.48/0.63  % --prep_gs_sim                         true
% 0.48/0.63  % --prep_unflatten                      false
% 0.48/0.63  % --prep_res_sim                        true
% 0.48/0.63  % --prep_upred                          true
% 0.48/0.63  % --res_sim_input                       true
% 0.48/0.63  % --clause_weak_htbl                    true
% 0.48/0.63  % --gc_record_bc_elim                   false
% 0.48/0.63  % --symbol_type_check                   false
% 0.48/0.63  % --clausify_out                        false
% 0.48/0.63  % --large_theory_mode                   false
% 0.48/0.63  % --prep_sem_filter                     none
% 0.48/0.63  % --prep_sem_filter_out                 false
% 0.48/0.63  % --preprocessed_out                    false
% 0.48/0.63  % --sub_typing                          false
% 0.48/0.63  % --brand_transform                     false
% 0.48/0.63  % --pure_diseq_elim                     true
% 0.48/0.63  % --min_unsat_core                      false
% 0.48/0.63  % --pred_elim                           true
% 0.48/0.63  % --add_important_lit                   false
% 0.48/0.63  % --soft_assumptions                    false
% 0.48/0.63  % --reset_solvers                       false
% 0.48/0.63  % --bc_imp_inh                          []
% 0.48/0.63  % --conj_cone_tolerance                 1.5
% 0.48/0.63  % --prolific_symb_bound                 500
% 0.48/0.63  % --lt_threshold                        2000
% 0.48/0.63  
% 0.48/0.63  % ------ SAT Options
% 0.48/0.63  
% 0.48/0.63  % --sat_mode                            false
% 0.48/0.63  % --sat_fm_restart_options              ""
% 0.48/0.63  % --sat_gr_def                          false
% 0.48/0.63  % --sat_epr_types                       true
% 0.48/0.63  % --sat_non_cyclic_types                false
% 0.48/0.63  % --sat_finite_models                   false
% 0.48/0.63  % --sat_fm_lemmas                       false
% 0.48/0.63  % --sat_fm_prep                         false
% 0.48/0.63  % --sat_fm_uc_incr                      true
% 0.48/0.63  % --sat_out_model                       small
% 0.48/0.63  % --sat_out_clauses                     false
% 0.48/0.63  
% 0.48/0.63  % ------ QBF Options
% 0.48/0.63  
% 0.48/0.63  % --qbf_mode                            false
% 0.48/0.63  % --qbf_elim_univ                       true
% 0.48/0.63  % --qbf_sk_in                           true
% 0.48/0.63  % --qbf_pred_elim                       true
% 0.48/0.63  % --qbf_split                           32
% 0.48/0.63  
% 0.48/0.63  % ------ BMC1 Options
% 0.48/0.63  
% 0.48/0.63  % --bmc1_incremental                    false
% 0.48/0.63  % --bmc1_axioms                         reachable_all
% 0.48/0.63  % --bmc1_min_bound                      0
% 0.48/0.63  % --bmc1_max_bound                      -1
% 0.48/0.63  % --bmc1_max_bound_default              -1
% 0.48/0.63  % --bmc1_symbol_reachability            true
% 0.48/0.63  % --bmc1_property_lemmas                false
% 0.48/0.63  % --bmc1_k_induction                    false
% 0.48/0.63  % --bmc1_non_equiv_states               false
% 0.48/0.63  % --bmc1_deadlock                       false
% 0.48/0.63  % --bmc1_ucm                            false
% 0.48/0.63  % --bmc1_add_unsat_core                 none
% 0.48/0.63  % --bmc1_unsat_core_children            false
% 0.48/0.63  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.48/0.63  % --bmc1_out_stat                       full
% 0.48/0.63  % --bmc1_ground_init                    false
% 0.48/0.63  % --bmc1_pre_inst_next_state            false
% 0.48/0.63  % --bmc1_pre_inst_state                 false
% 0.48/0.63  % --bmc1_pre_inst_reach_state           false
% 0.48/0.63  % --bmc1_out_unsat_core                 false
% 0.48/0.63  % --bmc1_aig_witness_out                false
% 0.48/0.63  % --bmc1_verbose                        false
% 0.48/0.63  % --bmc1_dump_clauses_tptp              false
% 2.21/2.54  % --bmc1_dump_unsat_core_tptp           false
% 2.21/2.54  % --bmc1_dump_file                      -
% 2.21/2.54  % --bmc1_ucm_expand_uc_limit            128
% 2.21/2.54  % --bmc1_ucm_n_expand_iterations        6
% 2.21/2.54  % --bmc1_ucm_extend_mode                1
% 2.21/2.54  % --bmc1_ucm_init_mode                  2
% 2.21/2.54  % --bmc1_ucm_cone_mode                  none
% 2.21/2.54  % --bmc1_ucm_reduced_relation_type      0
% 2.21/2.54  % --bmc1_ucm_relax_model                4
% 2.21/2.54  % --bmc1_ucm_full_tr_after_sat          true
% 2.21/2.54  % --bmc1_ucm_expand_neg_assumptions     false
% 2.21/2.54  % --bmc1_ucm_layered_model              none
% 2.21/2.54  % --bmc1_ucm_max_lemma_size             10
% 2.21/2.54  
% 2.21/2.54  % ------ AIG Options
% 2.21/2.54  
% 2.21/2.54  % --aig_mode                            false
% 2.21/2.54  
% 2.21/2.54  % ------ Instantiation Options
% 2.21/2.54  
% 2.21/2.54  % --instantiation_flag                  true
% 2.21/2.54  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 2.21/2.54  % --inst_solver_per_active              750
% 2.21/2.54  % --inst_solver_calls_frac              0.5
% 2.21/2.54  % --inst_passive_queue_type             priority_queues
% 2.21/2.54  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.21/2.54  % --inst_passive_queues_freq            [25;2]
% 2.21/2.54  % --inst_dismatching                    true
% 2.21/2.54  % --inst_eager_unprocessed_to_passive   true
% 2.21/2.54  % --inst_prop_sim_given                 true
% 2.21/2.54  % --inst_prop_sim_new                   false
% 2.21/2.54  % --inst_orphan_elimination             true
% 2.21/2.54  % --inst_learning_loop_flag             true
% 2.21/2.54  % --inst_learning_start                 3000
% 2.21/2.54  % --inst_learning_factor                2
% 2.21/2.54  % --inst_start_prop_sim_after_learn     3
% 2.21/2.54  % --inst_sel_renew                      solver
% 2.21/2.54  % --inst_lit_activity_flag              true
% 2.21/2.54  % --inst_out_proof                      true
% 2.21/2.54  
% 2.21/2.54  % ------ Resolution Options
% 2.21/2.54  
% 2.21/2.54  % --resolution_flag                     true
% 2.21/2.54  % --res_lit_sel                         kbo_max
% 2.21/2.54  % --res_to_prop_solver                  none
% 2.21/2.54  % --res_prop_simpl_new                  false
% 2.21/2.54  % --res_prop_simpl_given                false
% 2.21/2.54  % --res_passive_queue_type              priority_queues
% 2.21/2.54  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.21/2.54  % --res_passive_queues_freq             [15;5]
% 2.21/2.54  % --res_forward_subs                    full
% 2.21/2.54  % --res_backward_subs                   full
% 2.21/2.54  % --res_forward_subs_resolution         true
% 2.21/2.54  % --res_backward_subs_resolution        true
% 2.21/2.54  % --res_orphan_elimination              false
% 2.21/2.54  % --res_time_limit                      1000.
% 2.21/2.54  % --res_out_proof                       true
% 2.21/2.54  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_28e33e.s
% 2.21/2.54  % --modulo                              true
% 2.21/2.54  
% 2.21/2.54  % ------ Combination Options
% 2.21/2.54  
% 2.21/2.54  % --comb_res_mult                       1000
% 2.21/2.54  % --comb_inst_mult                      300
% 2.21/2.54  % ------ 
% 2.21/2.54  
% 2.21/2.54  % ------ Parsing...% successful
% 2.21/2.54  
% 2.21/2.54  % ------ 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 % 
% 2.21/2.54  
% 2.21/2.54  % ------ Proving...
% 2.21/2.54  % ------ Problem Properties 
% 2.21/2.54  
% 2.21/2.54  % 
% 2.21/2.54  % EPR                                   false
% 2.21/2.54  % Horn                                  false
% 2.21/2.54  % Has equality                          true
% 2.21/2.54  
% 2.21/2.54  % % ------ Input Options Time Limit: Unbounded
% 2.21/2.54  
% 2.21/2.54  
% 2.21/2.54  Compiling...
% 2.21/2.54  Loading plugin: done.
% 2.21/2.54  Compiling...
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% 2.21/2.54  Compiling...
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% 2.21/2.54  Compiling...
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% 2.21/2.54  Compiling...
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% 2.21/2.54  Compiling...
% 2.21/2.54  Loading plugin: done.
% 2.21/2.54  Compiling...
% 2.21/2.54  Loading plugin: done.
% 2.21/2.54  Compiling...
% 2.21/2.54  Loading plugin: done.
% 2.21/2.54  Compiling...
% 2.21/2.54  Loading plugin: done.
% 2.21/2.54  Compiling...
% 2.21/2.54  Loading plugin: done.
% 2.21/2.54  Compiling...
% 2.21/2.54  Loading plugin: done.
% 2.21/2.54  Compiling...
% 2.21/2.54  Loading plugin: done.
% 2.21/2.54  % % ------ Current options:
% 2.21/2.54  
% 2.21/2.54  % ------ Input Options
% 2.21/2.54  
% 2.21/2.54  % --out_options                         all
% 2.21/2.54  % --tptp_safe_out                       true
% 2.21/2.54  % --problem_path                        ""
% 2.21/2.54  % --include_path                        ""
% 2.21/2.54  % --clausifier                          .//eprover
% 2.21/2.54  % --clausifier_options                  --tstp-format  
% 2.21/2.54  % --stdin                               false
% 2.21/2.54  % --dbg_backtrace                       false
% 2.21/2.54  % --dbg_dump_prop_clauses               false
% 2.21/2.54  % --dbg_dump_prop_clauses_file          -
% 2.21/2.54  % --dbg_out_stat                        false
% 2.21/2.54  
% 2.21/2.54  % ------ General Options
% 2.21/2.54  
% 2.21/2.54  % --fof                                 false
% 2.21/2.54  % --time_out_real                       150.
% 2.21/2.54  % --time_out_prep_mult                  0.2
% 2.21/2.54  % --time_out_virtual                    -1.
% 2.21/2.54  % --schedule                            none
% 2.21/2.54  % --ground_splitting                    input
% 2.21/2.54  % --splitting_nvd                       16
% 2.21/2.54  % --non_eq_to_eq                        false
% 2.21/2.54  % --prep_gs_sim                         true
% 2.21/2.54  % --prep_unflatten                      false
% 2.21/2.54  % --prep_res_sim                        true
% 2.21/2.54  % --prep_upred                          true
% 2.21/2.54  % --res_sim_input                       true
% 2.21/2.54  % --clause_weak_htbl                    true
% 2.21/2.54  % --gc_record_bc_elim                   false
% 2.21/2.54  % --symbol_type_check                   false
% 2.21/2.54  % --clausify_out                        false
% 2.21/2.54  % --large_theory_mode                   false
% 2.21/2.54  % --prep_sem_filter                     none
% 2.21/2.54  % --prep_sem_filter_out                 false
% 2.21/2.54  % --preprocessed_out                    false
% 2.21/2.54  % --sub_typing                          false
% 2.21/2.54  % --brand_transform                     false
% 2.21/2.54  % --pure_diseq_elim                     true
% 2.21/2.54  % --min_unsat_core                      false
% 2.21/2.54  % --pred_elim                           true
% 2.21/2.54  % --add_important_lit                   false
% 2.21/2.54  % --soft_assumptions                    false
% 2.21/2.54  % --reset_solvers                       false
% 2.21/2.54  % --bc_imp_inh                          []
% 2.21/2.54  % --conj_cone_tolerance                 1.5
% 2.21/2.54  % --prolific_symb_bound                 500
% 2.21/2.54  % --lt_threshold                        2000
% 2.21/2.54  
% 2.21/2.54  % ------ SAT Options
% 2.21/2.54  
% 2.21/2.54  % --sat_mode                            false
% 2.21/2.54  % --sat_fm_restart_options              ""
% 2.21/2.54  % --sat_gr_def                          false
% 2.21/2.54  % --sat_epr_types                       true
% 2.21/2.54  % --sat_non_cyclic_types                false
% 2.21/2.54  % --sat_finite_models                   false
% 2.21/2.54  % --sat_fm_lemmas                       false
% 2.21/2.54  % --sat_fm_prep                         false
% 2.21/2.54  % --sat_fm_uc_incr                      true
% 2.21/2.54  % --sat_out_model                       small
% 2.21/2.54  % --sat_out_clauses                     false
% 2.21/2.54  
% 2.21/2.54  % ------ QBF Options
% 2.21/2.54  
% 2.21/2.54  % --qbf_mode                            false
% 2.21/2.54  % --qbf_elim_univ                       true
% 2.21/2.54  % --qbf_sk_in                           true
% 2.21/2.54  % --qbf_pred_elim                       true
% 2.21/2.54  % --qbf_split                           32
% 2.21/2.54  
% 2.21/2.54  % ------ BMC1 Options
% 2.21/2.54  
% 2.21/2.54  % --bmc1_incremental                    false
% 2.21/2.54  % --bmc1_axioms                         reachable_all
% 2.21/2.54  % --bmc1_min_bound                      0
% 2.21/2.54  % --bmc1_max_bound                      -1
% 2.21/2.54  % --bmc1_max_bound_default              -1
% 2.21/2.54  % --bmc1_symbol_reachability            true
% 2.21/2.54  % --bmc1_property_lemmas                false
% 2.21/2.54  % --bmc1_k_induction                    false
% 2.21/2.54  % --bmc1_non_equiv_states               false
% 2.21/2.54  % --bmc1_deadlock                       false
% 2.21/2.54  % --bmc1_ucm                            false
% 2.21/2.54  % --bmc1_add_unsat_core                 none
% 2.21/2.54  % --bmc1_unsat_core_children            false
% 2.21/2.54  % --bmc1_unsat_core_extrapolate_axioms  false
% 2.21/2.54  % --bmc1_out_stat                       full
% 2.21/2.54  % --bmc1_ground_init                    false
% 2.21/2.54  % --bmc1_pre_inst_next_state            false
% 2.21/2.54  % --bmc1_pre_inst_state                 false
% 2.21/2.54  % --bmc1_pre_inst_reach_state           false
% 2.21/2.54  % --bmc1_out_unsat_core                 false
% 2.21/2.54  % --bmc1_aig_witness_out                false
% 2.21/2.54  % --bmc1_verbose                        false
% 2.21/2.54  % --bmc1_dump_clauses_tptp              false
% 2.21/2.54  % --bmc1_dump_unsat_core_tptp           false
% 2.21/2.54  % --bmc1_dump_file                      -
% 2.21/2.54  % --bmc1_ucm_expand_uc_limit            128
% 2.21/2.54  % --bmc1_ucm_n_expand_iterations        6
% 2.21/2.54  % --bmc1_ucm_extend_mode                1
% 2.21/2.54  % --bmc1_ucm_init_mode                  2
% 2.21/2.54  % --bmc1_ucm_cone_mode                  none
% 2.21/2.54  % --bmc1_ucm_reduced_relation_type      0
% 2.21/2.54  % --bmc1_ucm_relax_model                4
% 2.21/2.54  % --bmc1_ucm_full_tr_after_sat          true
% 2.21/2.54  % --bmc1_ucm_expand_neg_assumptions     false
% 2.21/2.54  % --bmc1_ucm_layered_model              none
% 2.21/2.54  % --bmc1_ucm_max_lemma_size             10
% 2.21/2.54  
% 2.21/2.54  % ------ AIG Options
% 2.21/2.54  
% 2.21/2.54  % --aig_mode                            false
% 2.21/2.54  
% 2.21/2.54  % ------ Instantiation Options
% 2.21/2.54  
% 2.21/2.54  % --instantiation_flag                  true
% 2.21/2.54  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 2.21/2.54  % --inst_solver_per_active              750
% 2.21/2.54  % --inst_solver_calls_frac              0.5
% 2.21/2.54  % --inst_passive_queue_type             priority_queues
% 2.21/2.54  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.21/2.54  % --inst_passive_queues_freq            [25;2]
% 2.21/2.54  % --inst_dismatching                    true
% 2.21/2.54  % --inst_eager_unprocessed_to_passive   true
% 2.21/2.54  % --inst_prop_sim_given                 true
% 2.21/2.54  % --inst_prop_sim_new                   false
% 2.21/2.54  % --inst_orphan_elimination             true
% 2.21/2.54  % --inst_learning_loop_flag             true
% 2.21/2.54  % --inst_learning_start                 3000
% 2.21/2.54  % --inst_learning_factor                2
% 2.21/2.54  % --inst_start_prop_sim_after_learn     3
% 2.21/2.54  % --inst_sel_renew                      solver
% 2.21/2.54  % --inst_lit_activity_flag              true
% 2.21/2.54  % --inst_out_proof                      true
% 2.21/2.54  
% 2.21/2.54  % ------ Resolution Options
% 2.21/2.54  
% 2.21/2.54  % --resolution_flag                     true
% 2.21/2.54  % --res_lit_sel                         kbo_max
% 2.21/2.54  % --res_to_prop_solver                  none
% 2.21/2.54  % --res_prop_simpl_new                  false
% 2.21/2.54  % --res_prop_simpl_given                false
% 2.21/2.54  % --res_passive_queue_type              priority_queues
% 2.21/2.54  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.21/2.54  % --res_passive_queues_freq             [15;5]
% 2.21/2.54  % --res_forward_subs                    full
% 2.21/2.54  % --res_backward_subs                   full
% 2.21/2.54  % --res_forward_subs_resolution         true
% 2.21/2.54  % --res_backward_subs_resolution        true
% 2.21/2.54  % --res_orphan_elimination              false
% 2.21/2.54  % --res_time_limit                      1000.
% 2.21/2.54  % --res_out_proof                       true
% 2.21/2.54  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_28e33e.s
% 2.21/2.54  % --modulo                              true
% 2.21/2.54  
% 2.21/2.54  % ------ Combination Options
% 2.21/2.54  
% 2.21/2.54  % --comb_res_mult                       1000
% 2.21/2.54  % --comb_inst_mult                      300
% 2.21/2.54  % ------ 
% 2.21/2.54  
% 2.21/2.54  
% 2.21/2.54  
% 2.21/2.54  % ------ Proving...
% 2.21/2.54  % warning:  shown sat in sat incomplete mode 
% 2.21/2.54  % 
% 2.21/2.54  
% 2.21/2.54  
% 2.21/2.54  
% 2.21/2.54  
% 2.21/2.54  cnf(c_3176,plain,
% 2.21/2.54      ( ~ class_SEQ_Obanach(X0)
% 2.21/2.54      | ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.54      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5182_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13910,plain,
% 2.21/2.54      ( ~ class_SEQ_Obanach(X0)
% 2.21/2.54      | ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.54      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_3176]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13911,plain,
% 2.21/2.54      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.54      | ~ class_SEQ_Obanach(X0)
% 2.21/2.54      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13910]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_3149,plain,
% 2.21/2.54      ( ~ class_SEQ_Obanach(X0)
% 2.21/2.54      | ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.54      | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5173_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13856,plain,
% 2.21/2.54      ( ~ class_SEQ_Obanach(X0)
% 2.21/2.54      | ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.54      | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_3149]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13857,plain,
% 2.21/2.54      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.54      | ~ class_SEQ_Obanach(X0)
% 2.21/2.54      | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13856]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_3080,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.21/2.54      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.21/2.54      | X1 = X2
% 2.21/2.54      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5146_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13718,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.21/2.54      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.21/2.54      | X1 = X2
% 2.21/2.54      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_3080]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13719,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.21/2.54      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.21/2.54      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | X1 = X2 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13718]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2972,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5094_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13502,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2972]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13503,plain,
% 2.21/2.54      ( ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13502]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2965,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5091_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13488,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2965]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13489,plain,
% 2.21/2.54      ( ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13488]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2939,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oabs__if(X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5081_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13436,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oabs__if(X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2939]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13437,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_Ring__and__Field_Oabs__if(X1)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X0,X1) = X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13436]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2913,plain,
% 2.21/2.54      ( c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.54      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.54      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5070_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13384,plain,
% 2.21/2.54      ( c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.54      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.54      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2913]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13385,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.54      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13384]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2904,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5067_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13366,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2904]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13367,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 2.21/2.54      | ~ class_Orderings_Olinorder(X1)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X0,X1) = X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13366]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2884,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != X1
% 2.21/2.54      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5059_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13326,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != X1
% 2.21/2.54      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2884]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13327,plain,
% 2.21/2.54      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1) != X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13326]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2881,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != X1
% 2.21/2.54      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5058_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13320,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != X1
% 2.21/2.54      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2881]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13321,plain,
% 2.21/2.54      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13320]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2857,plain,
% 2.21/2.54      ( ~ class_SEQ_Obanach(X0)
% 2.21/2.54      | ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.54      | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5048_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13272,plain,
% 2.21/2.54      ( ~ class_SEQ_Obanach(X0)
% 2.21/2.54      | ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.54      | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2857]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13273,plain,
% 2.21/2.54      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.54      | ~ class_SEQ_Obanach(X0)
% 2.21/2.54      | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13272]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2854,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.54      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5047_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13266,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.54      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2854]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13267,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.54      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13266]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2848,plain,
% 2.21/2.54      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5045_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13254,plain,
% 2.21/2.54      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2848]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13255,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 2.21/2.54      | ~ class_RealVector_Oreal__normed__vector(X1)
% 2.21/2.54      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13254]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2845,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5044_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13248,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2845]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13249,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13248]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2842,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5043_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13242,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2842]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13243,plain,
% 2.21/2.54      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1) != c_HOL_Ozero__class_Ozero(X1) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13242]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2839,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5042_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13236,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2839]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13237,plain,
% 2.21/2.54      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13236]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2807,plain,
% 2.21/2.54      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.21/2.54      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.54      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5030_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13172,plain,
% 2.21/2.54      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.21/2.54      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.54      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2807]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13173,plain,
% 2.21/2.54      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.54      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.21/2.54      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13172]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2794,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 2.21/2.54      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5025_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13146,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 2.21/2.54      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2794]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13147,plain,
% 2.21/2.54      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.54      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13146]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2782,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 2.21/2.54      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5021_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13122,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 2.21/2.54      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2782]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13123,plain,
% 2.21/2.54      ( ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 2.21/2.54      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13122]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2775,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5019_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13108,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2775]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13109,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Osgn__if(X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13108]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2769,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.54      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5017_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13096,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.54      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2769]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13097,plain,
% 2.21/2.54      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13096]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2761,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | X1 = X2 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5015_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13080,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | X1 = X2 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2761]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_13081,plain,
% 2.21/2.54      ( ~ class_Int_Onumber__ring(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.54      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | X1 = X2 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_13080]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2690,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = X1 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4987_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12938,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = X1 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2690]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12939,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1) = X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12938]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2684,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = X1 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4985_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12926,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = X1 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2684]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12927,plain,
% 2.21/2.54      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12926]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2681,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.54      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4984_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12920,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.54      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2681]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12921,plain,
% 2.21/2.54      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12920]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2666,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | X1 = X2
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4980_1) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12890,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | X1 = X2
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2666]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12891,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.21/2.54      | ~ class_Orderings_Olinorder(X2)
% 2.21/2.54      | X0 = X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12890]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2665,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | X1 = X2
% 2.21/2.54      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4980_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12888,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | X1 = X2
% 2.21/2.54      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2665]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12889,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.21/2.54      | ~ class_Orderings_Olinorder(X2)
% 2.21/2.54      | X1 = X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12888]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2663,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | X1 = X2
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4979_2) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12884,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | X1 = X2
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2663]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12885,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.21/2.54      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 2.21/2.54      | X0 = X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12884]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2661,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.21/2.54      | X2 = X1 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4979_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12880,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.21/2.54      | X2 = X1 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2661]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12881,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.21/2.54      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 2.21/2.54      | X1 = X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12880]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2658,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4978_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12874,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2658]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12875,plain,
% 2.21/2.54      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12874]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2655,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4977_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12868,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2655]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12869,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1) = c_HOL_Ozero__class_Ozero(X1) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12868]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2652,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4976_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12862,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2652]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12863,plain,
% 2.21/2.54      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12862]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2649,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4975_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12856,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2649]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12857,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12856]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2641,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.21/2.54      | ~ class_Power_Opower(X0)
% 2.21/2.54      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4973_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12840,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.21/2.54      | ~ class_Power_Opower(X0)
% 2.21/2.54      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2641]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12841,plain,
% 2.21/2.54      ( ~ class_Power_Opower(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.21/2.54      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12840]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2637,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 2.21/2.54      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4972_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12832,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 2.21/2.54      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2637]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12833,plain,
% 2.21/2.54      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.54      | ~ class_Ring__and__Field_Osgn__if(X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12832]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2627,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.54      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4968_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12812,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.54      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2627]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12813,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12812]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2624,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oabs__if(X0)
% 2.21/2.54      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4967_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12806,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oabs__if(X0)
% 2.21/2.54      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2624]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12807,plain,
% 2.21/2.54      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_Ring__and__Field_Oabs__if(X1)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12806]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2614,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4963_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12786,plain,
% 2.21/2.54      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.54      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2614]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12787,plain,
% 2.21/2.54      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 2.21/2.54      | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12786]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2610,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 2.21/2.54      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4962_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12778,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 2.21/2.54      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2610]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12779,plain,
% 2.21/2.54      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 2.21/2.54      | ~ class_Orderings_Olinorder(X1)
% 2.21/2.54      | c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12778]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2604,plain,
% 2.21/2.54      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.21/2.54      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4960_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12766,plain,
% 2.21/2.54      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.21/2.54      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2604]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12767,plain,
% 2.21/2.54      ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.54      | ~ class_RealVector_Oreal__normed__vector(X1)
% 2.21/2.54      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12766]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2569,plain,
% 2.21/2.54      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) = X2 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4945_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12696,plain,
% 2.21/2.54      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) = X2 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2569]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12697,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.54      | ~ class_Lattices_Oupper__semilattice(X2)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2) = X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12696]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2566,plain,
% 2.21/2.54      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X2 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4944_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12690,plain,
% 2.21/2.54      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X2 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2566]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12691,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.54      | ~ class_Lattices_Oupper__semilattice(X2)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) = X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12690]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2563,plain,
% 2.21/2.54      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = X1 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4943_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12684,plain,
% 2.21/2.54      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = X1 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2563]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12685,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.54      | ~ class_Lattices_Olower__semilattice(X2)
% 2.21/2.54      | c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12684]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2560,plain,
% 2.21/2.54      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) = X1 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4942_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12678,plain,
% 2.21/2.54      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) = X1 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2560]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12679,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.54      | ~ class_Lattices_Olower__semilattice(X2)
% 2.21/2.54      | c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2) = X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12678]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2557,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.54      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4941_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12672,plain,
% 2.21/2.54      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.54      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.54      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2557]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12673,plain,
% 2.21/2.54      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
% 2.21/2.54      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12672]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2543,plain,
% 2.21/2.54      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) != X2
% 2.21/2.54      | c_lessequals(X1,X2,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4935_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12644,plain,
% 2.21/2.54      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) != X2
% 2.21/2.54      | c_lessequals(X1,X2,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2543]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12645,plain,
% 2.21/2.54      ( c_lessequals(X0,X1,X2)
% 2.21/2.54      | ~ class_Lattices_Oupper__semilattice(X2)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) != X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12644]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2540,plain,
% 2.21/2.54      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.54      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) != X1
% 2.21/2.54      | c_lessequals(X1,X2,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4934_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12638,plain,
% 2.21/2.54      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.54      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) != X1
% 2.21/2.54      | c_lessequals(X1,X2,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2540]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12639,plain,
% 2.21/2.54      ( c_lessequals(X0,X1,X2)
% 2.21/2.54      | ~ class_Lattices_Olower__semilattice(X2)
% 2.21/2.54      | c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) != X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12638]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2530,plain,
% 2.21/2.54      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.54      | X2 = X1 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4931_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12618,plain,
% 2.21/2.54      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.54      | X2 = X1 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2530]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12619,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.54      | ~ class_Orderings_Oorder(X2)
% 2.21/2.54      | X1 = X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12618]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2522,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | X1 = X2
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4929_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12602,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | X1 = X2
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2522]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12603,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.54      | ~ class_Orderings_Olinorder(X2)
% 2.21/2.54      | X0 = X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12602]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2506,plain,
% 2.21/2.54      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.54      | X1 = X2 ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4925_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12570,plain,
% 2.21/2.54      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.54      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.54      | X1 = X2 ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2506]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12571,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.54      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.54      | ~ class_Orderings_Oorder(X2)
% 2.21/2.54      | X0 = X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12570]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2481,plain,
% 2.21/2.54      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.54      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.54      | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4913_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12520,plain,
% 2.21/2.54      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.54      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.54      | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2481]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12521,plain,
% 2.21/2.54      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.54      | ~ class_Divides_Osemiring__div(X2)
% 2.21/2.54      | c_Divides_Odiv__class_Omod(X1,X0,X2) = c_HOL_Ozero__class_Ozero(X2) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12520]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2478,plain,
% 2.21/2.54      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.54      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4912_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12514,plain,
% 2.21/2.54      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.54      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.54      | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2478]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12515,plain,
% 2.21/2.54      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.54      | ~ class_Divides_Osemiring__div(X2)
% 2.21/2.54      | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2) ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12514]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2452,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4900_0) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12462,plain,
% 2.21/2.54      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1
% 2.21/2.54      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2452]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12463,plain,
% 2.21/2.54      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.54      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 2.21/2.54      | ~ class_Orderings_Olinorder(X1)
% 2.21/2.54      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12462]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2409,plain,
% 2.21/2.54      ( X0 = X1
% 2.21/2.54      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.54      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.21/2.54      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4878_2) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12376,plain,
% 2.21/2.54      ( X0 = X1
% 2.21/2.54      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.54      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.21/2.54      inference(copy,[status(esa)],[c_2409]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_12377,plain,
% 2.21/2.54      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.54      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 2.21/2.54      | X0 = X1 ),
% 2.21/2.54      inference(rewriting,[status(thm)],[c_12376]) ).
% 2.21/2.54  
% 2.21/2.54  cnf(c_2388,plain,
% 2.21/2.54      ( ~ class_RealVector_Ometric__space(X0)
% 2.21/2.54      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X0),tc_RealDef_Oreal)
% 2.21/2.55      | X1 = X2 ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4870_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12334,plain,
% 2.21/2.55      ( ~ class_RealVector_Ometric__space(X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X0),tc_RealDef_Oreal)
% 2.21/2.55      | X1 = X2 ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2388]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12335,plain,
% 2.21/2.55      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X1,X2),tc_RealDef_Oreal)
% 2.21/2.55      | ~ class_RealVector_Ometric__space(X2)
% 2.21/2.55      | X0 = X1 ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12334]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2335,plain,
% 2.21/2.55      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X1,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4852_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12228,plain,
% 2.21/2.55      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X1,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2335]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12229,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X0,X1)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 2.21/2.55      | ~ class_Orderings_Olinorder(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12228]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2332,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4851_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12222,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2332]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12223,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12222]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2305,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | X1 = X2
% 2.21/2.55      | ~ c_lessequals(X2,X1,X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4842_2) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12168,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | X1 = X2
% 2.21/2.55      | ~ c_lessequals(X2,X1,X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2305]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12169,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | ~ c_lessequals(X1,X0,X2)
% 2.21/2.55      | ~ class_Orderings_Oorder(X2)
% 2.21/2.55      | X1 = X0 ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12168]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2303,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X2,X1,X0)
% 2.21/2.55      | X1 = X2 ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4842_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12164,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X2,X1,X0)
% 2.21/2.55      | X1 = X2 ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2303]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12165,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | ~ c_lessequals(X1,X0,X2)
% 2.21/2.55      | ~ class_Orderings_Oorder(X2)
% 2.21/2.55      | X0 = X1 ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12164]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2280,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4835_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12118,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2280]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12119,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12118]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2277,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4834_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12112,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2277]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12113,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.21/2.55      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12112]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2274,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4833_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12106,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2274]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12107,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.21/2.55      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12106]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2271,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4832_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12100,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2271]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12101,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.21/2.55      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12100]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2268,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4831_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12094,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2268]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12095,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.21/2.55      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12094]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2254,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.55      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.55      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.21/2.55      | X2 = X3 ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4827_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12066,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.55      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.55      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.21/2.55      | X2 = X3 ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2254]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12067,plain,
% 2.21/2.55      ( ~ class_Int_Onumber__ring(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.55      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.21/2.55      | X2 = X3 ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12066]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2251,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4826_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12060,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2251]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12061,plain,
% 2.21/2.55      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12060]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2248,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4825_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12054,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2248]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12055,plain,
% 2.21/2.55      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12054]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2245,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4824_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12048,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2245]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12049,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,X2,X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12048]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2242,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.21/2.55      | c_lessequals(X1,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4823_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12042,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.21/2.55      | c_lessequals(X1,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2242]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12043,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.21/2.55      | c_lessequals(X0,X2,X1)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12042]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2239,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4822_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12036,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2239]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12037,plain,
% 2.21/2.55      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12036]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2236,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4821_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12030,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2236]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_12031,plain,
% 2.21/2.55      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.55      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_12030]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2218,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4815_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11994,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2218]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11995,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11994]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2209,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4812_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11976,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2209]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11977,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11976]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2148,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4794_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11854,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2148]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11855,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11854]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2138,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.21/2.55      | ~ c_lessequals(X2,X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4790_2) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11834,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.21/2.55      | ~ c_lessequals(X2,X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2138]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11835,plain,
% 2.21/2.55      ( c_lessequals(X0,X1,X2)
% 2.21/2.55      | ~ c_lessequals(X1,X0,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11834]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2136,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | c_lessequals(X2,X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4790_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11830,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | c_lessequals(X2,X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2136]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11831,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | c_lessequals(X1,X0,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11830]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2133,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4789_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11824,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2133]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11825,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11824]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2129,plain,
% 2.21/2.55      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.55      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4788_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11816,plain,
% 2.21/2.55      ( ~ class_Orderings_Olinorder(X0)
% 2.21/2.55      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2129]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11817,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 2.21/2.55      | ~ class_Orderings_Olinorder(X1)
% 2.21/2.55      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(X0,X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11816]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2126,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4787_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11810,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2126]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11811,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11810]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2120,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4785_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11798,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2120]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11799,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11798]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2117,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4784_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11792,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2117]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11793,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11792]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2082,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4768_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11722,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2082]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11723,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11722]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2078,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4767_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11714,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2078]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11715,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__field(X1)
% 2.21/2.55      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11714]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2074,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4766_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11706,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2074]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11707,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11706]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2070,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4765_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11698,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2070]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11699,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11698]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2066,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4764_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11690,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2066]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11691,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11690]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2062,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4763_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11682,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2062]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11683,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11682]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2058,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4762_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11674,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2058]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11675,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11674]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2054,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4761_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11666,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2054]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11667,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11666]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2050,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4760_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11658,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2050]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11659,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11658]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2034,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.21/2.55      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4755_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11626,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.21/2.55      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2034]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11627,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.21/2.55      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11626]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2028,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4753_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11614,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2028]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11615,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11614]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2022,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4751_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11602,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2022]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11603,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11602]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2016,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4749_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11590,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2016]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11591,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11590]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2013,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4748_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11584,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2013]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11585,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.21/2.55      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.21/2.55      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11584]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_2010,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4747_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11578,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_2010]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11579,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.21/2.55      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11578]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1978,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.21/2.55      | c_lessequals(X2,X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4733_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11514,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.21/2.55      | c_lessequals(X2,X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1978]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11515,plain,
% 2.21/2.55      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 2.21/2.55      | c_lessequals(X2,X0,X1)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11514]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1975,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4732_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11508,plain,
% 2.21/2.55      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1975]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11509,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X2,X0,X1)
% 2.21/2.55      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11508]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1940,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_lessequals(X1,X3,X0)
% 2.21/2.55      | ~ c_lessequals(X2,X3,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4716_1) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11438,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_lessequals(X1,X3,X0)
% 2.21/2.55      | ~ c_lessequals(X2,X3,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1940]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11439,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | c_lessequals(X0,X3,X2)
% 2.21/2.55      | ~ c_lessequals(X1,X3,X2)
% 2.21/2.55      | ~ class_Orderings_Oorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11438]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1939,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.55      | c_lessequals(X1,X3,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4716_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11436,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.55      | c_lessequals(X1,X3,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1939]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11437,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | ~ c_lessequals(X1,X3,X2)
% 2.21/2.55      | c_lessequals(X0,X3,X2)
% 2.21/2.55      | ~ class_Orderings_Oorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11436]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1936,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4715_1) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11430,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1936]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11431,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.55      | ~ class_Orderings_Oorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11430]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1935,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4715_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11428,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1935]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11429,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.55      | ~ class_Orderings_Oorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11428]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1933,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X3,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4714_2) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11424,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X3,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1933]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11425,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.21/2.55      | ~ class_Orderings_Oorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11424]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1931,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4714_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11420,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1931]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11421,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.21/2.55      | ~ class_Orderings_Oorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11420]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1928,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_lessequals(X3,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X3,X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4713_1) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11414,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_lessequals(X3,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X3,X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1928]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11415,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | c_lessequals(X3,X1,X2)
% 2.21/2.55      | ~ c_lessequals(X3,X0,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11414]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1927,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X3,X1,X0)
% 2.21/2.55      | c_lessequals(X3,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4713_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11412,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X3,X1,X0)
% 2.21/2.55      | c_lessequals(X3,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1927]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11413,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | ~ c_lessequals(X3,X0,X2)
% 2.21/2.55      | c_lessequals(X3,X1,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11412]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1924,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4712_1) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11406,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1924]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11407,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11406]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1923,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4712_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11404,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1923]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11405,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11404]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1921,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X1,X3,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4711_2) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11400,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X1,X3,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1921]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11401,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11400]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1919,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X3,X1,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4711_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11396,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_lessequals(X3,X1,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1919]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11397,plain,
% 2.21/2.55      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11396]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1916,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4710_1) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11390,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1916]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11391,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11390]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1915,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4710_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11388,plain,
% 2.21/2.55      ( ~ class_Orderings_Opreorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1915]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11389,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.21/2.55      | ~ class_Orderings_Opreorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11388]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1912,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4709_1) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11382,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1912]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11383,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.55      | ~ class_Orderings_Oorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11382]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1911,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4709_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11380,plain,
% 2.21/2.55      ( ~ class_Orderings_Oorder(X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1911]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11381,plain,
% 2.21/2.55      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.55      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.55      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.55      | ~ class_Orderings_Oorder(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11380]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1908,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4708_1) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11374,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 2.21/2.55      inference(copy,[status(esa)],[c_1908]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11375,plain,
% 2.21/2.55      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 2.21/2.55      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.21/2.55      inference(rewriting,[status(thm)],[c_11374]) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_1907,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.21/2.55      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.21/2.55      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4708_0) ).
% 2.21/2.55  
% 2.21/2.55  cnf(c_11372,plain,
% 2.21/2.55      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.55      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.21/2.56      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1907]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11373,plain,
% 2.21/2.56      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 2.21/2.56      | c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 2.21/2.56      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11372]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1891,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | 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) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4703_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11340,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | 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) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1891]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11341,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | 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) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11340]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1888,plain,
% 2.21/2.56      ( ~ class_SEQ_Obanach(X0)
% 2.21/2.56      | ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4702_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11334,plain,
% 2.21/2.56      ( ~ class_SEQ_Obanach(X0)
% 2.21/2.56      | ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1888]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11335,plain,
% 2.21/2.56      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.56      | ~ class_SEQ_Obanach(X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11334]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1885,plain,
% 2.21/2.56      ( ~ class_SEQ_Obanach(X0)
% 2.21/2.56      | ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4701_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11328,plain,
% 2.21/2.56      ( ~ class_SEQ_Obanach(X0)
% 2.21/2.56      | ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1885]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11329,plain,
% 2.21/2.56      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.21/2.56      | ~ class_SEQ_Obanach(X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11328]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1839,plain,
% 2.21/2.56      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4685_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11236,plain,
% 2.21/2.56      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1839]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11237,plain,
% 2.21/2.56      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.56      | ~ class_Divides_Osemiring__div(X2)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X0,X2) = X1 ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11236]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1836,plain,
% 2.21/2.56      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4684_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11230,plain,
% 2.21/2.56      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1836]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11231,plain,
% 2.21/2.56      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.56      | ~ class_Divides_Osemiring__div(X2)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1 ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11230]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1833,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4683_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11224,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1833]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11225,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11224]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1817,plain,
% 2.21/2.56      ( ~ class_RealVector_Ometric__space(X0)
% 2.21/2.56      | ~ c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.56      | X1 = X2 ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4677_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11192,plain,
% 2.21/2.56      ( ~ class_RealVector_Ometric__space(X0)
% 2.21/2.56      | ~ c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.56      | X1 = X2 ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1817]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11193,plain,
% 2.21/2.56      ( ~ c_lessequals(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.56      | ~ class_RealVector_Ometric__space(X2)
% 2.21/2.56      | X0 = X1 ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11192]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1779,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.21/2.56      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4664_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11116,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.21/2.56      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1779]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11117,plain,
% 2.21/2.56      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11116]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1774,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.56      | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.21/2.56      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4663_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11106,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.56      | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.21/2.56      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1774]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11107,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.21/2.56      | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 2.21/2.56      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11106]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1770,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.21/2.56      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.21/2.56      | X2 = X3 ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4662_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11098,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.21/2.56      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.21/2.56      | X2 = X3 ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1770]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11099,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.21/2.56      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 2.21/2.56      | X2 = X3 ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11098]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1764,plain,
% 2.21/2.56      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.56      | c_lessequals(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4660_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11086,plain,
% 2.21/2.56      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.56      | c_lessequals(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1764]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11087,plain,
% 2.21/2.56      ( c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11086]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1747,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4654_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11052,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1747]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11053,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11052]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1726,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4649_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11010,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1726]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11011,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11010]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1721,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4648_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11000,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1721]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_11001,plain,
% 2.21/2.56      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.56      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_11000]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1718,plain,
% 2.21/2.56      ( ~ class_Divides_Oring__div(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | 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) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4647_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10994,plain,
% 2.21/2.56      ( ~ class_Divides_Oring__div(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | 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) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1718]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10995,plain,
% 2.21/2.56      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.56      | ~ class_Divides_Oring__div(X2)
% 2.21/2.56      | 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) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10994]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1715,plain,
% 2.21/2.56      ( ~ class_Divides_Oring__div(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | 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) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4646_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10988,plain,
% 2.21/2.56      ( ~ class_Divides_Oring__div(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | 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) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1715]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10989,plain,
% 2.21/2.56      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.56      | ~ class_Divides_Oring__div(X2)
% 2.21/2.56      | 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) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10988]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1703,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4643_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10964,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1703]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10965,plain,
% 2.21/2.56      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10964]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1699,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4642_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10956,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1699]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10957,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10956]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1696,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4641_2) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10950,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1696]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10951,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10950]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1694,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4641_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10946,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1694]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10947,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10946]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1691,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4640_2) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10940,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1691]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10941,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10940]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1689,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4640_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10936,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1689]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10937,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.56      | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10936]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1684,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4639_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10926,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1684]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10927,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10926]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1681,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4638_2) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10920,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1681]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10921,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.21/2.56      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10920]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1679,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 2.21/2.56      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4638_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10916,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 2.21/2.56      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1679]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10917,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.21/2.56      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.21/2.56      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.56      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10916]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1665,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.21/2.56      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.56      | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4633_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10888,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.21/2.56      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.56      | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1665]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10889,plain,
% 2.21/2.56      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.21/2.56      | ~ c_lessequals(X0,X2,X1)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10888]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1661,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4632_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10880,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1661]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10881,plain,
% 2.21/2.56      ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10880]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1653,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | 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) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4629_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10864,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | 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) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1653]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10865,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.56      | 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) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10864]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1641,plain,
% 2.21/2.56      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4625_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10840,plain,
% 2.21/2.56      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.56      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1641]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10841,plain,
% 2.21/2.56      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.56      | ~ class_Divides_Osemiring__div(X2)
% 2.21/2.56      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X3,X0,X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10840]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1637,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4624_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10832,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1637]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10833,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10832]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1628,plain,
% 2.21/2.56      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.56      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 2.21/2.56      | c_lessequals(X1,X3,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4621_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10814,plain,
% 2.21/2.56      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.56      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 2.21/2.56      | c_lessequals(X1,X3,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1628]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10815,plain,
% 2.21/2.56      ( ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 2.21/2.56      | c_lessequals(X0,X2,X3)
% 2.21/2.56      | ~ class_Lattices_Olower__semilattice(X3) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10814]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1625,plain,
% 2.21/2.56      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.56      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 2.21/2.56      | c_lessequals(X1,X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4620_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10808,plain,
% 2.21/2.56      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.56      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 2.21/2.56      | c_lessequals(X1,X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1625]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10809,plain,
% 2.21/2.56      ( ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 2.21/2.56      | c_lessequals(X0,X1,X3)
% 2.21/2.56      | ~ class_Lattices_Olower__semilattice(X3) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10808]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1622,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.21/2.56      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4619_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10802,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.21/2.56      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1622]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10803,plain,
% 2.21/2.56      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.21/2.56      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.21/2.56      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10802]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1619,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.21/2.56      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4618_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10796,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.56      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.21/2.56      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1619]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10797,plain,
% 2.21/2.56      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.21/2.56      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.21/2.56      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10796]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1610,plain,
% 2.21/2.56      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.56      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 2.21/2.56      | c_lessequals(X1,X3,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4615_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10778,plain,
% 2.21/2.56      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.56      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 2.21/2.56      | c_lessequals(X1,X3,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1610]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10779,plain,
% 2.21/2.56      ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2)
% 2.21/2.56      | c_lessequals(X0,X3,X2)
% 2.21/2.56      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10778]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1607,plain,
% 2.21/2.56      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.56      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 2.21/2.56      | c_lessequals(X2,X3,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4614_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10772,plain,
% 2.21/2.56      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.56      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 2.21/2.56      | c_lessequals(X2,X3,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1607]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10773,plain,
% 2.21/2.56      ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2)
% 2.21/2.56      | c_lessequals(X1,X3,X2)
% 2.21/2.56      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10772]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1603,plain,
% 2.21/2.56      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4613_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10764,plain,
% 2.21/2.56      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1603]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10765,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
% 2.21/2.56      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10764]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1599,plain,
% 2.21/2.56      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.56      | c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4612_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10756,plain,
% 2.21/2.56      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.56      | c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1599]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10757,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.56      | c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
% 2.21/2.56      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10756]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1596,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4611_1) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10750,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1596]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10751,plain,
% 2.21/2.56      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10750]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1595,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4611_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10748,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1595]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10749,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10748]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1592,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4610_1) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10742,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1592]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10743,plain,
% 2.21/2.56      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10742]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1591,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4610_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10740,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1591]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10741,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10740]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1588,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | c_lessequals(X2,X1,X0)
% 2.21/2.56      | ~ c_lessequals(X4,X3,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4609_1) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10734,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | c_lessequals(X2,X1,X0)
% 2.21/2.56      | ~ c_lessequals(X4,X3,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1588]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10735,plain,
% 2.21/2.56      ( c_lessequals(X0,X1,X2)
% 2.21/2.56      | ~ c_lessequals(X3,X4,X2)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10734]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1587,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | ~ c_lessequals(X4,X3,X0)
% 2.21/2.56      | c_lessequals(X2,X1,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4609_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10732,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | ~ c_lessequals(X4,X3,X0)
% 2.21/2.56      | c_lessequals(X2,X1,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1587]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10733,plain,
% 2.21/2.56      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.56      | c_lessequals(X3,X4,X2)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10732]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1584,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | c_lessequals(X4,X3,X0)
% 2.21/2.56      | ~ c_lessequals(X2,X1,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4608_1) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10726,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | c_lessequals(X4,X3,X0)
% 2.21/2.56      | ~ c_lessequals(X2,X1,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1584]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10727,plain,
% 2.21/2.56      ( c_lessequals(X0,X1,X2)
% 2.21/2.56      | ~ c_lessequals(X3,X4,X2)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10726]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1583,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | ~ c_lessequals(X2,X1,X0)
% 2.21/2.56      | c_lessequals(X4,X3,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4608_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10724,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 2.21/2.56      | ~ c_lessequals(X2,X1,X0)
% 2.21/2.56      | c_lessequals(X4,X3,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1583]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10725,plain,
% 2.21/2.56      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.56      | c_lessequals(X3,X4,X2)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 2.21/2.56      | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10724]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1580,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4607_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10718,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1580]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10719,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10718]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1577,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | c_lessequals(X1,X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4606_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10712,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | c_lessequals(X1,X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1577]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10713,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.56      | c_lessequals(X0,X1,X2)
% 2.21/2.56      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10712]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1573,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.56      | c_lessequals(X1,X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4605_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10704,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.56      | c_lessequals(X1,X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1573]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10705,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 2.21/2.56      | c_lessequals(X2,X0,X1)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10704]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1569,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.21/2.56      | c_lessequals(X2,X1,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4604_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10696,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.21/2.56      | c_lessequals(X2,X1,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1569]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10697,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 2.21/2.56      | c_lessequals(X2,X0,X1)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10696]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1565,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4603_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10688,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1565]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10689,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X2,X0,X1)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10688]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1561,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4602_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10680,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1561]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10681,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10680]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1484,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4564_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10526,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1484]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10527,plain,
% 2.21/2.56      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.56      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.56      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10526]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1481,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4563_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10520,plain,
% 2.21/2.56      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.56      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.56      inference(copy,[status(esa)],[c_1481]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10521,plain,
% 2.21/2.56      ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.56      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.56      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.21/2.56      inference(rewriting,[status(thm)],[c_10520]) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_1478,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.21/2.56      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.56      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4562_0) ).
% 2.21/2.56  
% 2.21/2.56  cnf(c_10514,plain,
% 2.21/2.56      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.56      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1478]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10515,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10514]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1475,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4561_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10508,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1475]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10509,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10508]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1472,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4560_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10502,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1472]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10503,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.57      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10502]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1469,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4559_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10496,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1469]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10497,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10496]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1456,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.57      | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4555_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10470,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.57      | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1456]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10471,plain,
% 2.21/2.57      ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 2.21/2.57      | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10470]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1453,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4554_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10464,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1453]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10465,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10464]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1430,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.21/2.57      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4547_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10418,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.21/2.57      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1430]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10419,plain,
% 2.21/2.57      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.21/2.57      | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10418]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1418,plain,
% 2.21/2.57      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.57      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.57      | ~ c_lessequals(X3,X2,X0)
% 2.21/2.57      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X0),X2,X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4544_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10394,plain,
% 2.21/2.57      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.21/2.57      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.57      | ~ c_lessequals(X3,X2,X0)
% 2.21/2.57      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X0),X2,X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1418]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10395,plain,
% 2.21/2.57      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2)
% 2.21/2.57      | ~ c_lessequals(X1,X3,X2)
% 2.21/2.57      | ~ c_lessequals(X0,X3,X2)
% 2.21/2.57      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10394]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1414,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.21/2.57      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4543_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10386,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.21/2.57      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1414]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10387,plain,
% 2.21/2.57      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.21/2.57      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.21/2.57      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10386]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1402,plain,
% 2.21/2.57      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.57      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.57      | ~ c_lessequals(X1,X3,X0)
% 2.21/2.57      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4540_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10362,plain,
% 2.21/2.57      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.21/2.57      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.57      | ~ c_lessequals(X1,X3,X0)
% 2.21/2.57      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1402]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10363,plain,
% 2.21/2.57      ( c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 2.21/2.57      | ~ c_lessequals(X0,X2,X3)
% 2.21/2.57      | ~ c_lessequals(X0,X1,X3)
% 2.21/2.57      | ~ class_Lattices_Olower__semilattice(X3) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10362]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1386,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4535_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10330,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1386]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10331,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10330]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1383,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4534_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10324,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1383]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10325,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.21/2.57      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10324]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1379,plain,
% 2.21/2.57      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4533_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10316,plain,
% 2.21/2.57      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1379]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10317,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10316]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1375,plain,
% 2.21/2.57      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.57      | c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4532_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10308,plain,
% 2.21/2.57      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.57      | c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1375]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10309,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10308]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1368,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4530_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10294,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1368]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10295,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10294]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1363,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4529_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10284,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1363]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10285,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10284]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1358,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4528_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10274,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1358]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10275,plain,
% 2.21/2.57      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10274]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1354,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4527_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10266,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1354]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10267,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10266]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1349,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4526_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10256,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1349]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10257,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10256]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1344,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4525_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10246,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1344]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10247,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X1,X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.57      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10246]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1340,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4524_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10238,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1340]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10239,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10238]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1336,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4523_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10230,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1336]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10231,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10230]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1299,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4511_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10156,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1299]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10157,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10156]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1297,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4510_2) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10152,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1297]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10153,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X0),c_Log_Opowr(X2,X0),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10152]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1295,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4510_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10148,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1295]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10149,plain,
% 2.21/2.57      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10148]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1291,plain,
% 2.21/2.57      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.57      | c_lessequals(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4509_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10140,plain,
% 2.21/2.57      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.57      | c_lessequals(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1291]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10141,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.57      | c_lessequals(c_Log_Opowr(X1,X0),c_Log_Opowr(X2,X0),tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10140]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1287,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4508_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10132,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1287]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10133,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10132]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1279,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4506_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10116,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1279]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10117,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10116]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1275,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4505_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10108,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1275]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10109,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10108]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1271,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4504_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10100,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1271]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10101,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10100]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1267,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4503_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10092,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1267]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10093,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10092]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1263,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4502_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10084,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1263]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10085,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10084]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1259,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4501_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10076,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1259]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10077,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10076]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1255,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4500_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10068,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1255]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10069,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10068]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1231,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4494_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10020,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1231]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_10021,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.57      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_10020]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1215,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4490_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9988,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1215]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9989,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9988]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1211,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4489_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9980,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1211]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9981,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9980]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1207,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4488_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9972,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1207]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9973,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9972]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1203,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4487_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9964,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1203]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9965,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9964]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1199,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4486_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9956,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1199]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9957,plain,
% 2.21/2.57      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9956]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1195,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4485_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9948,plain,
% 2.21/2.57      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1195]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9949,plain,
% 2.21/2.57      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.57      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9948]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1191,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4484_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9940,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1191]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9941,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9940]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1187,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4483_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9932,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1187]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9933,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9932]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1183,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4482_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9924,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1183]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9925,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9924]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1175,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4480_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9908,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1175]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9909,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9908]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1171,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4479_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9900,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1171]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9901,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9900]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1146,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4473_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9850,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1146]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9851,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9850]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1136,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4471_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9830,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1136]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9831,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9830]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1131,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4470_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9820,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1131]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9821,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9820]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1121,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4468_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9800,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1121]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9801,plain,
% 2.21/2.57      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.57      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9800]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1116,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4467_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9790,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1116]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9791,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9790]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1111,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4466_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9780,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1111]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9781,plain,
% 2.21/2.57      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9780]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1101,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4463_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9760,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1101]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9761,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9760]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1097,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4462_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9752,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1097]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9753,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9752]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1093,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4461_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9744,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1093]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9745,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9744]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1089,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4460_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9736,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1089]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9737,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9736]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1085,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4459_0) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9728,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.57      inference(copy,[status(esa)],[c_1085]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9729,plain,
% 2.21/2.57      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.57      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.57      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.57      inference(rewriting,[status(thm)],[c_9728]) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_1082,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.57      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.57      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4458_1) ).
% 2.21/2.57  
% 2.21/2.57  cnf(c_9722,plain,
% 2.21/2.57      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.57      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1082]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9723,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9722]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1081,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4458_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9720,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1081]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9721,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9720]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1078,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4457_1) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9714,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1078]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9715,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9714]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1077,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4457_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9712,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1077]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9713,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9712]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1073,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4456_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9704,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1073]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9705,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9704]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1067,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4455_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9692,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1067]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9693,plain,
% 2.21/2.58      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9692]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1061,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4454_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9680,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1061]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9681,plain,
% 2.21/2.58      ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 2.21/2.58      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9680]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1058,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4453_3) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9674,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1058]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9675,plain,
% 2.21/2.58      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9674]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1055,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4453_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9668,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1055]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9669,plain,
% 2.21/2.58      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9668]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1052,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4452_3) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9662,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1052]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9663,plain,
% 2.21/2.58      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9662]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1049,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4452_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9656,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1049]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9657,plain,
% 2.21/2.58      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9656]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1044,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4451_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9646,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1044]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9647,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9646]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1040,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4450_1) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9638,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1040]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9639,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9638]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1039,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4450_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9636,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1039]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9637,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9636]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1035,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4449_1) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9628,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1035]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9629,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9628]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1034,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4449_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9626,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1034]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9627,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9626]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1029,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4448_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9616,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1029]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9617,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9616]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1024,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4447_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9606,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1024]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9607,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9606]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1019,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4446_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9596,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1019]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9597,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9596]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1014,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4445_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9586,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1014]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9587,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9586]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1009,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4444_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9576,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1009]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9577,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9576]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1004,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4443_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9566,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1004]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9567,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9566]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_1000,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4442_1) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9558,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_1000]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9559,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9558]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_999,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4442_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9556,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_999]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9557,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9556]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_995,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4441_1) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9548,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_995]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9549,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9548]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_994,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4441_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9546,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_994]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9547,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9546]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_989,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4440_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9536,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_989]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9537,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.58      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9536]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_988,plain,
% 2.21/2.58      ( c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4439_2) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9534,plain,
% 2.21/2.58      ( c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_988]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9535,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.21/2.58      | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9534]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_981,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4438_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9520,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_981]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9521,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9520]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_976,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4437_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9510,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_976]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9511,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9510]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_971,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4436_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9500,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_971]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9501,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9500]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_966,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4435_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9490,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_966]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9491,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9490]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_957,plain,
% 2.21/2.58      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.58      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4432_2) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9472,plain,
% 2.21/2.58      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.58      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_957]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9473,plain,
% 2.21/2.58      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 2.21/2.58      | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.21/2.58      | ~ class_Divides_Osemiring__div(X3) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9472]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_955,plain,
% 2.21/2.58      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0)
% 2.21/2.58      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4432_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9468,plain,
% 2.21/2.58      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0)
% 2.21/2.58      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_955]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9469,plain,
% 2.21/2.58      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.21/2.58      | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.21/2.58      | ~ class_Divides_Osemiring__div(X3) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9468]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_952,plain,
% 2.21/2.58      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.58      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4431_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9462,plain,
% 2.21/2.58      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.58      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_952]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9463,plain,
% 2.21/2.58      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.58      | ~ class_Divides_Osemiring__div(X2)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9462]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_950,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | 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)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4430_2) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9458,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | 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)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_950]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9459,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9458]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_948,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4430_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9454,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_948]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9455,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9454]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_944,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4429_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9446,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_944]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9447,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9446]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_940,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4428_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9438,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_940]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9439,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9438]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_938,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | 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)
% 2.21/2.58      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4427_2) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9434,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | 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)
% 2.21/2.58      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_938]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9435,plain,
% 2.21/2.58      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.58      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.58      | ~ class_Ring__and__Field_Opordered__ring__abs(X1)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9434]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_936,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4427_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9430,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.21/2.58      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_936]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9431,plain,
% 2.21/2.58      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.58      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.21/2.58      | ~ class_Ring__and__Field_Opordered__ring__abs(X1)
% 2.21/2.58      | 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) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9430]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_934,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4426_2) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9426,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_934]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9427,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9426]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_932,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4426_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9422,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_932]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9423,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9422]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_930,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4425_2) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9418,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_930]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9419,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9418]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_928,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4425_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9414,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_928]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9415,plain,
% 2.21/2.58      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9414]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_917,plain,
% 2.21/2.58      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.58      | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4421_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9392,plain,
% 2.21/2.58      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.58      | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_917]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9393,plain,
% 2.21/2.58      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9392]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_914,plain,
% 2.21/2.58      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.58      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4420_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9386,plain,
% 2.21/2.58      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.21/2.58      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_914]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9387,plain,
% 2.21/2.58      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9386]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_822,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 2.21/2.58      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4377_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9202,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 2.21/2.58      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_822]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9203,plain,
% 2.21/2.58      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 2.21/2.58      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9202]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_818,plain,
% 2.21/2.58      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.58      | ~ c_lessequals(X3,X4,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4376_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9194,plain,
% 2.21/2.58      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.58      | ~ c_lessequals(X3,X4,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_818]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9195,plain,
% 2.21/2.58      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.21/2.58      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9194]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_814,plain,
% 2.21/2.58      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.21/2.58      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4375_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9186,plain,
% 2.21/2.58      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.21/2.58      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_814]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9187,plain,
% 2.21/2.58      ( ~ c_lessequals(X0,X1,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X4,X1,X2),X2)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 2.21/2.58      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9186]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_810,plain,
% 2.21/2.58      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4374_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9178,plain,
% 2.21/2.58      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_810]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9179,plain,
% 2.21/2.58      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.58      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9178]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_806,plain,
% 2.21/2.58      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.21/2.58      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.58      | ~ c_lessequals(X3,X4,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4373_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9170,plain,
% 2.21/2.58      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.21/2.58      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.58      | ~ c_lessequals(X3,X4,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_806]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9171,plain,
% 2.21/2.58      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.21/2.58      | ~ c_lessequals(X1,X4,X2)
% 2.21/2.58      | ~ c_lessequals(X0,X3,X2)
% 2.21/2.58      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9170]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_800,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4372_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9158,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_800]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9159,plain,
% 2.21/2.58      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.21/2.58      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9158]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_794,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4371_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9146,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.21/2.58      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_794]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9147,plain,
% 2.21/2.58      ( ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 2.21/2.58      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9146]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_790,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4370_2) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9138,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_790]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9139,plain,
% 2.21/2.58      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.58      inference(rewriting,[status(thm)],[c_9138]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_788,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4370_0) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9134,plain,
% 2.21/2.58      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.58      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.58      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.58      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.58      inference(copy,[status(esa)],[c_788]) ).
% 2.21/2.58  
% 2.21/2.58  cnf(c_9135,plain,
% 2.21/2.58      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_9134]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_784,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4369_2) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9126,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_784]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9127,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_9126]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_782,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4369_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9122,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_782]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9123,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_9122]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_777,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4368_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9112,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_777]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9113,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_9112]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_772,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4367_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9102,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_772]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9103,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_9102]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_756,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4363_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9070,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_756]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9071,plain,
% 2.21/2.59      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_9070]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_740,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4359_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9038,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_740]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9039,plain,
% 2.21/2.59      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_9038]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_728,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4356_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9014,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_728]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9015,plain,
% 2.21/2.59      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_9014]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_724,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4355_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9006,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_724]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_9007,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | ~ c_lessequals(X3,X1,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_9006]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_720,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4354_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8998,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_720]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8999,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | ~ c_lessequals(X1,X3,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8998]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_716,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.59      | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4353_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8990,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.59      | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_716]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8991,plain,
% 2.21/2.59      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 2.21/2.59      | ~ c_lessequals(X1,X3,X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8990]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_712,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4352_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8982,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_712]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8983,plain,
% 2.21/2.59      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8982]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_708,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4351_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8974,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_708]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8975,plain,
% 2.21/2.59      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8974]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_704,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4350_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8966,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_704]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8967,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.59      | ~ c_lessequals(X1,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8966]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_700,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4349_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8958,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_700]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8959,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.59      | ~ c_lessequals(X1,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8958]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_696,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4348_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8950,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_696]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8951,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ c_lessequals(X0,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8950]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_692,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4347_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8942,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_692]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8943,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.59      | ~ c_lessequals(X3,X1,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8942]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_688,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4346_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8934,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_688]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8935,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.59      | ~ c_lessequals(X3,X0,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8934]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_683,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4345_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8924,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_683]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8925,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.59      | ~ c_lessequals(X3,X0,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8924]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_678,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4344_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8914,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(X2,X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_678]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8915,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ c_lessequals(X0,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8914]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_674,plain,
% 2.21/2.59      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.21/2.59      | ~ 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)
% 2.21/2.59      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.59      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4343_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8906,plain,
% 2.21/2.59      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.21/2.59      | ~ 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)
% 2.21/2.59      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.59      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_674]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8907,plain,
% 2.21/2.59      ( ~ 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)
% 2.21/2.59      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.21/2.59      | ~ class_RealVector_Oreal__normed__vector(X1)
% 2.21/2.59      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8906]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_671,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)
% 2.21/2.59      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4342_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8900,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)
% 2.21/2.59      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_671]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8901,plain,
% 2.21/2.59      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2)
% 2.21/2.59      | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 2.21/2.59      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8900]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_668,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4341_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8894,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_668]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8895,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.59      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8894]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_665,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4340_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8888,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_665]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8889,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.59      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8888]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_662,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.21/2.59      | c_lessequals(X2,X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4339_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8882,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 2.21/2.59      | c_lessequals(X2,X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_662]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8883,plain,
% 2.21/2.59      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.21/2.59      | c_lessequals(X1,X3,X2)
% 2.21/2.59      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8882]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_659,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 2.21/2.59      | c_lessequals(X1,X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4338_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8876,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 2.21/2.59      | c_lessequals(X1,X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_659]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8877,plain,
% 2.21/2.59      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.21/2.59      | c_lessequals(X0,X3,X2)
% 2.21/2.59      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8876]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_652,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.21/2.59      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.21/2.59      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4336_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8862,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.21/2.59      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.21/2.59      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_652]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8863,plain,
% 2.21/2.59      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oidom(X2)
% 2.21/2.59      | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8862]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_648,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.21/2.59      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.21/2.59      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4335_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8854,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.21/2.59      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.21/2.59      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_648]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8855,plain,
% 2.21/2.59      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oidom(X2)
% 2.21/2.59      | X1 = c_HOL_Ozero__class_Ozero(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8854]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_634,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.59      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.59      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 2.21/2.59      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4329_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8826,plain,
% 2.21/2.59      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.21/2.59      | ~ c_lessequals(X1,X2,X0)
% 2.21/2.59      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 2.21/2.59      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_634]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8827,plain,
% 2.21/2.59      ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 2.21/2.59      | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 2.21/2.59      | ~ c_lessequals(X2,X4,X3)
% 2.21/2.59      | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8826]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_622,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4324_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8802,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.21/2.59      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_622]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8803,plain,
% 2.21/2.59      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.21/2.59      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8802]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_618,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.59      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4323_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8794,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.59      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_618]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8795,plain,
% 2.21/2.59      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.21/2.59      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8794]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_610,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4321_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8778,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_610]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8779,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8778]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_607,plain,
% 2.21/2.59      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.59      | 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) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4320_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8772,plain,
% 2.21/2.59      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.59      | 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) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_607]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8773,plain,
% 2.21/2.59      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.21/2.59      | ~ class_Divides_Osemiring__div(X2)
% 2.21/2.59      | 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) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8772]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_602,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.21/2.59      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4319_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8762,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.21/2.59      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_602]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8763,plain,
% 2.21/2.59      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.21/2.59      | c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8762]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_587,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.21/2.59      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4316_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8732,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.21/2.59      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_587]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8733,plain,
% 2.21/2.59      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.21/2.59      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8732]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_582,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4315_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8722,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_582]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8723,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8722]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_577,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4314_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8712,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_577]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8713,plain,
% 2.21/2.59      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8712]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_572,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4313_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8702,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_572]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8703,plain,
% 2.21/2.59      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8702]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_567,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4312_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8692,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_567]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8693,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8692]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_562,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.59      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.59      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.21/2.59      | X3 = X4
% 2.21/2.59      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4311_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8682,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.59      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.59      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.21/2.59      | X3 = X4
% 2.21/2.59      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_562]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8683,plain,
% 2.21/2.59      ( ~ class_Int_Onumber__ring(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.59      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.21/2.59      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.21/2.59      | X3 = X4 ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8682]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_559,plain,
% 2.21/2.59      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.59      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4310_2) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8676,plain,
% 2.21/2.59      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.59      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_559]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8677,plain,
% 2.21/2.59      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.21/2.59      | ~ class_Divides_Osemiring__div(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8676]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_557,plain,
% 2.21/2.59      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.21/2.59      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4310_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8672,plain,
% 2.21/2.59      ( ~ class_Divides_Osemiring__div(X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.21/2.59      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_557]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8673,plain,
% 2.21/2.59      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.21/2.59      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.21/2.59      | ~ class_Divides_Osemiring__div(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8672]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_554,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4309_1) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8666,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_554]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8667,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8666]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_553,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4309_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8664,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_553]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8665,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8664]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_550,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4308_1) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8658,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_550]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8659,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8658]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_549,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4308_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8656,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_549]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8657,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8656]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_521,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4295_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8600,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_521]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8601,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8600]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_517,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4294_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8592,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_517]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8593,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8592]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_513,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4293_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8584,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_513]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8585,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8584]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_509,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4292_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8576,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.21/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_509]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8577,plain,
% 2.21/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.21/2.59      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.21/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8576]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_497,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.59      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.59      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.21/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4288_0) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8552,plain,
% 2.21/2.59      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.59      | ~ class_Int_Onumber__ring(X0)
% 2.21/2.59      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.21/2.59      inference(copy,[status(esa)],[c_497]) ).
% 2.21/2.59  
% 2.21/2.59  cnf(c_8553,plain,
% 2.21/2.59      ( ~ class_Int_Onumber__ring(X0)
% 2.21/2.59      | ~ class_Ring__and__Field_Oidom(X0)
% 2.21/2.59      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.21/2.59      inference(rewriting,[status(thm)],[c_8552]) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_490,plain,
% 2.40/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4286_0) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_8538,plain,
% 2.40/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.59      inference(copy,[status(esa)],[c_490]) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_8539,plain,
% 2.40/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.40/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.59      inference(rewriting,[status(thm)],[c_8538]) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_486,plain,
% 2.40/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4285_0) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_8530,plain,
% 2.40/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.59      inference(copy,[status(esa)],[c_486]) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_8531,plain,
% 2.40/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.40/2.59      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.59      inference(rewriting,[status(thm)],[c_8530]) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_453,plain,
% 2.40/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.40/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4276_0) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_8464,plain,
% 2.40/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.40/2.59      inference(copy,[status(esa)],[c_453]) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_8465,plain,
% 2.40/2.59      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.40/2.59      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.59      inference(rewriting,[status(thm)],[c_8464]) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_449,plain,
% 2.40/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.40/2.59      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4275_0) ).
% 2.40/2.59  
% 2.40/2.59  cnf(c_8456,plain,
% 2.40/2.59      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.59      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.59      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.40/2.59      inference(copy,[status(esa)],[c_449]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8457,plain,
% 2.40/2.60      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8456]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_445,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | c_lessequals(X3,X2,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4274_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8448,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | c_lessequals(X3,X2,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_445]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8449,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.40/2.60      | c_lessequals(X3,X1,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8448]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_441,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | c_lessequals(X2,X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4273_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8440,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | c_lessequals(X2,X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_441]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8441,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.40/2.60      | c_lessequals(X1,X3,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8440]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_437,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_lessequals(X2,X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4272_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8432,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_lessequals(X2,X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_437]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8433,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.40/2.60      | c_lessequals(X1,X3,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8432]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_433,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_lessequals(X2,X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4271_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8424,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_lessequals(X2,X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_433]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8425,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.40/2.60      | c_lessequals(X0,X3,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8424]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_429,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4270_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8416,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_429]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8417,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8416]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_425,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4269_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8408,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_425]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8409,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8408]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_421,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4268_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8400,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_421]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8401,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8400]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_417,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4267_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8392,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_417]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8393,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8392]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_413,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4266_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8384,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_413]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8385,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8384]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_410,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4265_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8378,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_410]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8379,plain,
% 2.40/2.60      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8378]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_404,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4264_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8366,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_404]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8367,plain,
% 2.40/2.60      ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 2.40/2.60      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8366]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_398,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.40/2.60      | c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4263_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8354,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.40/2.60      | c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_398]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8355,plain,
% 2.40/2.60      ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 2.40/2.60      | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8354]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_392,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4262_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8342,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_392]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8343,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8342]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_386,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.40/2.60      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4261_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8330,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.40/2.60      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_386]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8331,plain,
% 2.40/2.60      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8330]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_383,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4260_3) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8324,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_383]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8325,plain,
% 2.40/2.60      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8324]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_380,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4260_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8318,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_380]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8319,plain,
% 2.40/2.60      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8318]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_374,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4259_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8306,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_374]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8307,plain,
% 2.40/2.60      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8306]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_368,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4258_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8294,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_368]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8295,plain,
% 2.40/2.60      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8294]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_356,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4256_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8270,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_356]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8271,plain,
% 2.40/2.60      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8270]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_353,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4255_3) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8264,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_353]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8265,plain,
% 2.40/2.60      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8264]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_350,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4255_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8258,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_350]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8259,plain,
% 2.40/2.60      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8258]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_344,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4254_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8246,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_344]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8247,plain,
% 2.40/2.60      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8246]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_338,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4253_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8234,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_338]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8235,plain,
% 2.40/2.60      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8234]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_332,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.60      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4252_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8222,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.60      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_332]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8223,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.60      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.40/2.60      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8222]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_326,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4251_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8210,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.60      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_326]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8211,plain,
% 2.40/2.60      ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 2.40/2.60      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 2.40/2.60      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8210]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_320,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4250_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8198,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_320]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8199,plain,
% 2.40/2.60      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.40/2.60      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8198]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_314,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4249_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8186,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_314]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8187,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8186]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_309,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 2.40/2.60      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4247_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8176,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 2.40/2.60      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_309]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8177,plain,
% 2.40/2.60      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.60      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8176]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_306,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 2.40/2.60      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4246_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8170,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 2.40/2.60      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_306]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8171,plain,
% 2.40/2.60      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.60      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8170]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_304,plain,
% 2.40/2.60      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.60      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0)
% 2.40/2.60      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 2.40/2.60      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4245_2) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8166,plain,
% 2.40/2.60      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.60      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0)
% 2.40/2.60      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 2.40/2.60      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_304]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8167,plain,
% 2.40/2.60      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.40/2.60      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.40/2.60      | ~ class_Divides_Osemiring__div(X2)
% 2.40/2.60      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X0,X2),c_Divides_Odiv__class_Odiv(X3,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X0,X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8166]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_302,plain,
% 2.40/2.60      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.60      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.60      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.60      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4245_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8162,plain,
% 2.40/2.60      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.60      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.60      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.60      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_302]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8163,plain,
% 2.40/2.60      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.40/2.60      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.40/2.60      | ~ class_Divides_Osemiring__div(X2)
% 2.40/2.60      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X0,X2),c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X0,X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8162]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_299,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4244_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8156,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_299]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8157,plain,
% 2.40/2.60      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),X3,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8156]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_292,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4242_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8142,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_292]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8143,plain,
% 2.40/2.60      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X3,X1)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8142]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_286,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4241_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8130,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_286]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8131,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(X2,X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8130]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_280,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.60      | ~ c_lessequals(X2,X4,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4240_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8118,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.60      | ~ c_lessequals(X2,X4,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_280]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8119,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(X2,X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8118]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_278,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 2.40/2.60      | ~ c_lessequals(X4,X2,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4239_4) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8114,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 2.40/2.60      | ~ c_lessequals(X4,X2,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_278]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8115,plain,
% 2.40/2.60      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.60      | ~ c_lessequals(X4,X1,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8114]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_274,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(X3,X4,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4239_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8106,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(X3,X4,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.60      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_274]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8107,plain,
% 2.40/2.60      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | ~ c_lessequals(X4,X1,X2)
% 2.40/2.60      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8106]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_271,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.60      | ~ c_lessequals(X3,X4,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4238_3) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8100,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.60      | ~ c_lessequals(X3,X4,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_271]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8101,plain,
% 2.40/2.60      ( ~ c_lessequals(X0,X1,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_HOL_Oinverse__class_Odivide(X1,X4,X2),X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X4,X3,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8100]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_268,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(X3,X4,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4238_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8094,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(X3,X4,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_268]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8095,plain,
% 2.40/2.60      ( ~ c_lessequals(X0,X1,X2)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_HOL_Oinverse__class_Odivide(X1,X4,X2),X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X4,X3,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8094]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_264,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4237_2) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8086,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_264]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8087,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8086]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_262,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4237_0) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8082,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_262]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8083,plain,
% 2.40/2.60      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 2.40/2.60      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.40/2.60      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8082]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_260,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.60      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.60      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.60      | ~ c_lessequals(X2,X4,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4236_4) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8078,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.60      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.60      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.60      | ~ c_lessequals(X2,X4,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.60      inference(copy,[status(esa)],[c_260]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8079,plain,
% 2.40/2.60      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.60      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.60      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.60      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.40/2.60      inference(rewriting,[status(thm)],[c_8078]) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_258,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.60      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.60      | ~ c_lessequals(X2,X3,X0)
% 2.40/2.60      | ~ c_lessequals(X1,X4,X0) ),
% 2.40/2.60      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4236_2) ).
% 2.40/2.60  
% 2.40/2.60  cnf(c_8074,plain,
% 2.40/2.60      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.60      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.61      | ~ c_lessequals(X2,X3,X0)
% 2.40/2.61      | ~ c_lessequals(X1,X4,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_258]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8075,plain,
% 2.40/2.61      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.61      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.61      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8074]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_256,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.61      | ~ c_lessequals(X2,X4,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4236_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8070,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.61      | ~ c_lessequals(X2,X4,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_256]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8071,plain,
% 2.40/2.61      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.61      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.61      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8070]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_254,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.61      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.61      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.61      | ~ c_lessequals(X2,X4,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4235_4) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8066,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.61      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.61      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.61      | ~ c_lessequals(X2,X4,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_254]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8067,plain,
% 2.40/2.61      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.61      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.61      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8066]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_252,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.40/2.61      | ~ c_lessequals(X3,X2,X0)
% 2.40/2.61      | ~ c_lessequals(X1,X4,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4235_2) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8062,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.40/2.61      | ~ c_lessequals(X3,X2,X0)
% 2.40/2.61      | ~ c_lessequals(X1,X4,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_252]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8063,plain,
% 2.40/2.61      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.40/2.61      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.61      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8062]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_250,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.61      | ~ c_lessequals(X4,X2,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4235_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8058,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.61      | ~ c_lessequals(X4,X2,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_250]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8059,plain,
% 2.40/2.61      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.40/2.61      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.61      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8058]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_244,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4234_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8046,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_244]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8047,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(X2,X3,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X2,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8046]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_242,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4233_4) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8042,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_242]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8043,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8042]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_240,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4233_2) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8038,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_240]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8039,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8038]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_238,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4233_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8034,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_238]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8035,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8034]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_230,plain,
% 2.40/2.61      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X2,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X0),X4,tc_RealDef_Oreal)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X3,X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4230_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8018,plain,
% 2.40/2.61      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X2,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X0),X4,tc_RealDef_Oreal)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X3,X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_230]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8019,plain,
% 2.40/2.61      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8018]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_227,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4229_2) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8012,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_227]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8013,plain,
% 2.40/2.61      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.40/2.61      | ~ class_Divides_Osemiring__div(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8012]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_226,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4229_1) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8010,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_226]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8011,plain,
% 2.40/2.61      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.40/2.61      | ~ class_Divides_Osemiring__div(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8010]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_225,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4229_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8008,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_225]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8009,plain,
% 2.40/2.61      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.40/2.61      | ~ class_Divides_Osemiring__div(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8008]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_221,plain,
% 2.40/2.61      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4228_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8000,plain,
% 2.40/2.61      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_221]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_8001,plain,
% 2.40/2.61      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_8000]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_217,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4227_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7992,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_217]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7993,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7992]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_213,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4226_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7984,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_213]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7985,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7984]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_205,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X4,X0),X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4223_2) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7968,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X4,X0),X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_205]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7969,plain,
% 2.40/2.61      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 2.40/2.61      | ~ class_Divides_Osemiring__div(X2)
% 2.40/2.61      | 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) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7968]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_203,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4223_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7964,plain,
% 2.40/2.61      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 2.40/2.61      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_203]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7965,plain,
% 2.40/2.61      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 2.40/2.61      | ~ class_Divides_Osemiring__div(X2)
% 2.40/2.61      | 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) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7964]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_198,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4222_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7954,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_198]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7955,plain,
% 2.40/2.61      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7954]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_193,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4221_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7944,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_193]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7945,plain,
% 2.40/2.61      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7944]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_188,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.61      | ~ c_lessequals(X2,X1,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4220_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7934,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.61      | ~ c_lessequals(X2,X1,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_188]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7935,plain,
% 2.40/2.61      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.61      | ~ c_lessequals(X3,X1,X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7934]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_182,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4219_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7922,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_182]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7923,plain,
% 2.40/2.61      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 2.40/2.61      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.61      | ~ c_lessequals(X1,X3,X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7922]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_162,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.61      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4212_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7882,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.61      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_162]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7883,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.61      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.61      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7882]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_156,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 2.40/2.61      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4211_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7870,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 2.40/2.61      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_156]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7871,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.61      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.40/2.61      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.40/2.61      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7870]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_150,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.40/2.61      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.40/2.61      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4210_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7858,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.40/2.61      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.40/2.61      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_150]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7859,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.61      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.61      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7858]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_144,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 2.40/2.61      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4209_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7846,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 2.40/2.61      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_144]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7847,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.61      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.40/2.61      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7846]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_138,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4208_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7834,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_138]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7835,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.40/2.61      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7834]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_132,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4207_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7822,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_132]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7823,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.40/2.61      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7822]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_126,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4206_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7810,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_126]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7811,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7810]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_120,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4205_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7798,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_120]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7799,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7798]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_116,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4204_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7790,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_116]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7791,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X0,X2),X2),X1,X2)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X0,X1,X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7790]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_107,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.61      | ~ class_Int_Onumber__ring(X0)
% 2.40/2.61      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.40/2.61      | X1 = X3
% 2.40/2.61      | X2 = X4 ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4202_1) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7772,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.61      | ~ class_Int_Onumber__ring(X0)
% 2.40/2.61      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.40/2.61      | X1 = X3
% 2.40/2.61      | X2 = X4 ),
% 2.40/2.61      inference(copy,[status(esa)],[c_107]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7773,plain,
% 2.40/2.61      ( ~ class_Int_Onumber__ring(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.61      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.40/2.61      | X1 = X3
% 2.40/2.61      | X2 = X4 ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7772]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_106,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.61      | ~ class_Int_Onumber__ring(X0)
% 2.40/2.61      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.40/2.61      | X2 = X4
% 2.40/2.61      | X1 = X3 ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4202_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7770,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.61      | ~ class_Int_Onumber__ring(X0)
% 2.40/2.61      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.40/2.61      | X2 = X4
% 2.40/2.61      | X1 = X3 ),
% 2.40/2.61      inference(copy,[status(esa)],[c_106]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7771,plain,
% 2.40/2.61      ( ~ class_Int_Onumber__ring(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.61      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.40/2.61      | X2 = X4
% 2.40/2.61      | X1 = X3 ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7770]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_92,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4196_2) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7742,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_92]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7743,plain,
% 2.40/2.61      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7742]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_90,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4196_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7738,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_90]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7739,plain,
% 2.40/2.61      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7738]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_88,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4195_2) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7734,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_88]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7735,plain,
% 2.40/2.61      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7734]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_86,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4195_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7730,plain,
% 2.40/2.61      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.61      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_86]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7731,plain,
% 2.40/2.61      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.61      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7730]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_81,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4193_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7720,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_81]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7721,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 2.40/2.61      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7720]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_78,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4192_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7714,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.61      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_78]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7715,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.61      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 2.40/2.61      | X2 = c_HOL_Ozero__class_Ozero(X1) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7714]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_51,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Odvd(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X5,X4,X0),X0),X3,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4183_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7660,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Odvd(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X5,X4,X0),X0),X3,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_51]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7661,plain,
% 2.40/2.61      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 2.40/2.61      | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 2.40/2.61      | ~ class_Ring__and__Field_Odvd(X4) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7660]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_46,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Odvd(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4182_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7650,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Odvd(X0)
% 2.40/2.61      | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_46]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7651,plain,
% 2.40/2.61      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 2.40/2.61      | c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 2.40/2.61      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 2.40/2.61      | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 2.40/2.61      | ~ class_Ring__and__Field_Odvd(X4) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7650]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_34,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.40/2.61      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4178_0) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7626,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.40/2.61      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 2.40/2.61      inference(copy,[status(esa)],[c_34]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_7627,plain,
% 2.40/2.61      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 2.40/2.61      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 2.40/2.61      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.40/2.61      inference(rewriting,[status(thm)],[c_7626]) ).
% 2.40/2.61  
% 2.40/2.61  cnf(c_25,plain,
% 2.40/2.61      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.61      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 2.40/2.61      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 2.40/2.61      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4175_0) ).
% 2.40/2.61  
% 2.40/2.62  cnf(c_7608,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_25]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7609,plain,
% 2.40/2.62      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 2.40/2.62      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 2.40/2.62      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.40/2.62      inference(rewriting,[status(thm)],[c_7608]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_9,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 2.40/2.62      | ~ c_lessequals(X3,X6,X0)
% 2.40/2.62      | ~ c_lessequals(X6,X4,X0)
% 2.40/2.62      | ~ c_lessequals(X5,X1,X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4169_3) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7576,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 2.40/2.62      | ~ c_lessequals(X3,X6,X0)
% 2.40/2.62      | ~ c_lessequals(X6,X4,X0)
% 2.40/2.62      | ~ c_lessequals(X5,X1,X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_9]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7577,plain,
% 2.40/2.62      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(X5,X6,X1),X1)
% 2.40/2.62      | ~ c_lessequals(X6,X2,X1)
% 2.40/2.62      | ~ c_lessequals(X0,X5,X1)
% 2.40/2.62      | ~ c_lessequals(X5,X3,X1)
% 2.40/2.62      | ~ c_lessequals(X4,X6,X1)
% 2.40/2.62      | ~ class_Ring__and__Field_Olordered__ring(X1) ),
% 2.40/2.62      inference(rewriting,[status(thm)],[c_7576]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_8,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | ~ c_lessequals(X3,X1,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 2.40/2.62      | ~ c_lessequals(X4,X6,X0)
% 2.40/2.62      | ~ c_lessequals(X6,X5,X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4169_2) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7574,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | ~ c_lessequals(X3,X1,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 2.40/2.62      | ~ c_lessequals(X4,X6,X0)
% 2.40/2.62      | ~ c_lessequals(X6,X5,X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_8]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7575,plain,
% 2.40/2.62      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(X5,X6,X1),X1)
% 2.40/2.62      | ~ c_lessequals(X6,X2,X1)
% 2.40/2.62      | ~ c_lessequals(X4,X6,X1)
% 2.40/2.62      | ~ c_lessequals(X0,X5,X1)
% 2.40/2.62      | ~ c_lessequals(X5,X3,X1)
% 2.40/2.62      | ~ class_Ring__and__Field_Olordered__ring(X1) ),
% 2.40/2.62      inference(rewriting,[status(thm)],[c_7574]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_6,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | ~ c_lessequals(X3,X1,X0)
% 2.40/2.62      | ~ c_lessequals(X4,X5,X0)
% 2.40/2.62      | ~ c_lessequals(X6,X4,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4169_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7570,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | ~ c_lessequals(X3,X1,X0)
% 2.40/2.62      | ~ c_lessequals(X4,X5,X0)
% 2.40/2.62      | ~ c_lessequals(X6,X4,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_6]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7571,plain,
% 2.40/2.62      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(X5,X6,X1),X1)
% 2.40/2.62      | ~ c_lessequals(X6,X2,X1)
% 2.40/2.62      | ~ c_lessequals(X4,X6,X1)
% 2.40/2.62      | ~ c_lessequals(X5,X3,X1)
% 2.40/2.62      | ~ c_lessequals(X0,X5,X1)
% 2.40/2.62      | ~ class_Ring__and__Field_Olordered__ring(X1) ),
% 2.40/2.62      inference(rewriting,[status(thm)],[c_7570]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 2.40/2.62      | ~ c_lessequals(X5,X3,X0)
% 2.40/2.62      | ~ c_lessequals(X3,X4,X0)
% 2.40/2.62      | ~ c_lessequals(X6,X1,X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4168_3) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7564,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 2.40/2.62      | ~ c_lessequals(X5,X3,X0)
% 2.40/2.62      | ~ c_lessequals(X3,X4,X0)
% 2.40/2.62      | ~ c_lessequals(X6,X1,X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7565,plain,
% 2.40/2.62      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X2),X2),X2),X2)
% 2.40/2.62      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.62      | ~ c_lessequals(X5,X0,X2)
% 2.40/2.62      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.62      | ~ c_lessequals(X6,X1,X2)
% 2.40/2.62      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 2.40/2.62      inference(rewriting,[status(thm)],[c_7564]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_2,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | ~ c_lessequals(X3,X1,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0)
% 2.40/2.62      | ~ c_lessequals(X6,X4,X0)
% 2.40/2.62      | ~ c_lessequals(X4,X5,X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4168_2) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7562,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | ~ c_lessequals(X3,X1,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0)
% 2.40/2.62      | ~ c_lessequals(X6,X4,X0)
% 2.40/2.62      | ~ c_lessequals(X4,X5,X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_2]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7563,plain,
% 2.40/2.62      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X2),X2),X2),X2)
% 2.40/2.62      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.62      | ~ c_lessequals(X6,X1,X2)
% 2.40/2.62      | ~ c_lessequals(X5,X0,X2)
% 2.40/2.62      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.62      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 2.40/2.62      inference(rewriting,[status(thm)],[c_7562]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_0,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | ~ c_lessequals(X3,X1,X0)
% 2.40/2.62      | ~ c_lessequals(X4,X5,X0)
% 2.40/2.62      | ~ c_lessequals(X6,X4,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4168_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7558,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.62      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.62      | ~ c_lessequals(X3,X1,X0)
% 2.40/2.62      | ~ c_lessequals(X4,X5,X0)
% 2.40/2.62      | ~ c_lessequals(X6,X4,X0)
% 2.40/2.62      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_0]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_7559,plain,
% 2.40/2.62      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X2),X2),X2),X2)
% 2.40/2.62      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.62      | ~ c_lessequals(X6,X1,X2)
% 2.40/2.62      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.62      | ~ c_lessequals(X5,X0,X2)
% 2.40/2.62      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 2.40/2.62      inference(rewriting,[status(thm)],[c_7558]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3399,negated_conjecture,
% 2.40/2.62      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_4151,negated_conjecture,
% 2.40/2.62      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3399]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_4155,negated_conjecture,
% 2.40/2.62      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_4151]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_4156,negated_conjecture,
% 2.40/2.62      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_4155]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_4157,negated_conjecture,
% 2.40/2.62      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_4156]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14327,negated_conjecture,
% 2.40/2.62      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_4157]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3397,plain,
% 2.40/2.62      ( c_Log_Opowr(c_Log_Opowr(X0,X1),X2) = c_Log_Opowr(c_Log_Opowr(X0,X2),X1) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_649_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14324,plain,
% 2.40/2.62      ( c_Log_Opowr(c_Log_Opowr(X0,X1),X2) = c_Log_Opowr(c_Log_Opowr(X0,X2),X1) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3397]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3395,plain,
% 2.40/2.62      ( c_Log_Opowr(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_651_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14321,plain,
% 2.40/2.62      ( c_Log_Opowr(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3395]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3393,plain,
% 2.40/2.62      ( 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) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_653_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14318,plain,
% 2.40/2.62      ( 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) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3393]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3392,plain,
% 2.40/2.62      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_654_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14316,plain,
% 2.40/2.62      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3392]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3390,plain,
% 2.40/2.62      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_656_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14313,plain,
% 2.40/2.62      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3390]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3389,plain,
% 2.40/2.62      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_657_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14311,plain,
% 2.40/2.62      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3389]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3383,plain,
% 2.40/2.62      ( c_lessequals(X0,X0,tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_663_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14304,plain,
% 2.40/2.62      ( c_lessequals(X0,X0,tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3383]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3381,plain,
% 2.40/2.62      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_665_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14301,plain,
% 2.40/2.62      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3381]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3375,plain,
% 2.40/2.62      ( c_Transcendental_Ocos(c_Transcendental_Oarctan(X0)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_671_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14294,plain,
% 2.40/2.62      ( c_Transcendental_Ocos(c_Transcendental_Oarctan(X0)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3375]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3374,plain,
% 2.40/2.62      ( c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_672_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14292,plain,
% 2.40/2.62      ( c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3374]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3372,plain,
% 2.40/2.62      ( c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_674_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14289,plain,
% 2.40/2.62      ( c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3372]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3371,plain,
% 2.40/2.62      ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_675_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14287,plain,
% 2.40/2.62      ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3371]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3370,plain,
% 2.40/2.62      ( class_Power_Opower(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_676_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14285,plain,
% 2.40/2.62      ( class_Power_Opower(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3370]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3369,plain,
% 2.40/2.62      ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_677_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14283,plain,
% 2.40/2.62      ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3369]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3368,plain,
% 2.40/2.62      ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_678_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14281,plain,
% 2.40/2.62      ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3368]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3367,plain,
% 2.40/2.62      ( class_Lattices_Olattice(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_679_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14279,plain,
% 2.40/2.62      ( class_Lattices_Olattice(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3367]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3366,plain,
% 2.40/2.62      ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_680_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14277,plain,
% 2.40/2.62      ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3366]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3365,plain,
% 2.40/2.62      ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_681_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14275,plain,
% 2.40/2.62      ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3365]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3364,plain,
% 2.40/2.62      ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_682_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14273,plain,
% 2.40/2.62      ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3364]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3363,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_683_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14271,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3363]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3362,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_684_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14269,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3362]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3361,plain,
% 2.40/2.62      ( class_RealVector_Odist__norm(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_685_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14267,plain,
% 2.40/2.62      ( class_RealVector_Odist__norm(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3361]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3360,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_686_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14265,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3360]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3359,plain,
% 2.40/2.62      ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_687_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14263,plain,
% 2.40/2.62      ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3359]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3358,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_688_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14261,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3358]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3357,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_689_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14259,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3357]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3356,plain,
% 2.40/2.62      ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_690_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14257,plain,
% 2.40/2.62      ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3356]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3355,plain,
% 2.40/2.62      ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_691_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14255,plain,
% 2.40/2.62      ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3355]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3354,plain,
% 2.40/2.62      ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_692_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14253,plain,
% 2.40/2.62      ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3354]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3353,plain,
% 2.40/2.62      ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_693_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14251,plain,
% 2.40/2.62      ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3353]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3352,plain,
% 2.40/2.62      ( class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_694_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14249,plain,
% 2.40/2.62      ( class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3352]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3351,plain,
% 2.40/2.62      ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_695_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14247,plain,
% 2.40/2.62      ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3351]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3350,plain,
% 2.40/2.62      ( class_RealVector_Osgn__div__norm(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_696_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14245,plain,
% 2.40/2.62      ( class_RealVector_Osgn__div__norm(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3350]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3349,plain,
% 2.40/2.62      ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_697_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14243,plain,
% 2.40/2.62      ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3349]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3348,plain,
% 2.40/2.62      ( class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_698_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14241,plain,
% 2.40/2.62      ( class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3348]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3347,plain,
% 2.40/2.62      ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_699_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14239,plain,
% 2.40/2.62      ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3347]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3346,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_700_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14237,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3346]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3345,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_701_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14235,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3345]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3344,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_702_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14233,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3344]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3343,plain,
% 2.40/2.62      ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_703_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14231,plain,
% 2.40/2.62      ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3343]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3342,plain,
% 2.40/2.62      ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_704_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14229,plain,
% 2.40/2.62      ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3342]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3341,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_705_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14227,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3341]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3340,plain,
% 2.40/2.62      ( class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_706_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14225,plain,
% 2.40/2.62      ( class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3340]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3339,plain,
% 2.40/2.62      ( class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_707_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14223,plain,
% 2.40/2.62      ( class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3339]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3338,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_708_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14221,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3338]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3337,plain,
% 2.40/2.62      ( class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_709_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14219,plain,
% 2.40/2.62      ( class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3337]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3336,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_710_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14217,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3336]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3335,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_711_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14215,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3335]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3334,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_712_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14213,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3334]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3333,plain,
% 2.40/2.62      ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_713_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14211,plain,
% 2.40/2.62      ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3333]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3332,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_714_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14209,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3332]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3331,plain,
% 2.40/2.62      ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_715_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14207,plain,
% 2.40/2.62      ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3331]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3330,plain,
% 2.40/2.62      ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_716_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14205,plain,
% 2.40/2.62      ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3330]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3329,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_717_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14203,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3329]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3328,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_718_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14201,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3328]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3327,plain,
% 2.40/2.62      ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_719_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14199,plain,
% 2.40/2.62      ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3327]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3326,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_720_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14197,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3326]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3325,plain,
% 2.40/2.62      ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_721_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14195,plain,
% 2.40/2.62      ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3325]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3324,plain,
% 2.40/2.62      ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_722_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14193,plain,
% 2.40/2.62      ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3324]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3323,plain,
% 2.40/2.62      ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_723_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14191,plain,
% 2.40/2.62      ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3323]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3322,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_724_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14189,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3322]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3321,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_725_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14187,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3321]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3320,plain,
% 2.40/2.62      ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_726_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14185,plain,
% 2.40/2.62      ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3320]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3319,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_727_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14183,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3319]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3318,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_728_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14181,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3318]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3317,plain,
% 2.40/2.62      ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_729_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14179,plain,
% 2.40/2.62      ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3317]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3316,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_730_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14177,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3316]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3315,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_731_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14175,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3315]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3314,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_732_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14173,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3314]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3313,plain,
% 2.40/2.62      ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_733_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14171,plain,
% 2.40/2.62      ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3313]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3312,plain,
% 2.40/2.62      ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_734_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14169,plain,
% 2.40/2.62      ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3312]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3311,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_735_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14167,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3311]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3310,plain,
% 2.40/2.62      ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_736_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14165,plain,
% 2.40/2.62      ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3310]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3309,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_737_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14163,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3309]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3308,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_738_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14161,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3308]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3307,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_739_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14159,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3307]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3306,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_740_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14157,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3306]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3305,plain,
% 2.40/2.62      ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_741_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14155,plain,
% 2.40/2.62      ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3305]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3304,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_742_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14153,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3304]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3303,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_743_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14151,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3303]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3302,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_744_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14149,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3302]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3301,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_745_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14147,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3301]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3300,plain,
% 2.40/2.62      ( class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_746_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14145,plain,
% 2.40/2.62      ( class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3300]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3299,plain,
% 2.40/2.62      ( class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_747_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14143,plain,
% 2.40/2.62      ( class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3299]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3298,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_748_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14141,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3298]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3297,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_749_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14139,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3297]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3296,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_750_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14137,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3296]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3295,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_751_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14135,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3295]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3294,plain,
% 2.40/2.62      ( class_Power_Opower(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_752_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14133,plain,
% 2.40/2.62      ( class_Power_Opower(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3294]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3293,plain,
% 2.40/2.62      ( class_Orderings_Oorder(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_753_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14131,plain,
% 2.40/2.62      ( class_Orderings_Oorder(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3293]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3292,plain,
% 2.40/2.62      ( class_Lattices_Olattice(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_754_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14129,plain,
% 2.40/2.62      ( class_Lattices_Olattice(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3292]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3291,plain,
% 2.40/2.62      ( class_Orderings_Olinorder(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_755_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14127,plain,
% 2.40/2.62      ( class_Orderings_Olinorder(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3291]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3290,plain,
% 2.40/2.62      ( class_Orderings_Opreorder(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_756_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14125,plain,
% 2.40/2.62      ( class_Orderings_Opreorder(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3290]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3289,plain,
% 2.40/2.62      ( class_Ring__and__Field_Odvd(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_757_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14123,plain,
% 2.40/2.62      ( class_Ring__and__Field_Odvd(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3289]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3288,plain,
% 2.40/2.62      ( class_Divides_Osemiring__div(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_758_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14121,plain,
% 2.40/2.62      ( class_Divides_Osemiring__div(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3288]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3287,plain,
% 2.40/2.62      ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_759_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14119,plain,
% 2.40/2.62      ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3287]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3286,plain,
% 2.40/2.62      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_760_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14117,plain,
% 2.40/2.62      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3286]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3285,plain,
% 2.40/2.62      ( class_Lattices_Odistrib__lattice(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_761_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14115,plain,
% 2.40/2.62      ( class_Lattices_Odistrib__lattice(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3285]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3284,plain,
% 2.40/2.62      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_762_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14113,plain,
% 2.40/2.62      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3284]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3283,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_763_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14111,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3283]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3282,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_764_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14109,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3282]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3281,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_765_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14107,plain,
% 2.40/2.62      ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3281]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3280,plain,
% 2.40/2.62      ( class_Lattices_Olower__semilattice(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_766_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14105,plain,
% 2.40/2.62      ( class_Lattices_Olower__semilattice(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3280]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3279,plain,
% 2.40/2.62      ( class_Lattices_Oupper__semilattice(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_767_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14103,plain,
% 2.40/2.62      ( class_Lattices_Oupper__semilattice(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3279]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3278,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_768_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14101,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3278]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3277,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_769_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14099,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3277]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3276,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_770_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14097,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3276]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3275,plain,
% 2.40/2.62      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_771_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14095,plain,
% 2.40/2.62      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3275]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3274,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_772_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14093,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3274]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3273,plain,
% 2.40/2.62      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_773_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14091,plain,
% 2.40/2.62      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3273]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3272,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_774_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14089,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3272]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3271,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_775_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14087,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3271]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3270,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_776_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14085,plain,
% 2.40/2.62      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3270]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3269,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_777_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14083,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3269]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3268,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_778_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14081,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3268]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3267,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_779_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14079,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3267]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3266,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_780_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14077,plain,
% 2.40/2.62      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3266]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3265,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_781_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14075,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3265]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3264,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_782_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14073,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3264]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3263,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_783_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14071,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3263]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3262,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_784_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14069,plain,
% 2.40/2.62      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3262]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3261,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_785_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14067,plain,
% 2.40/2.62      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3261]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3260,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_786_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14065,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3260]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3259,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_787_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14063,plain,
% 2.40/2.62      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3259]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3257,plain,
% 2.40/2.62      ( c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_789_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14059,plain,
% 2.40/2.62      ( c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3257]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3255,plain,
% 2.40/2.62      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_791_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14056,plain,
% 2.40/2.62      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3255]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3249,plain,
% 2.40/2.62      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_797_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14049,plain,
% 2.40/2.62      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3249]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3248,plain,
% 2.40/2.62      ( c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_798_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14047,plain,
% 2.40/2.62      ( c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3248]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3245,plain,
% 2.40/2.62      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_801_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14043,plain,
% 2.40/2.62      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3245]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3243,plain,
% 2.40/2.62      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_803_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14040,plain,
% 2.40/2.62      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3243]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3239,plain,
% 2.40/2.62      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_807_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14035,plain,
% 2.40/2.62      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3239]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3238,plain,
% 2.40/2.62      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_808_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14033,plain,
% 2.40/2.62      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3238]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3235,plain,
% 2.40/2.62      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.62      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5209_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14028,plain,
% 2.40/2.62      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.62      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3235]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3233,plain,
% 2.40/2.62      ( c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.40/2.62      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5208_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14024,plain,
% 2.40/2.62      ( c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.40/2.62      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3233]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3231,plain,
% 2.40/2.62      ( c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) | X0 = X1 ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5207_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14020,plain,
% 2.40/2.62      ( c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) | X0 = X1 ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3231]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3229,plain,
% 2.40/2.62      ( c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.40/2.62      | c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5206_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14016,plain,
% 2.40/2.62      ( c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.40/2.62      | c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3229]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3225,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.40/2.62      | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5204_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14008,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.40/2.62      | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3225]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3223,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5203_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14004,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3223]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3221,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5202_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_14000,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3221]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3219,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5201_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13996,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3219]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3217,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5200_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13992,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3217]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3215,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.62      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5199_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13988,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.62      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3215]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3213,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.62      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5198_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13984,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.62      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3213]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3211,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.62      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5197_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13980,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.62      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3211]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3209,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5196_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13976,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3209]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3207,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5195_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13972,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3207]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3205,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5194_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13968,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3205]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3203,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5193_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13964,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3203]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3199,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5191_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13956,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3199]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3197,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5190_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13952,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3197]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3195,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5189_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13948,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3195]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3193,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5188_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13944,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3193]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3191,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.62      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5187_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13940,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.62      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3191]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3188,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5186_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13934,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3188]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3185,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5185_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13928,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3185]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3182,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.62      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5184_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13922,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.62      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3182]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3179,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.62      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5183_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13916,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.62      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3179]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3173,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | c_RealVector_Onorm__class_Onorm(X1,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5181_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13904,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | c_RealVector_Onorm__class_Onorm(X1,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3173]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3170,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Oof__real(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5180_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13898,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Oof__real(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3170]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3167,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5179_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13892,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3167]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3164,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5178_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13886,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.62      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3164]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3161,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5177_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13880,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3161]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13881,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ozero__class_Ozero(X0) = X1
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(rewriting,[status(thm)],[c_13880]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3158,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5176_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13874,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3158]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3155,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5175_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13868,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3155]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3152,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.62      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5174_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13862,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.62      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3152]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3145,plain,
% 2.40/2.62      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5171_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13848,plain,
% 2.40/2.62      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3145]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3139,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5168_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13836,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3139]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3135,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.62      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5167_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13828,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.62      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3135]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3131,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.62      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 2.40/2.62      | X1 = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5166_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13820,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.62      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 2.40/2.62      | X1 = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3131]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3128,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5165_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13814,plain,
% 2.40/2.62      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.62      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 2.40/2.62      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3128]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3125,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Oof__real(X1,X0) != c_RealVector_Oof__real(X2,X0)
% 2.40/2.62      | X1 = X2 ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5164_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13808,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.62      | c_RealVector_Oof__real(X1,X0) != c_RealVector_Oof__real(X2,X0)
% 2.40/2.62      | X1 = X2 ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3125]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3122,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 2.40/2.62      | X1 = X2 ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5163_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13802,plain,
% 2.40/2.62      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 2.40/2.62      | X1 = X2 ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3122]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3119,plain,
% 2.40/2.62      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 2.40/2.62      | X1 = X2 ),
% 2.40/2.62      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5162_0) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_13796,plain,
% 2.40/2.62      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.40/2.62      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 2.40/2.62      | X1 = X2 ),
% 2.40/2.62      inference(copy,[status(esa)],[c_3119]) ).
% 2.40/2.62  
% 2.40/2.62  cnf(c_3116,plain,
% 2.40/2.62      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.62      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5161_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13790,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3116]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3113,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5160_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13784,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3113]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3109,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5159_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13776,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3109]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3107,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5158_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13772,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3107]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3105,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5157_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13768,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3105]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3103,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5156_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13764,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3103]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3101,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.63      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5155_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13760,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.63      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3101]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3099,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5154_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13756,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3099]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3097,plain,
% 2.40/2.63      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5153_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13752,plain,
% 2.40/2.63      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3097]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13753,plain,
% 2.40/2.63      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13752]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3095,plain,
% 2.40/2.63      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5152_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13748,plain,
% 2.40/2.63      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3095]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13749,plain,
% 2.40/2.63      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13748]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3093,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5151_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13744,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3093]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13745,plain,
% 2.40/2.63      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 2.40/2.63      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13744]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3091,plain,
% 2.40/2.63      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.63      | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5150_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13740,plain,
% 2.40/2.63      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.63      | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3091]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3089,plain,
% 2.40/2.63      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.63      | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5149_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13736,plain,
% 2.40/2.63      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.63      | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3089]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3087,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5148_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13732,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3087]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3085,plain,
% 2.40/2.63      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.63      | c_RealVector_Odist__class_Odist(X1,X1,X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5147_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13728,plain,
% 2.40/2.63      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.63      | c_RealVector_Odist__class_Odist(X1,X1,X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3085]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3081,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.40/2.63      | X1 = X2
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5146_1) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13720,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.40/2.63      | X1 = X2
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3081]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13721,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13720]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3076,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5144_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13710,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3076]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3074,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5143_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13706,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3074]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3072,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5142_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13702,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3072]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3070,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5141_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13698,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3070]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3068,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5140_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13694,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3068]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13695,plain,
% 2.40/2.63      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.63      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13694]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3066,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5139_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13690,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3066]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13691,plain,
% 2.40/2.63      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13690]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3064,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5138_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13686,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3064]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3062,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5137_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13682,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3062]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3058,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5135_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13674,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3058]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3056,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5134_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13670,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3056]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3054,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5133_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13666,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3054]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3052,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5132_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13662,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3052]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3050,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5131_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13658,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3050]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3048,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5130_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13654,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3048]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3046,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5129_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13650,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3046]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3044,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5128_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13646,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3044]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3042,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5127_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13642,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3042]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3038,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5125_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13634,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3038]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3036,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5124_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13630,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3036]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3034,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5123_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13626,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3034]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3032,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5122_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13622,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3032]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3030,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5121_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13618,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3030]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3028,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5120_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13614,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3028]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3026,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 2.40/2.63      | c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5119_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13610,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 2.40/2.63      | c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3026]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3024,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 2.40/2.63      | c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5118_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13606,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 2.40/2.63      | c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3024]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3018,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5116_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13594,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3018]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13595,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13594]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3015,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5115_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13588,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3015]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3013,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5114_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13584,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3013]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3011,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5113_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13580,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3011]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3009,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5112_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13576,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3009]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3007,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5111_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13572,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3007]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3005,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5110_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13568,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3005]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3003,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5109_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13564,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3003]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_3001,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5108_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13560,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_3001]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2997,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5106_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13552,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2997]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2993,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5104_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13544,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2993]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2989,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5102_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13536,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2989]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2987,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5101_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13532,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2987]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2985,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5100_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13528,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2985]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2983,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5099_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13524,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2983]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2981,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5098_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13520,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2981]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2979,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5097_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13516,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2979]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2977,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5096_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13512,plain,
% 2.40/2.63      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.63      | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2977]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2975,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.40/2.63      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5095_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13508,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.40/2.63      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2975]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2970,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.63      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5093_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13498,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.63      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2970]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13499,plain,
% 2.40/2.63      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13498]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2968,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5092_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13494,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2968]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13495,plain,
% 2.40/2.63      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13494]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2963,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5090_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13484,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2963]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2959,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5089_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13476,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2959]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2950,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5086_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13458,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2950]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2948,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5085_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13454,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2948]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2946,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5084_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13450,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2946]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2944,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X0),X0) = c_RealVector_Oof__real(X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5083_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13446,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X0),X0) = c_RealVector_Oof__real(X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2944]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2942,plain,
% 2.40/2.63      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.40/2.63      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5082_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13442,plain,
% 2.40/2.63      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.40/2.63      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2942]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2937,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 2.40/2.63      | c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5080_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13432,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 2.40/2.63      | c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2937]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2935,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5079_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13428,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2935]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2933,plain,
% 2.40/2.63      ( c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X0
% 2.40/2.63      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5078_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13424,plain,
% 2.40/2.63      ( c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X0
% 2.40/2.63      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2933]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13425,plain,
% 2.40/2.63      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.63      | c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X0 ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13424]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2930,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5077_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13418,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2930]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2928,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5076_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13414,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2928]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2926,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5075_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13410,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2926]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2924,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5074_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13406,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2924]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2918,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5072_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13394,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2918]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2916,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5071_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13390,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2916]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13391,plain,
% 2.40/2.63      ( c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 2.40/2.63      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13390]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2910,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | ~ class_Int_Onumber__ring(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5069_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13378,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | ~ class_Int_Onumber__ring(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2910]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2908,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5068_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13374,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2908]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13375,plain,
% 2.40/2.63      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 2.40/2.63      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13374]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2901,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.40/2.63      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5066_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13360,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.40/2.63      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2901]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2898,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5065_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13354,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2898]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2895,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | ~ class_RealVector_Oreal__div__algebra(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5064_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13348,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | ~ class_RealVector_Oreal__div__algebra(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2895]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2891,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5062_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13340,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2891]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2889,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5061_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13336,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2889]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2887,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5060_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13332,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2887]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2878,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | 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)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5057_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13314,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | 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)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2878]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2875,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5056_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13308,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2875]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2872,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.40/2.63      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5055_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13302,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.40/2.63      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2872]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2870,plain,
% 2.40/2.63      ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5054_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13298,plain,
% 2.40/2.63      ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2870]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13299,plain,
% 2.40/2.63      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13298]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2868,plain,
% 2.40/2.63      ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5053_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13294,plain,
% 2.40/2.63      ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2868]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13295,plain,
% 2.40/2.63      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13294]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2866,plain,
% 2.40/2.63      ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5052_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13290,plain,
% 2.40/2.63      ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2866]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13291,plain,
% 2.40/2.63      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13290]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2864,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5051_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13286,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2864]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13287,plain,
% 2.40/2.63      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 2.40/2.63      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13286]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2862,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5050_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13282,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2862]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13283,plain,
% 2.40/2.63      ( c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.63      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13282]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2860,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5049_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13278,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2860]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13279,plain,
% 2.40/2.63      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0)
% 2.40/2.63      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13278]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2851,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5046_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13260,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2851]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2836,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5041_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13230,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2836]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2833,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5040_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13224,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2833]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2830,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5039_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13218,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2830]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2827,plain,
% 2.40/2.63      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.63      | c_RealVector_Odist__class_Odist(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5038_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13212,plain,
% 2.40/2.63      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.63      | c_RealVector_Odist__class_Odist(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2827]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2824,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5037_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13206,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2824]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2822,plain,
% 2.40/2.63      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.63      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5036_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13202,plain,
% 2.40/2.63      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.63      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2822]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13203,plain,
% 2.40/2.63      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.63      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13202]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2820,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5035_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13198,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2820]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13199,plain,
% 2.40/2.63      ( 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)
% 2.40/2.63      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13198]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2817,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5034_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13192,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2817]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2814,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5033_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13186,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.63      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2814]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2812,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5032_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13182,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2812]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2810,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5031_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13178,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2810]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2805,plain,
% 2.40/2.63      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.63      | c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5029_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13168,plain,
% 2.40/2.63      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.63      | c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2805]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2802,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5028_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13162,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2802]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2799,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 2.40/2.63      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5027_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13156,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 2.40/2.63      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2799]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2797,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5026_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13152,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2797]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13153,plain,
% 2.40/2.63      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.63      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13152]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2792,plain,
% 2.40/2.63      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.63      | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5024_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13142,plain,
% 2.40/2.63      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.63      | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2792]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2790,plain,
% 2.40/2.63      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.63      | c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X0 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5023_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13138,plain,
% 2.40/2.63      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.63      | c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X0 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2790]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2786,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5022_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13130,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = X2 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2786]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2772,plain,
% 2.40/2.63      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.40/2.63      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.63      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5018_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13102,plain,
% 2.40/2.63      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.40/2.63      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.63      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2772]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2765,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5016_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13088,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2765]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13089,plain,
% 2.40/2.63      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.63      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13088]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2754,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5013_1) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13066,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2754]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2753,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5013_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13064,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2753]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2750,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5012_1) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13058,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2750]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2749,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5012_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13056,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2749]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2747,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.63      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5011_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13052,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.63      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2747]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13053,plain,
% 2.40/2.63      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13052]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2745,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.63      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5010_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13048,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.63      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2745]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13049,plain,
% 2.40/2.63      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.63      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13048]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2743,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5009_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13044,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.63      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2743]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13045,plain,
% 2.40/2.63      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 2.40/2.63      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.40/2.63      inference(rewriting,[status(thm)],[c_13044]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2741,plain,
% 2.40/2.63      ( ~ class_Int_Onumber__ring(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5008_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13040,plain,
% 2.40/2.63      ( ~ class_Int_Onumber__ring(X0)
% 2.40/2.63      | 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) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2741]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2738,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5007_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13034,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2738]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2735,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5006_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13028,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.63      | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2735]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2733,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5005_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13024,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2733]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2731,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = X1 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5004_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13020,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = X1 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2731]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2728,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5003_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13014,plain,
% 2.40/2.63      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.63      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 2.40/2.63      | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2728]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2726,plain,
% 2.40/2.63      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.63      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5002_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13010,plain,
% 2.40/2.63      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.63      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2726]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2724,plain,
% 2.40/2.63      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.63      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5001_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13006,plain,
% 2.40/2.63      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.63      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2724]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2722,plain,
% 2.40/2.63      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.63      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5000_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_13002,plain,
% 2.40/2.63      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.63      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2722]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2720,plain,
% 2.40/2.63      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.63      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4999_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_12998,plain,
% 2.40/2.63      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.63      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2720]) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_2718,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.40/2.63      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4998_0) ).
% 2.40/2.63  
% 2.40/2.63  cnf(c_12994,plain,
% 2.40/2.63      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.40/2.63      | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.40/2.63      inference(copy,[status(esa)],[c_2718]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2714,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4996_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12986,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2714]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2710,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.64      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4994_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12978,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.64      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2710]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2708,plain,
% 2.40/2.64      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.64      | c_RealVector_Odist__class_Odist(X1,X2,X0) = c_RealVector_Odist__class_Odist(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4993_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12974,plain,
% 2.40/2.64      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.64      | c_RealVector_Odist__class_Odist(X1,X2,X0) = c_RealVector_Odist__class_Odist(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2708]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2705,plain,
% 2.40/2.64      ( ~ class_Orderings_Olinorder(X0)
% 2.40/2.64      | c_lessequals(X1,X2,X0)
% 2.40/2.64      | c_lessequals(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4992_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12968,plain,
% 2.40/2.64      ( ~ class_Orderings_Olinorder(X0)
% 2.40/2.64      | c_lessequals(X1,X2,X0)
% 2.40/2.64      | c_lessequals(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2705]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12969,plain,
% 2.40/2.64      ( c_lessequals(X0,X1,X2)
% 2.40/2.64      | c_lessequals(X1,X0,X2)
% 2.40/2.64      | ~ class_Orderings_Olinorder(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12968]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2696,plain,
% 2.40/2.64      ( ~ class_Orderings_Olinorder(X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X1,X1,X0)
% 2.40/2.64      | c_lessequals(X1,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4989_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12950,plain,
% 2.40/2.64      ( ~ class_Orderings_Olinorder(X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X1,X1,X0)
% 2.40/2.64      | c_lessequals(X1,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2696]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12951,plain,
% 2.40/2.64      ( c_lessequals(X0,X0,X1)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X0,X0,X1)
% 2.40/2.64      | ~ class_Orderings_Olinorder(X1) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12950]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2693,plain,
% 2.40/2.64      ( ~ class_Orderings_Olinorder(X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | c_lessequals(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4988_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12944,plain,
% 2.40/2.64      ( ~ class_Orderings_Olinorder(X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | c_lessequals(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2693]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12945,plain,
% 2.40/2.64      ( c_lessequals(X0,X1,X2)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.40/2.64      | ~ class_Orderings_Olinorder(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12944]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2687,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.64      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4986_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12932,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.64      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2687]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2647,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4974_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12852,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2647]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2635,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 2.40/2.64      | c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4971_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12828,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 2.40/2.64      | c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2635]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2633,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4970_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12824,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2633]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2630,plain,
% 2.40/2.64      ( c_NthRoot_Oroot(X0,X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4969_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12818,plain,
% 2.40/2.64      ( c_NthRoot_Oroot(X0,X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2630]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12819,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_NthRoot_Oroot(X1,X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12818]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2621,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.64      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4966_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12800,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.64      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2621]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2619,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4965_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12796,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2619]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12797,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12796]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2617,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4964_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12792,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2617]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12793,plain,
% 2.40/2.64      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12792]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2607,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | X0 = X1 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4961_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12772,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | X0 = X1 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2607]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2602,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4959_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12762,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2602]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2600,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.64      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4958_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12758,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.64      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2600]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2598,plain,
% 2.40/2.64      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.40/2.64      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4957_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12754,plain,
% 2.40/2.64      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.40/2.64      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2598]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2596,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.64      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),X2,X0) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4956_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12750,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.64      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),X2,X0) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2596]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2592,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4954_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12742,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2592]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2590,plain,
% 2.40/2.64      ( ~ class_Int_Onumber__ring(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4953_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12738,plain,
% 2.40/2.64      ( ~ class_Int_Onumber__ring(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2590]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2588,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4952_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12734,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2588]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2586,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4951_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12730,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2586]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2583,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.64      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4950_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12724,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.64      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2583]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2580,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.64      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4949_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12718,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.64      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2580]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2578,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4948_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12714,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2578]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12715,plain,
% 2.40/2.64      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.64      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12714]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2575,plain,
% 2.40/2.64      ( ~ class_Orderings_Opreorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | c_lessequals(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4947_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12708,plain,
% 2.40/2.64      ( ~ class_Orderings_Opreorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | c_lessequals(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2575]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12709,plain,
% 2.40/2.64      ( c_lessequals(X0,X1,X2)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.40/2.64      | ~ class_Orderings_Opreorder(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12708]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2572,plain,
% 2.40/2.64      ( ~ class_Orderings_Oorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | c_lessequals(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4946_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12702,plain,
% 2.40/2.64      ( ~ class_Orderings_Oorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | c_lessequals(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2572]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12703,plain,
% 2.40/2.64      ( c_lessequals(X0,X1,X2)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.40/2.64      | ~ class_Orderings_Oorder(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12702]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2554,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | ~ class_Int_Onumber__ring(X0)
% 2.40/2.64      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4940_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12666,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | ~ class_Int_Onumber__ring(X0)
% 2.40/2.64      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2554]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2552,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4939_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12662,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2552]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12663,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12662]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2550,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4938_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12658,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2550]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12659,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12658]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2548,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4937_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12654,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2548]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12655,plain,
% 2.40/2.64      ( c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12654]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2546,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4936_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12650,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2546]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12651,plain,
% 2.40/2.64      ( c_lessequals(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12650]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2538,plain,
% 2.40/2.64      ( ~ class_RealVector_Osgn__div__norm(X0)
% 2.40/2.64      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal),X1,X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4933_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12634,plain,
% 2.40/2.64      ( ~ class_RealVector_Osgn__div__norm(X0)
% 2.40/2.64      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal),X1,X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2538]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2504,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4924_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12566,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2504]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12567,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12566]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2500,plain,
% 2.40/2.64      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4922_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12558,plain,
% 2.40/2.64      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2500]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12559,plain,
% 2.40/2.64      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12558]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2498,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4921_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12554,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2498]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12555,plain,
% 2.40/2.64      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12554]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2496,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4920_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12550,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2496]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12551,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12550]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2494,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4919_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12546,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2494]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12547,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12546]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2490,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4917_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12538,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2490]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12539,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12538]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2488,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4916_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12534,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2488]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12535,plain,
% 2.40/2.64      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12534]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2484,plain,
% 2.40/2.64      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4914_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12526,plain,
% 2.40/2.64      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2484]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12527,plain,
% 2.40/2.64      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12526]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2476,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4911_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12510,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2476]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2474,plain,
% 2.40/2.64      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4910_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12506,plain,
% 2.40/2.64      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2474]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2472,plain,
% 2.40/2.64      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4909_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12502,plain,
% 2.40/2.64      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2472]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2470,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4908_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12498,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2470]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2468,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4907_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12494,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2468]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2466,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4906_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12490,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2466]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2464,plain,
% 2.40/2.64      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4905_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12486,plain,
% 2.40/2.64      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2464]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2462,plain,
% 2.40/2.64      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4904_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12482,plain,
% 2.40/2.64      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2462]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2460,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4903_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12478,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2460]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12479,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal)
% 2.40/2.64      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12478]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2458,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4902_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12474,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2458]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2456,plain,
% 2.40/2.64      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4901_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12470,plain,
% 2.40/2.64      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 2.40/2.64      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2456]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2450,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4899_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12458,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2450]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2448,plain,
% 2.40/2.64      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4898_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12454,plain,
% 2.40/2.64      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2448]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12455,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12454]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2446,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4897_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12450,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2446]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2444,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4896_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12446,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2444]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2442,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4895_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12442,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2442]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2440,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4894_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12438,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2440]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2438,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Odvd(X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4893_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12434,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Odvd(X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2438]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12435,plain,
% 2.40/2.64      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.40/2.64      | ~ class_Ring__and__Field_Odvd(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12434]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2436,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4892_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12430,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2436]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12431,plain,
% 2.40/2.64      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.40/2.64      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12430]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2434,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4891_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12426,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2434]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12427,plain,
% 2.40/2.64      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 2.40/2.64      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12426]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2432,plain,
% 2.40/2.64      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.64      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4890_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12422,plain,
% 2.40/2.64      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.64      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2432]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12423,plain,
% 2.40/2.64      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2),X2)
% 2.40/2.64      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12422]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2430,plain,
% 2.40/2.64      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.64      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4889_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12418,plain,
% 2.40/2.64      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.64      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2430]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12419,plain,
% 2.40/2.64      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2)
% 2.40/2.64      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12418]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2428,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4888_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12414,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2428]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12415,plain,
% 2.40/2.64      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2),X2)
% 2.40/2.64      | ~ class_Lattices_Olattice(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12414]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2426,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4887_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12410,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2426]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12411,plain,
% 2.40/2.64      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2)
% 2.40/2.64      | ~ class_Lattices_Olattice(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12410]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2424,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4886_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12406,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2424]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12407,plain,
% 2.40/2.64      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 2.40/2.64      | ~ class_Lattices_Olattice(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12406]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2422,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4885_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12402,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2422]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12403,plain,
% 2.40/2.64      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 2.40/2.64      | ~ class_Lattices_Olattice(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12402]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2420,plain,
% 2.40/2.64      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.64      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4884_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12398,plain,
% 2.40/2.64      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.64      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2420]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12399,plain,
% 2.40/2.64      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 2.40/2.64      | ~ class_Lattices_Olower__semilattice(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12398]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2418,plain,
% 2.40/2.64      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.64      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4883_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12394,plain,
% 2.40/2.64      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.64      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2418]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12395,plain,
% 2.40/2.64      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 2.40/2.64      | ~ class_Lattices_Olower__semilattice(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12394]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2416,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.64      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4882_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12390,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.64      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2416]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2414,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = X1 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4881_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12386,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = X1 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2414]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2412,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4880_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12382,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2412]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2410,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = X1 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4879_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12378,plain,
% 2.40/2.64      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.64      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = X1 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2410]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2407,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 2.40/2.64      | X1 = X0 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4878_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12372,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.64      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 2.40/2.64      | X1 = X0 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2407]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2405,plain,
% 2.40/2.64      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.64      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4877_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12368,plain,
% 2.40/2.64      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.64      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2405]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12369,plain,
% 2.40/2.64      ( c_lessequals(c_RealVector_Odist__class_Odist(X0,X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.64      | ~ class_RealVector_Ometric__space(X1) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12368]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2403,plain,
% 2.40/2.64      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.64      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X0),tc_RealDef_Oreal) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4876_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12364,plain,
% 2.40/2.64      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.64      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X0),tc_RealDef_Oreal) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2403]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12365,plain,
% 2.40/2.64      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X1,X2),tc_RealDef_Oreal)
% 2.40/2.64      | ~ class_RealVector_Ometric__space(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12364]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2400,plain,
% 2.40/2.64      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal)
% 2.40/2.64      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.64      | X1 = X2 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4875_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12358,plain,
% 2.40/2.64      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal)
% 2.40/2.64      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.64      | X1 = X2 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2400]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2397,plain,
% 2.40/2.64      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.64      | X0 = X2 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4874_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12352,plain,
% 2.40/2.64      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.64      | X0 = X2 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2397]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2395,plain,
% 2.40/2.64      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.64      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4873_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12348,plain,
% 2.40/2.64      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.64      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2395]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2393,plain,
% 2.40/2.64      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.64      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4872_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12344,plain,
% 2.40/2.64      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.64      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2393]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2391,plain,
% 2.40/2.64      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.64      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4871_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12340,plain,
% 2.40/2.64      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.64      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2391]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2385,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | 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)
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4869_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12328,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | 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)
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2385]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2382,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4868_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12322,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2382]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12323,plain,
% 2.40/2.64      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.40/2.64      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12322]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2379,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4867_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12316,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2379]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12317,plain,
% 2.40/2.64      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 2.40/2.64      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12316]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2376,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4866_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12310,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2376]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12311,plain,
% 2.40/2.64      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 2.40/2.64      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12310]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2373,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4865_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12304,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2373]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12305,plain,
% 2.40/2.64      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.40/2.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.40/2.64      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12304]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2370,plain,
% 2.40/2.64      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.64      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4864_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12298,plain,
% 2.40/2.64      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.64      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2370]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2367,plain,
% 2.40/2.64      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.64      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4863_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12292,plain,
% 2.40/2.64      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.64      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2367]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2361,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4861_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12280,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2361]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12281,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12280]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2359,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.64      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4860_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12276,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.64      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2359]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12277,plain,
% 2.40/2.64      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 2.40/2.64      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12276]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2356,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4859_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12270,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2356]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2353,plain,
% 2.40/2.64      ( ~ class_Orderings_Oorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4858_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12264,plain,
% 2.40/2.64      ( ~ class_Orderings_Oorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2353]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12265,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.40/2.64      | ~ class_Orderings_Oorder(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12264]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2350,plain,
% 2.40/2.64      ( ~ class_Orderings_Olinorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4857_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12258,plain,
% 2.40/2.64      ( ~ class_Orderings_Olinorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2350]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12259,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.40/2.64      | ~ class_Orderings_Olinorder(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12258]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2344,plain,
% 2.40/2.64      ( ~ class_Orderings_Opreorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4855_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12246,plain,
% 2.40/2.64      ( ~ class_Orderings_Opreorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2344]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12247,plain,
% 2.40/2.64      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.40/2.64      | ~ class_Orderings_Opreorder(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12246]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2338,plain,
% 2.40/2.64      ( ~ class_Orderings_Olinorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | ~ c_lessequals(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4853_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12234,plain,
% 2.40/2.64      ( ~ class_Orderings_Olinorder(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.64      | ~ c_lessequals(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2338]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12235,plain,
% 2.40/2.64      ( ~ c_lessequals(X0,X1,X2)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 2.40/2.64      | ~ class_Orderings_Olinorder(X2) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12234]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2329,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.64      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 2.40/2.64      | X1 = X2 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4850_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12216,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.64      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 2.40/2.64      | X1 = X2 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2329]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2326,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.64      | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 2.40/2.64      | X2 = X3 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4849_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12210,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.64      | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 2.40/2.64      | X2 = X3 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2326]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2323,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 2.40/2.64      | X1 = X3 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4848_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12204,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 2.40/2.64      | X1 = X3 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2323]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2320,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.40/2.64      | X2 = X3 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4847_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12198,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.40/2.64      | X2 = X3 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2320]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2317,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.40/2.64      | X2 = X3 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4846_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12192,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 2.40/2.64      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 2.40/2.64      | X2 = X3 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2317]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2315,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4845_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12188,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2315]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12189,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 2.40/2.64      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12188]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2295,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.64      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4840_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12148,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.64      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2295]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2287,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4838_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12132,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2287]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2285,plain,
% 2.40/2.64      ( ~ class_RealVector_Odist__norm(X0)
% 2.40/2.64      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_RealVector_Odist__class_Odist(X1,X2,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4837_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12128,plain,
% 2.40/2.64      ( ~ class_RealVector_Odist__norm(X0)
% 2.40/2.64      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_RealVector_Odist__class_Odist(X1,X2,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2285]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2283,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.64      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4836_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12124,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.64      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2283]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2264,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.64      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X1,X3,X0)
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.64      | X2 = X3 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4830_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12086,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.64      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X1,X3,X0)
% 2.40/2.64      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.64      | X2 = X3 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2264]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2260,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.64      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.64      | X1 = X3 ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4829_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12078,plain,
% 2.40/2.64      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.64      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 2.40/2.64      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.64      | X1 = X3 ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2260]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2258,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4828_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12074,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.64      | 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) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2258]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12075,plain,
% 2.40/2.64      ( 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)
% 2.40/2.64      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12074]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2233,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4820_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12024,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2233]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2230,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4819_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12018,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2230]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12019,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.64      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12018]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2227,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4818_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12012,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2227]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12013,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.64      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12012]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2224,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4817_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12006,plain,
% 2.40/2.64      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.64      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2224]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12007,plain,
% 2.40/2.64      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.64      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.64      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.40/2.64      inference(rewriting,[status(thm)],[c_12006]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_2221,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.64      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.64      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.64      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4816_0) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12000,plain,
% 2.40/2.64      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.64      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.64      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.64      inference(copy,[status(esa)],[c_2221]) ).
% 2.40/2.64  
% 2.40/2.64  cnf(c_12001,plain,
% 2.40/2.64      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.40/2.64      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.64      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_12000]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2215,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4814_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11988,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2215]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11989,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11988]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2212,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4813_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11982,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2212]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11983,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11982]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2203,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4810_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11964,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2203]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2200,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4809_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11958,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2200]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11959,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11958]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2197,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4808_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11952,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2197]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11953,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.40/2.65      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11952]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2194,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.40/2.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4807_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11946,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.40/2.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2194]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11947,plain,
% 2.40/2.65      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.65      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.40/2.65      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11946]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2191,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4806_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11940,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2191]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11941,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.40/2.65      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11940]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2188,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.40/2.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4805_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11934,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.40/2.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2188]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11935,plain,
% 2.40/2.65      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.65      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.40/2.65      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11934]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2186,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4804_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11930,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2186]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2184,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4803_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11926,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2184]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2180,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.65      | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 2.40/2.65      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 2.40/2.65      | X1 = X2 ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4802_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11918,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.65      | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 2.40/2.65      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 2.40/2.65      | X1 = X2 ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2180]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2176,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4801_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11910,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2176]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11911,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11910]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2172,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4800_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11902,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2172]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11903,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11902]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2168,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4799_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11894,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2168]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11895,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11894]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2164,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.65      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4798_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11886,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.65      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2164]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11887,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11886]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2160,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4797_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11878,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2160]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11879,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.65      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11878]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2156,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4796_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11870,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2156]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11871,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11870]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2152,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4795_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11862,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2152]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11863,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.40/2.65      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11862]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2146,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4793_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11850,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2146]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11851,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11850]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2143,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4792_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11844,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2143]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11845,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 2.40/2.65      | ~ c_lessequals(X2,X0,X1)
% 2.40/2.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11844]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2140,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4791_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11838,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2140]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11839,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 2.40/2.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11838]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2123,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4786_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11804,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2123]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11805,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11804]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2114,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4783_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11786,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2114]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11787,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11786]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2112,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4782_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11782,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2112]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2108,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4780_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11774,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2108]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2106,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4779_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11770,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2106]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2104,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4778_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11766,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2104]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2102,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4777_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11762,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2102]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2100,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4776_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11758,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2100]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2098,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4775_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11754,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2098]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2096,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4774_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11750,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2096]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2092,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4772_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11742,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2092]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2088,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4770_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11734,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2088]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2086,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4769_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11730,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2086]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2046,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4759_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11650,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2046]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11651,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11650]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2043,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.65      | 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)
% 2.40/2.65      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4758_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11644,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.65      | 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)
% 2.40/2.65      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2043]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2040,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.65      | 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)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4757_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11638,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.65      | 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)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2040]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2035,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.40/2.65      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4755_1) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11628,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.40/2.65      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2035]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11629,plain,
% 2.40/2.65      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.40/2.65      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 2.40/2.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11628]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2029,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4753_1) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11616,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2029]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11617,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 2.40/2.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11616]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2023,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4751_1) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11604,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2023]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11605,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 2.40/2.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11604]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2017,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4749_1) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11592,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2017]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11593,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 2.40/2.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11592]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2007,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4746_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11572,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2007]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2004,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4745_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11566,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2004]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2003,plain,
% 2.40/2.65      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4744_2) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11564,plain,
% 2.40/2.65      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2003]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2002,plain,
% 2.40/2.65      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.65      | c_lessequals(X2,X1,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4744_1) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11562,plain,
% 2.40/2.65      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.65      | c_lessequals(X2,X1,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2002]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_2001,plain,
% 2.40/2.65      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
% 2.40/2.65      | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4744_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11560,plain,
% 2.40/2.65      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
% 2.40/2.65      | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_2001]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1999,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4743_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11556,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1999]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1997,plain,
% 2.40/2.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.65      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4742_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11552,plain,
% 2.40/2.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.65      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1997]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1995,plain,
% 2.40/2.65      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.65      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4741_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11548,plain,
% 2.40/2.65      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.65      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1995]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1993,plain,
% 2.40/2.65      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.65      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4740_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11544,plain,
% 2.40/2.65      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.65      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1993]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1991,plain,
% 2.40/2.65      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.65      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4739_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11540,plain,
% 2.40/2.65      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.65      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1991]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1989,plain,
% 2.40/2.65      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.65      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4738_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11536,plain,
% 2.40/2.65      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.65      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1989]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1987,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.40/2.65      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4737_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11532,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.40/2.65      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1987]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1985,plain,
% 2.40/2.65      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.65      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4736_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11528,plain,
% 2.40/2.65      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.65      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1985]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1983,plain,
% 2.40/2.65      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.65      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4735_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11524,plain,
% 2.40/2.65      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.65      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1983]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1981,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4734_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11520,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1981]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11521,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11520]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1973,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.65      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4731_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11504,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.65      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1973]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1971,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4730_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11500,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1971]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1968,plain,
% 2.40/2.65      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4729_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11494,plain,
% 2.40/2.65      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.65      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1968]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11495,plain,
% 2.40/2.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11494]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1965,plain,
% 2.40/2.65      ( ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4728_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11488,plain,
% 2.40/2.65      ( ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1965]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11489,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11488]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1963,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4727_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11484,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1963]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1961,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4726_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11480,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1961]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1959,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4725_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11476,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1959]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1957,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4724_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11472,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1957]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1955,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4723_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11468,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1955]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1953,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.65      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4722_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11464,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.65      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1953]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1951,plain,
% 2.40/2.65      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.40/2.65      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4721_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11460,plain,
% 2.40/2.65      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.40/2.65      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1951]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1949,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.65      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4720_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11456,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.65      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1949]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1947,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.65      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4719_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11452,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.65      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1947]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1945,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4718_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11448,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1945]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1943,plain,
% 2.40/2.65      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.40/2.65      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4717_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11444,plain,
% 2.40/2.65      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.40/2.65      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1943]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1941,plain,
% 2.40/2.65      ( ~ class_Orderings_Oorder(X0)
% 2.40/2.65      | c_lessequals(X1,X2,X0)
% 2.40/2.65      | ~ c_lessequals(X3,X2,X0)
% 2.40/2.65      | ~ c_lessequals(X1,X3,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4716_2) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11440,plain,
% 2.40/2.65      ( ~ class_Orderings_Oorder(X0)
% 2.40/2.65      | c_lessequals(X1,X2,X0)
% 2.40/2.65      | ~ c_lessequals(X3,X2,X0)
% 2.40/2.65      | ~ c_lessequals(X1,X3,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1941]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11441,plain,
% 2.40/2.65      ( c_lessequals(X0,X1,X2)
% 2.40/2.65      | ~ c_lessequals(X3,X1,X2)
% 2.40/2.65      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.65      | ~ class_Orderings_Oorder(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11440]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1929,plain,
% 2.40/2.65      ( ~ class_Orderings_Opreorder(X0)
% 2.40/2.65      | c_lessequals(X1,X2,X0)
% 2.40/2.65      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.65      | ~ c_lessequals(X3,X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4713_2) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11416,plain,
% 2.40/2.65      ( ~ class_Orderings_Opreorder(X0)
% 2.40/2.65      | c_lessequals(X1,X2,X0)
% 2.40/2.65      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.65      | ~ c_lessequals(X3,X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1929]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11417,plain,
% 2.40/2.65      ( c_lessequals(X0,X1,X2)
% 2.40/2.65      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.65      | ~ c_lessequals(X3,X1,X2)
% 2.40/2.65      | ~ class_Orderings_Opreorder(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11416]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1917,plain,
% 2.40/2.65      ( ~ class_Orderings_Opreorder(X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4710_2) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11392,plain,
% 2.40/2.65      ( ~ class_Orderings_Opreorder(X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1917]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11393,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.40/2.65      | ~ class_Orderings_Opreorder(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11392]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1913,plain,
% 2.40/2.65      ( ~ class_Orderings_Oorder(X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4709_2) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11384,plain,
% 2.40/2.65      ( ~ class_Orderings_Oorder(X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1913]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11385,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.40/2.65      | ~ class_Orderings_Oorder(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11384]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1909,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.65      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4708_2) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11376,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.65      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1909]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11377,plain,
% 2.40/2.65      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 2.40/2.65      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11376]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1904,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ class_RealVector_Oreal__div__algebra(X0)
% 2.40/2.65      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4707_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11366,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | ~ class_RealVector_Oreal__div__algebra(X0)
% 2.40/2.65      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1904]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1901,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | 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)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4706_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11360,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.65      | 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)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1901]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1897,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 2.40/2.65      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.65      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4705_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11352,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 2.40/2.65      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.65      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1897]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11353,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 2.40/2.65      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0)
% 2.40/2.65      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11352]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1882,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4700_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11322,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.65      | 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) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1882]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1879,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.65      | 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(X2,X1,X0),X0)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.65      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4699_1) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11316,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.65      | 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(X2,X1,X0),X0)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.65      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1879]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1878,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.65      | 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(X2,X1,X0),X0)
% 2.40/2.65      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4699_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11314,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.65      | 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(X2,X1,X0),X0)
% 2.40/2.65      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1878]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1876,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4698_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11310,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.65      | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1876]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1874,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.65      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4697_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11306,plain,
% 2.40/2.65      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.65      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1874]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1872,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.65      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4696_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11302,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.65      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1872]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1869,plain,
% 2.40/2.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.65      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.65      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X0),X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4695_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11296,plain,
% 2.40/2.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.65      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.65      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X0),X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1869]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11297,plain,
% 2.40/2.65      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 2.40/2.65      | ~ c_lessequals(X1,X3,X2)
% 2.40/2.65      | ~ class_Lattices_Olower__semilattice(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11296]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1866,plain,
% 2.40/2.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.65      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.65      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4694_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11290,plain,
% 2.40/2.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.65      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.65      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1866]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11291,plain,
% 2.40/2.65      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 2.40/2.65      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.65      | ~ class_Lattices_Olower__semilattice(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11290]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1863,plain,
% 2.40/2.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4693_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11284,plain,
% 2.40/2.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1863]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11285,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.40/2.65      | ~ class_Lattices_Olower__semilattice(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11284]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1860,plain,
% 2.40/2.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X0),X2,X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4692_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11278,plain,
% 2.40/2.65      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X0),X2,X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1860]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11279,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.40/2.65      | ~ class_Lattices_Olower__semilattice(X2) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11278]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1857,plain,
% 2.40/2.65      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4691_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11272,plain,
% 2.40/2.65      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1857]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11273,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 2.40/2.65      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11272]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1854,plain,
% 2.40/2.65      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4690_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11266,plain,
% 2.40/2.65      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1854]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11267,plain,
% 2.40/2.65      ( c_HOL_Oord__class_Oless(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 2.40/2.65      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11266]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1851,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.65      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4689_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11260,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.65      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1851]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11261,plain,
% 2.40/2.65      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.40/2.65      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11260]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1848,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.65      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4688_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11254,plain,
% 2.40/2.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.65      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1848]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11255,plain,
% 2.40/2.65      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 2.40/2.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.40/2.65      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11254]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1845,plain,
% 2.40/2.65      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.65      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.65      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4687_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11248,plain,
% 2.40/2.65      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.65      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.65      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1845]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11249,plain,
% 2.40/2.65      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 2.40/2.65      | ~ c_lessequals(X0,X1,X3)
% 2.40/2.65      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11248]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1842,plain,
% 2.40/2.65      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.65      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.65      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4686_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11242,plain,
% 2.40/2.65      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.65      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.65      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1842]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11243,plain,
% 2.40/2.65      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 2.40/2.65      | ~ c_lessequals(X0,X2,X3)
% 2.40/2.65      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11242]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1830,plain,
% 2.40/2.65      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.65      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal) ),
% 2.40/2.65      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4682_0) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11218,plain,
% 2.40/2.65      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.65      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal) ),
% 2.40/2.65      inference(copy,[status(esa)],[c_1830]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_11219,plain,
% 2.40/2.65      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.65      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal)
% 2.40/2.65      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.40/2.65      inference(rewriting,[status(thm)],[c_11218]) ).
% 2.40/2.65  
% 2.40/2.65  cnf(c_1827,plain,
% 2.40/2.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.65      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.65      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4681_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11212,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1827]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11213,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11212]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1824,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4680_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11206,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1824]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11207,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_lessequals(X0,X1,X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11206]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1822,plain,
% 2.40/2.66      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X1,X0),tc_RealDef_Oreal) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4679_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11202,plain,
% 2.40/2.66      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X1,X0),tc_RealDef_Oreal) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1822]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11203,plain,
% 2.40/2.66      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X0,X1),tc_RealDef_Oreal)
% 2.40/2.66      | ~ class_RealVector_Ometric__space(X1) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11202]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1820,plain,
% 2.40/2.66      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4678_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11198,plain,
% 2.40/2.66      ( ~ class_RealVector_Ometric__space(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1820]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11199,plain,
% 2.40/2.66      ( ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.66      | ~ class_RealVector_Ometric__space(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11198]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1815,plain,
% 2.40/2.66      ( 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)
% 2.40/2.66      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4676_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11188,plain,
% 2.40/2.66      ( 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)
% 2.40/2.66      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1815]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1813,plain,
% 2.40/2.66      ( 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)
% 2.40/2.66      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4675_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11184,plain,
% 2.40/2.66      ( 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)
% 2.40/2.66      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1813]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1810,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4674_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11178,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1810]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11179,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.66      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.66      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11178]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1807,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4673_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11172,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1807]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11173,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11172]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1804,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4672_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11166,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1804]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11167,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11166]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1801,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4671_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11160,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1801]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11161,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11160]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1798,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4670_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11154,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1798]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11155,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11154]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1795,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4669_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11148,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1795]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11149,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11148]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1793,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4668_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11144,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1793]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11145,plain,
% 2.40/2.66      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11144]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1790,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4667_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11138,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1790]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11139,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11138]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1787,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4666_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11132,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1787]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11133,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.66      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11132]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1784,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4665_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11126,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1784]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11127,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11126]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1767,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 2.40/2.66      | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4661_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11092,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 2.40/2.66      | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1767]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1758,plain,
% 2.40/2.66      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4658_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11074,plain,
% 2.40/2.66      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1758]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11075,plain,
% 2.40/2.66      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11074]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1755,plain,
% 2.40/2.66      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 2.40/2.66      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4657_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11068,plain,
% 2.40/2.66      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 2.40/2.66      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1755]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11069,plain,
% 2.40/2.66      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11068]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1753,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4656_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11064,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1753]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1751,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4655_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11060,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1751]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1743,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4653_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11044,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1743]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11045,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11044]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1739,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4652_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11036,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1739]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11037,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11036]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1735,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4651_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11028,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1735]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11029,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11028]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1731,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4650_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11020,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1731]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_11021,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_11020]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1711,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X2,X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4645_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10980,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X2,X1,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1711]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10981,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 2.40/2.66      | ~ c_lessequals(X2,X0,X1)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10980]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1707,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4644_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10972,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1707]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10973,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 2.40/2.66      | ~ c_lessequals(X2,X0,X1)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10972]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1686,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.66      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.40/2.66      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.40/2.66      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4639_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10930,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.66      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.40/2.66      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.40/2.66      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1686]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1677,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4637_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10912,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1677]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10913,plain,
% 2.40/2.66      ( 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)
% 2.40/2.66      | ~ class_Ring__and__Field_Oidom(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10912]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1675,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4636_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10908,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1675]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10909,plain,
% 2.40/2.66      ( 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)
% 2.40/2.66      | ~ class_Ring__and__Field_Oidom(X1) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10908]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1673,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4635_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10904,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1673]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1658,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4631_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10874,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1658]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10875,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.40/2.66      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10874]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1656,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4630_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10870,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1656]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1650,plain,
% 2.40/2.66      ( ~ c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4628_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10858,plain,
% 2.40/2.66      ( ~ c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1650]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10859,plain,
% 2.40/2.66      ( ~ c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.40/2.66      | c_lessequals(X1,X2,tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10858]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1644,plain,
% 2.40/2.66      ( ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4626_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10846,plain,
% 2.40/2.66      ( ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1644]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10847,plain,
% 2.40/2.66      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.40/2.66      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10846]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1559,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4601_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10676,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1559]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1557,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4600_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10672,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1557]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1555,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4599_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10668,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1555]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1553,plain,
% 2.40/2.66      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.66      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4598_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10664,plain,
% 2.40/2.66      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.66      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1553]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1551,plain,
% 2.40/2.66      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.66      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4597_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10660,plain,
% 2.40/2.66      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.66      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1551]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1549,plain,
% 2.40/2.66      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.66      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4596_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10656,plain,
% 2.40/2.66      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.66      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1549]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1547,plain,
% 2.40/2.66      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.66      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4595_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10652,plain,
% 2.40/2.66      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.66      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1547]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1543,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4593_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10644,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1543]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1541,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4592_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10640,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1541]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1537,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4590_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10632,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1537]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1535,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4589_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10628,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1535]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1533,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4588_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10624,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1533]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1531,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4587_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10620,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1531]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1529,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4586_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10616,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1529]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1525,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4584_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10608,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1525]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1523,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4583_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10604,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1523]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1521,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4582_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10600,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1521]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1519,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__algebra(X0)
% 2.40/2.66      | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4581_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10596,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__algebra(X0)
% 2.40/2.66      | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1519]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1517,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__algebra(X0)
% 2.40/2.66      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4580_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10592,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__algebra(X0)
% 2.40/2.66      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1517]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1513,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.66      | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4578_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10584,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.66      | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1513]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1509,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.66      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4576_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10576,plain,
% 2.40/2.66      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.66      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1509]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1507,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4575_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10572,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1507]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1505,plain,
% 2.40/2.66      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.66      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4574_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10568,plain,
% 2.40/2.66      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.66      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1505]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1503,plain,
% 2.40/2.66      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.66      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4573_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10564,plain,
% 2.40/2.66      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.66      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1503]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1501,plain,
% 2.40/2.66      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.66      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4572_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10560,plain,
% 2.40/2.66      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.66      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1501]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1499,plain,
% 2.40/2.66      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.66      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4571_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10556,plain,
% 2.40/2.66      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.66      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1499]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1495,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4569_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10548,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1495]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1491,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4567_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10540,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1491]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1489,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4566_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10536,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1489]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1487,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4565_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10532,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1487]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1466,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | 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)
% 2.40/2.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4558_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10490,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | 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)
% 2.40/2.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1466]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1463,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | 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)
% 2.40/2.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4557_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10484,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | 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)
% 2.40/2.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1463]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1460,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4556_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10478,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1460]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1455,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4554_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10468,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1455]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1451,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.66      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4553_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10460,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.66      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1451]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1448,plain,
% 2.40/2.66      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.66      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.40/2.66      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4552_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10454,plain,
% 2.40/2.66      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.66      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 2.40/2.66      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1448]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10455,plain,
% 2.40/2.66      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.66      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0)
% 2.40/2.66      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10454]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1445,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4551_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10448,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1445]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1442,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4550_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10442,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1442]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1434,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4548_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10426,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1434]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10427,plain,
% 2.40/2.66      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.40/2.66      | ~ class_Divides_Osemiring__div(X3) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10426]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1436,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4548_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10430,plain,
% 2.40/2.66      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1436]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10431,plain,
% 2.40/2.66      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.40/2.66      | ~ class_Divides_Osemiring__div(X3) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10430]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1432,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4547_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10422,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1432]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10423,plain,
% 2.40/2.66      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.40/2.66      | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10422]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1420,plain,
% 2.40/2.66      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.66      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 2.40/2.66      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.66      | ~ c_lessequals(X2,X3,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4544_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10398,plain,
% 2.40/2.66      ( ~ class_Lattices_Oupper__semilattice(X0)
% 2.40/2.66      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 2.40/2.66      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.66      | ~ c_lessequals(X2,X3,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1420]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10399,plain,
% 2.40/2.66      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2)
% 2.40/2.66      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.66      | ~ c_lessequals(X1,X3,X2)
% 2.40/2.66      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10398]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1416,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4543_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10390,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1416]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10391,plain,
% 2.40/2.66      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.40/2.66      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10390]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1404,plain,
% 2.40/2.66      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.66      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | ~ c_lessequals(X1,X3,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4540_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10366,plain,
% 2.40/2.66      ( ~ class_Lattices_Olower__semilattice(X0)
% 2.40/2.66      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | ~ c_lessequals(X1,X3,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1404]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10367,plain,
% 2.40/2.66      ( c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 2.40/2.66      | ~ c_lessequals(X0,X1,X3)
% 2.40/2.66      | ~ c_lessequals(X0,X2,X3)
% 2.40/2.66      | ~ class_Lattices_Olower__semilattice(X3) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10366]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1400,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4539_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10358,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1400]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1398,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4538_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10354,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1398]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1394,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | 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)
% 2.40/2.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4537_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10346,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | 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)
% 2.40/2.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1394]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1390,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | 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)
% 2.40/2.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4536_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10338,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | 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)
% 2.40/2.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1390]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1372,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4531_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10302,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.66      | 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) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1372]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1333,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4522_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10224,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1333]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10225,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10224]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1330,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4521_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10218,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1330]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10219,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10218]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1327,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4520_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10212,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1327]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10213,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10212]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1324,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4519_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10206,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1324]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10207,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10206]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1321,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4518_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10200,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1321]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10201,plain,
% 2.40/2.66      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.40/2.66      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10200]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1318,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4517_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10194,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1318]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10195,plain,
% 2.40/2.66      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.40/2.66      | ~ class_Ring__and__Field_Oidom(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10194]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1315,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4516_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10188,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.40/2.66      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1315]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10189,plain,
% 2.40/2.66      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.40/2.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.40/2.66      | ~ class_Ring__and__Field_Oidom(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10188]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1312,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4515_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10182,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1312]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10183,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.40/2.66      | ~ c_lessequals(X1,X3,X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10182]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1309,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4514_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10176,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1309]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10177,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.40/2.66      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10176]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1306,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4513_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10170,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1306]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10171,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 2.40/2.66      | ~ c_lessequals(X1,X3,X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10170]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1303,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4512_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10164,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 2.40/2.66      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1303]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10165,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 2.40/2.66      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10164]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1289,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4508_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10136,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.40/2.66      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1289]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10137,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10136]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1283,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4507_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10124,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1283]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10125,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10124]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1277,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4505_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10112,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1277]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10113,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10112]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1273,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4504_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10104,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1273]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10105,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10104]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1269,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4503_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10096,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1269]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10097,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10096]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1265,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4502_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10088,plain,
% 2.40/2.66      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1265]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10089,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10088]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1239,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4496_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10036,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1239]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10037,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.66      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10036]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1235,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4495_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10028,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1235]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10029,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10028]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1227,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4493_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10012,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1227]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10013,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10012]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1223,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4492_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10004,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1223]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_10005,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_10004]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1219,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4491_0) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9996,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1219]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9997,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_9996]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1217,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4490_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9992,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1217]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9993,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_9992]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1213,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4489_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9984,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1213]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9985,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_9984]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1209,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4488_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9976,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1209]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9977,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_9976]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1205,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4487_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9968,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.66      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1205]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9969,plain,
% 2.40/2.66      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_9968]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1193,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4484_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9944,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1193]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9945,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_9944]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1189,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4483_2) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9936,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.66      inference(copy,[status(esa)],[c_1189]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_9937,plain,
% 2.40/2.66      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.66      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.40/2.66      inference(rewriting,[status(thm)],[c_9936]) ).
% 2.40/2.66  
% 2.40/2.66  cnf(c_1185,plain,
% 2.40/2.66      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.66      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4482_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9928,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1185]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9929,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9928]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1177,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4480_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9912,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1177]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9913,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9912]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1173,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4479_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9904,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1173]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9905,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9904]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1163,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4477_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9884,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1163]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9885,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9884]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1159,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4476_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9876,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1159]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9877,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9876]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1155,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4475_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9868,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1155]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9869,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9868]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1151,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4474_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9860,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1151]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9861,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9860]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1141,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4472_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9840,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1141]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9841,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9840]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1138,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4471_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9834,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1138]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9835,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9834]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1133,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4470_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9824,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1133]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9825,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9824]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1126,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4469_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9810,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1126]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9811,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9810]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1118,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4467_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9794,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1118]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9795,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9794]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1113,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4466_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9784,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1113]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9785,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9784]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1107,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal)
% 2.40/2.67      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4465_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9772,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal)
% 2.40/2.67      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1107]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9773,plain,
% 2.40/2.67      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_lessequals(X2,c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.67      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9772]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_1105,plain,
% 2.40/2.67      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4464_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9768,plain,
% 2.40/2.67      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_1105]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_986,plain,
% 2.40/2.67      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4439_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9530,plain,
% 2.40/2.67      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_986]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_963,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4434_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9484,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 2.40/2.67      inference(copy,[status(esa)],[c_963]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_926,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oring__1(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4424_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9410,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oring__1(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_926]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_923,plain,
% 2.40/2.67      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4423_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9404,plain,
% 2.40/2.67      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_923]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9405,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9404]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_920,plain,
% 2.40/2.67      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4422_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9398,plain,
% 2.40/2.67      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_920]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9399,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9398]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_912,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4419_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9382,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_912]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_910,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4418_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9378,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_910]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_908,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4417_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9374,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_908]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_906,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4416_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9370,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_906]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_904,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4415_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9366,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_904]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_902,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4414_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9362,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_902]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_900,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4413_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9358,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_900]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_898,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4412_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9354,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_898]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_894,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4410_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9346,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_894]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_890,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4408_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9338,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_890]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_888,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4407_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9334,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_888]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_886,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4406_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9330,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_886]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_884,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4405_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9326,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_884]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_882,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4404_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9322,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_882]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_880,plain,
% 2.40/2.67      ( ~ class_Lattices_Odistrib__lattice(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4403_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9318,plain,
% 2.40/2.67      ( ~ class_Lattices_Odistrib__lattice(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_880]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_878,plain,
% 2.40/2.67      ( ~ class_Lattices_Odistrib__lattice(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4402_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9314,plain,
% 2.40/2.67      ( ~ class_Lattices_Odistrib__lattice(X0)
% 2.40/2.67      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_878]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_876,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4401_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9310,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_876]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_874,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4400_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9306,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_874]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_872,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4399_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9302,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_872]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_870,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4398_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9298,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_870]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_868,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4397_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9294,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_868]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_866,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4396_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9290,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_866]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_864,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4395_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9286,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_864]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_862,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4394_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9282,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__vector(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_862]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_858,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4392_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9274,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_858]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_856,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4391_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9270,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_856]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_852,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4389_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9262,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_852]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_848,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4387_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9254,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_848]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_846,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4386_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9250,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_846]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_844,plain,
% 2.40/2.67      ( ~ class_Lattices_Odistrib__lattice(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4385_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9246,plain,
% 2.40/2.67      ( ~ class_Lattices_Odistrib__lattice(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_844]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_842,plain,
% 2.40/2.67      ( ~ class_Lattices_Odistrib__lattice(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4384_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9242,plain,
% 2.40/2.67      ( ~ class_Lattices_Odistrib__lattice(X0)
% 2.40/2.67      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_842]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_840,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4383_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9238,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_840]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_838,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4382_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9234,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_838]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_835,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4381_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9228,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_835]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_832,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4380_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9222,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_832]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_829,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | 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)
% 2.40/2.67      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4379_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9216,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | 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)
% 2.40/2.67      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_829]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_826,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4378_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9210,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_826]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_824,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4377_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9206,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_824]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9207,plain,
% 2.40/2.67      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9206]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_812,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4374_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9182,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_812]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9183,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 2.40/2.67      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9182]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_808,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 2.40/2.67      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.67      | ~ c_lessequals(X2,X4,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4373_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9174,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 2.40/2.67      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.67      | ~ c_lessequals(X2,X4,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_808]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9175,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 2.40/2.67      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.67      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.67      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9174]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_779,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.67      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4368_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9116,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.67      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_779]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9117,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9116]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_774,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.67      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4367_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9106,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.67      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.67      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_774]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9107,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.67      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9106]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_752,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4362_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9062,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_752]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9063,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9062]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_748,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4361_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9054,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_748]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9055,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9054]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_736,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4358_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9030,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_736]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9031,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9030]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_732,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4357_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9022,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_732]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_9023,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_9022]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_656,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4337_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8870,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_656]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8871,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8870]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_646,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),X0) = X1 ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4334_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8850,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),X0) = X1 ),
% 2.40/2.67      inference(copy,[status(esa)],[c_646]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_644,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0) = X2 ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4333_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8846,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0) = X2 ),
% 2.40/2.67      inference(copy,[status(esa)],[c_644]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_640,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0) = X1 ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4331_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8838,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0) = X1 ),
% 2.40/2.67      inference(copy,[status(esa)],[c_640]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_638,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4330_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8834,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_638]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8835,plain,
% 2.40/2.67      ( 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)
% 2.40/2.67      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8834]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_635,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.67      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.67      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4329_1) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8828,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.40/2.67      | ~ c_lessequals(X1,X2,X0)
% 2.40/2.67      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 2.40/2.67      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_635]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8829,plain,
% 2.40/2.67      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 2.40/2.67      | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 2.40/2.67      | ~ c_lessequals(X4,X2,X3)
% 2.40/2.67      | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8828]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_632,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4328_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8822,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_632]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8823,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 2.40/2.67      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8822]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_630,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4327_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8818,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_630]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8819,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 2.40/2.67      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8818]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_628,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4326_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8814,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_628]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8815,plain,
% 2.40/2.67      ( 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)
% 2.40/2.67      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8814]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_626,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4325_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8810,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_626]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8811,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 2.40/2.67      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8810]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_614,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4322_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8786,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_614]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8787,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8786]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_597,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4318_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8752,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_597]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8753,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.40/2.67      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8752]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_592,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.40/2.67      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4317_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8742,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.40/2.67      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_592]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8743,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 2.40/2.67      | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8742]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_560,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4310_3) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8678,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_560]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8679,plain,
% 2.40/2.67      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.40/2.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.40/2.67      | ~ class_Divides_Osemiring__div(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8678]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_545,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4306_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8648,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_545]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_543,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4305_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8644,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 2.40/2.67      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_543]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_537,plain,
% 2.40/2.67      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4302_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8632,plain,
% 2.40/2.67      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_537]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_535,plain,
% 2.40/2.67      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4301_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8628,plain,
% 2.40/2.67      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_535]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_533,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4300_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8624,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_533]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_531,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4299_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8620,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_531]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_529,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4298_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8616,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_529]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_527,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4297_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8612,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_527]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_525,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4296_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8608,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_525]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_506,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4291_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8570,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_506]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_503,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 2.40/2.67      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4290_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8564,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 2.40/2.67      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_503]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_494,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4287_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8546,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_494]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_483,plain,
% 2.40/2.67      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.67      | c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4284_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8524,plain,
% 2.40/2.67      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.67      | c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_483]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_480,plain,
% 2.40/2.67      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.67      | c_lessequals(X0,X2,tc_RealDef_Oreal) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4283_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8518,plain,
% 2.40/2.67      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.40/2.67      | c_lessequals(X0,X2,tc_RealDef_Oreal) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_480]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8519,plain,
% 2.40/2.67      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | c_lessequals(X0,X2,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8518]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_477,plain,
% 2.40/2.67      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.67      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4282_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8512,plain,
% 2.40/2.67      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.40/2.67      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_477]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8513,plain,
% 2.40/2.67      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | c_lessequals(X1,X2,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8512]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_473,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 2.40/2.67      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4281_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8504,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 2.40/2.67      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_473]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_469,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 2.40/2.67      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4280_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8496,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 2.40/2.67      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_469]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_466,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4279_1) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8490,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_466]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_465,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4279_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8488,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_465]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_462,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4278_1) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8482,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_462]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_461,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4278_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8480,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_461]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_458,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4277_1) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8474,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_458]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_457,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4277_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8472,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.67      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.67      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_457]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_362,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4257_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8282,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_362]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8283,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8282]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_312,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4248_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8182,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_312]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8183,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8182]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_296,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4243_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8150,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_296]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8151,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X0,X2),X2),X1,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8150]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_294,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4242_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8146,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_294]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8147,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X3,X1)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_8146]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_236,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4232_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8030,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_236]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_234,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4231_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8026,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.40/2.67      | 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) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_234]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_232,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4230_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8022,plain,
% 2.40/2.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_232]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_223,plain,
% 2.40/2.67      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4228_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_8004,plain,
% 2.40/2.67      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_223]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_219,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4227_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7996,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_219]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_215,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4226_2) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7988,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_215]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_209,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4225_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7976,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_209]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7977,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_7976]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_207,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4224_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7972,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_207]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7973,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_7972]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_179,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4218_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7916,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_179]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7917,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_7916]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_176,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4217_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7910,plain,
% 2.40/2.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 2.40/2.67      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X2,X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_176]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7911,plain,
% 2.40/2.67      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X1,X2)
% 2.40/2.67      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 2.40/2.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_7910]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_174,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4216_0) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7906,plain,
% 2.40/2.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.67      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 2.40/2.67      inference(copy,[status(esa)],[c_174]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_7907,plain,
% 2.40/2.67      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 2.40/2.67      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.40/2.67      inference(rewriting,[status(thm)],[c_7906]) ).
% 2.40/2.67  
% 2.40/2.67  cnf(c_172,plain,
% 2.40/2.67      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.67      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.40/2.67      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4215_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7902,plain,
% 2.40/2.68      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.68      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_172]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_170,plain,
% 2.40/2.68      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.68      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4214_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7898,plain,
% 2.40/2.68      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.68      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_170]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_168,plain,
% 2.40/2.68      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.68      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4213_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7894,plain,
% 2.40/2.68      ( ~ class_Divides_Oring__div(X0)
% 2.40/2.68      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_168]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_104,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Osemiring(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4201_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7766,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Osemiring(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_104]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_101,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 2.40/2.68      | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4200_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7760,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 2.40/2.68      | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_101]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_98,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4199_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7754,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 2.40/2.68      inference(copy,[status(esa)],[c_98]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7755,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7754]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_96,plain,
% 2.40/2.68      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.68      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0),X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4198_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7750,plain,
% 2.40/2.68      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.68      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0),X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_96]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7751,plain,
% 2.40/2.68      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X2),c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2),X2)
% 2.40/2.68      | ~ class_Lattices_Olattice(X2) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7750]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_94,plain,
% 2.40/2.68      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.68      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0),X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4197_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7746,plain,
% 2.40/2.68      ( ~ class_Lattices_Olattice(X0)
% 2.40/2.68      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0),X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_94]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7747,plain,
% 2.40/2.68      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X3),c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X3),X3),X3)
% 2.40/2.68      | ~ class_Lattices_Olattice(X3) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7746]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_84,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4194_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7726,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_84]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7727,plain,
% 2.40/2.68      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.40/2.68      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7726]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_75,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.68      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4191_1) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7708,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.68      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_75]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_74,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4191_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7706,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_74]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_71,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.68      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4190_1) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7700,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.68      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_71]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_70,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4190_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7698,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.40/2.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_70]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_67,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.68      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4189_1) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7692,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.68      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_67]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_66,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.68      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4189_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7690,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.40/2.68      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_66]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_64,plain,
% 2.40/2.68      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,X3,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4188_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7686,plain,
% 2.40/2.68      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,X3,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_64]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_62,plain,
% 2.40/2.68      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,X3,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4187_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7682,plain,
% 2.40/2.68      ( ~ class_Divides_Osemiring__div(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,X3,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_62]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_58,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4185_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7674,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oring(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_58]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_56,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4184_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7670,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_56]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7671,plain,
% 2.40/2.68      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
% 2.40/2.68      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7670]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_43,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.40/2.68      | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4181_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7644,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.40/2.68      | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_43]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_40,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.40/2.68      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4180_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7638,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.40/2.68      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_40]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7639,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7638]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_37,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.40/2.68      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4179_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7632,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.40/2.68      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_37]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7633,plain,
% 2.40/2.68      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 2.40/2.68      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 2.40/2.68      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7632]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_31,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 2.40/2.68      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4177_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7620,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 2.40/2.68      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_31]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7621,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7620]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_28,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 2.40/2.68      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4176_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7614,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 2.40/2.68      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_28]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_22,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 2.40/2.68      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4174_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7602,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.40/2.68      | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 2.40/2.68      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_22]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7603,plain,
% 2.40/2.68      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 2.40/2.68      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 2.40/2.68      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7602]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_19,plain,
% 2.40/2.68      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.68      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 2.40/2.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4173_1) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7596,plain,
% 2.40/2.68      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.68      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 2.40/2.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_19]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_18,plain,
% 2.40/2.68      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.68      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4173_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7594,plain,
% 2.40/2.68      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.40/2.68      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 2.40/2.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.40/2.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_18]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_16,plain,
% 2.40/2.68      ( ~ class_RealVector_Oreal__field(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4172_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7590,plain,
% 2.40/2.68      ( ~ class_RealVector_Oreal__field(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_16]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_14,plain,
% 2.40/2.68      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.68      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X0),X0),X0),X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4171_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7586,plain,
% 2.40/2.68      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.40/2.68      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X0),X0),X0),X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_14]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7587,plain,
% 2.40/2.68      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X2),X2),X2),X2)
% 2.40/2.68      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7586]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_12,plain,
% 2.40/2.68      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4170_0) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7582,plain,
% 2.40/2.68      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.40/2.68      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_12]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_10,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.68      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(X5,X6,X0),X0)
% 2.40/2.68      | ~ c_lessequals(X1,X5,X0)
% 2.40/2.68      | ~ c_lessequals(X5,X3,X0)
% 2.40/2.68      | ~ c_lessequals(X4,X6,X0)
% 2.40/2.68      | ~ c_lessequals(X6,X2,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4169_4) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7578,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.68      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(X5,X6,X0),X0)
% 2.40/2.68      | ~ c_lessequals(X1,X5,X0)
% 2.40/2.68      | ~ c_lessequals(X5,X3,X0)
% 2.40/2.68      | ~ c_lessequals(X4,X6,X0)
% 2.40/2.68      | ~ c_lessequals(X6,X2,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_10]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7579,plain,
% 2.40/2.68      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(X5,X6,X1),X1)
% 2.40/2.68      | ~ c_lessequals(X0,X5,X1)
% 2.40/2.68      | ~ c_lessequals(X5,X3,X1)
% 2.40/2.68      | ~ c_lessequals(X4,X6,X1)
% 2.40/2.68      | ~ c_lessequals(X6,X2,X1)
% 2.40/2.68      | ~ class_Ring__and__Field_Olordered__ring(X1) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7578]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_4,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.68      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 2.40/2.68      | ~ c_lessequals(X5,X1,X0)
% 2.40/2.68      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.68      | ~ c_lessequals(X6,X2,X0)
% 2.40/2.68      | ~ c_lessequals(X2,X4,X0) ),
% 2.40/2.68      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4168_4) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7566,plain,
% 2.40/2.68      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.40/2.68      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 2.40/2.68      | ~ c_lessequals(X5,X1,X0)
% 2.40/2.68      | ~ c_lessequals(X1,X3,X0)
% 2.40/2.68      | ~ c_lessequals(X6,X2,X0)
% 2.40/2.68      | ~ c_lessequals(X2,X4,X0) ),
% 2.40/2.68      inference(copy,[status(esa)],[c_4]) ).
% 2.40/2.68  
% 2.40/2.68  cnf(c_7567,plain,
% 2.40/2.68      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X2),X2),X2),X2)
% 2.40/2.68      | ~ c_lessequals(X5,X0,X2)
% 2.40/2.68      | ~ c_lessequals(X0,X3,X2)
% 2.40/2.68      | ~ c_lessequals(X6,X1,X2)
% 2.40/2.68      | ~ c_lessequals(X1,X4,X2)
% 2.40/2.68      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 2.40/2.68      inference(rewriting,[status(thm)],[c_7566]) ).
% 2.40/2.68  
% 2.40/2.68  
% 2.40/2.68  
% 2.40/2.68  % ------                             Statistics
% 2.40/2.68  
% 2.40/2.68  % ------ General
% 2.40/2.68  
% 2.40/2.68  % num_of_input_clauses:                 3400
% 2.40/2.68  % num_of_input_neg_conjectures:         1
% 2.40/2.68  % num_of_splits:                        0
% 2.40/2.68  % num_of_split_atoms:                   0
% 2.40/2.68  % num_of_sem_filtered_clauses:          0
% 2.40/2.68  % num_of_subtypes:                      0
% 2.40/2.68  % monotx_restored_types:                0
% 2.40/2.68  % sat_num_of_epr_types:                 0
% 2.40/2.68  % sat_num_of_non_cyclic_types:          0
% 2.40/2.68  % sat_guarded_non_collapsed_types:      0
% 2.40/2.68  % is_epr:                               0
% 2.40/2.68  % is_horn:                              0
% 2.40/2.68  % has_eq:                               1
% 2.40/2.68  % num_pure_diseq_elim:                  0
% 2.40/2.68  % simp_replaced_by:                     0
% 2.40/2.68  % res_preprocessed:                     2
% 2.40/2.68  % prep_upred:                           0
% 2.40/2.68  % prep_unflattend:                      0
% 2.40/2.68  % pred_elim_cands:                      0
% 2.40/2.68  % pred_elim:                            0
% 2.40/2.68  % pred_elim_cl:                         0
% 2.40/2.68  % pred_elim_cycles:                     0
% 2.40/2.68  % forced_gc_time:                       0
% 2.40/2.68  % gc_basic_clause_elim:                 0
% 2.40/2.68  % parsing_time:                         0.169
% 2.40/2.68  % sem_filter_time:                      0.
% 2.40/2.68  % pred_elim_time:                       0.
% 2.40/2.68  % out_proof_time:                       0.
% 2.40/2.68  % monotx_time:                          0.
% 2.40/2.68  % subtype_inf_time:                     0.
% 2.40/2.68  % unif_index_cands_time:                0.
% 2.40/2.68  % unif_index_add_time:                  0.001
% 2.40/2.68  % total_time:                           2.062
% 2.40/2.68  % num_of_symbols:                       144
% 2.40/2.68  % num_of_terms:                         7103
% 2.40/2.68  
% 2.40/2.68  % ------ Propositional Solver
% 2.40/2.68  
% 2.40/2.68  % prop_solver_calls:                    1
% 2.40/2.68  % prop_fast_solver_calls:               3
% 2.40/2.68  % prop_num_of_clauses:                  2927
% 2.40/2.68  % prop_preprocess_simplified:           10401
% 2.40/2.68  % prop_fo_subsumed:                     0
% 2.40/2.68  % prop_solver_time:                     0.
% 2.40/2.68  % prop_fast_solver_time:                0.
% 2.40/2.68  % prop_unsat_core_time:                 0.
% 2.40/2.68  
% 2.40/2.68  % ------ QBF 
% 2.40/2.68  
% 2.40/2.68  % qbf_q_res:                            0
% 2.40/2.68  % qbf_num_tautologies:                  0
% 2.40/2.68  % qbf_prep_cycles:                      0
% 2.40/2.68  
% 2.40/2.68  % ------ BMC1
% 2.40/2.68  
% 2.40/2.68  % bmc1_current_bound:                   -1
% 2.40/2.68  % bmc1_last_solved_bound:               -1
% 2.40/2.68  % bmc1_unsat_core_size:                 -1
% 2.40/2.68  % bmc1_unsat_core_parents_size:         -1
% 2.40/2.68  % bmc1_merge_next_fun:                  0
% 2.40/2.68  % bmc1_unsat_core_clauses_time:         0.
% 2.40/2.68  
% 2.40/2.68  % ------ Instantiation
% 2.40/2.68  
% 2.40/2.68  % inst_num_of_clauses:                  3180
% 2.40/2.68  % inst_num_in_passive:                  0
% 2.40/2.68  % inst_num_in_active:                   0
% 2.40/2.68  % inst_num_in_unprocessed:              3400
% 2.40/2.68  % inst_num_of_loops:                    0
% 2.40/2.68  % inst_num_of_learning_restarts:        0
% 2.40/2.68  % inst_num_moves_active_passive:        0
% 2.40/2.68  % inst_lit_activity:                    0
% 2.40/2.68  % inst_lit_activity_moves:              0
% 2.40/2.68  % inst_num_tautologies:                 0
% 2.40/2.68  % inst_num_prop_implied:                0
% 2.40/2.68  % inst_num_existing_simplified:         0
% 2.40/2.68  % inst_num_eq_res_simplified:           0
% 2.40/2.68  % inst_num_child_elim:                  0
% 2.40/2.68  % inst_num_of_dismatching_blockings:    0
% 2.40/2.68  % inst_num_of_non_proper_insts:         0
% 2.40/2.68  % inst_num_of_duplicates:               0
% 2.40/2.68  % inst_inst_num_from_inst_to_res:       0
% 2.40/2.68  % inst_dismatching_checking_time:       0.
% 2.40/2.68  
% 2.40/2.68  % ------ Resolution
% 2.40/2.68  
% 2.40/2.68  % res_num_of_clauses:                   3606
% 2.40/2.68  % res_num_in_passive:                   0
% 2.40/2.68  % res_num_in_active:                    1208
% 2.40/2.68  % res_num_of_loops:                     2
% 2.40/2.68  % res_forward_subset_subsumed:          2161
% 2.40/2.68  % res_backward_subset_subsumed:         2
% 2.40/2.68  % res_forward_subsumed:                 0
% 2.40/2.68  % res_backward_subsumed:                0
% 2.40/2.68  % res_forward_subsumption_resolution:   0
% 2.40/2.68  % res_backward_subsumption_resolution:  0
% 2.40/2.68  % res_clause_to_clause_subsumption:     0
% 2.40/2.68  % res_orphan_elimination:               0
% 2.40/2.68  % res_tautology_del:                    0
% 2.40/2.68  % res_num_eq_res_simplified:            0
% 2.40/2.68  % res_num_sel_changes:                  0
% 2.40/2.68  % res_moves_from_active_to_pass:        0
% 2.40/2.68  
% 2.40/2.68  % Status Unknown
% 2.77/2.94  % Orienting using strategy ClausalAll
% 2.77/2.94  % Orientation found
% 2.77/2.94  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_28e33e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_09d735.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_a0bbb9 | grep -v "SZS"
% 2.77/2.96  
% 2.77/2.96  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 2.77/2.96  
% 2.77/2.96  % 
% 2.77/2.96  % ------  iProver source info 
% 2.77/2.96  
% 2.77/2.96  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 2.77/2.96  % git: non_committed_changes: true
% 2.77/2.96  % git: last_make_outside_of_git: true
% 2.77/2.96  
% 2.77/2.96  % 
% 2.77/2.96  % ------ Input Options
% 2.77/2.96  
% 2.77/2.96  % --out_options                         all
% 2.77/2.96  % --tptp_safe_out                       true
% 2.77/2.96  % --problem_path                        ""
% 2.77/2.96  % --include_path                        ""
% 2.77/2.96  % --clausifier                          .//eprover
% 2.77/2.96  % --clausifier_options                  --tstp-format  
% 2.77/2.96  % --stdin                               false
% 2.77/2.96  % --dbg_backtrace                       false
% 2.77/2.96  % --dbg_dump_prop_clauses               false
% 2.77/2.96  % --dbg_dump_prop_clauses_file          -
% 2.77/2.96  % --dbg_out_stat                        false
% 2.77/2.96  
% 2.77/2.96  % ------ General Options
% 2.77/2.96  
% 2.77/2.96  % --fof                                 false
% 2.77/2.96  % --time_out_real                       150.
% 2.77/2.96  % --time_out_prep_mult                  0.2
% 2.77/2.96  % --time_out_virtual                    -1.
% 2.77/2.96  % --schedule                            none
% 2.77/2.96  % --ground_splitting                    input
% 2.77/2.96  % --splitting_nvd                       16
% 2.77/2.96  % --non_eq_to_eq                        false
% 2.77/2.96  % --prep_gs_sim                         true
% 2.77/2.96  % --prep_unflatten                      false
% 2.77/2.96  % --prep_res_sim                        true
% 2.77/2.96  % --prep_upred                          true
% 2.77/2.96  % --res_sim_input                       true
% 2.77/2.96  % --clause_weak_htbl                    true
% 2.77/2.96  % --gc_record_bc_elim                   false
% 2.77/2.96  % --symbol_type_check                   false
% 2.77/2.96  % --clausify_out                        false
% 2.77/2.96  % --large_theory_mode                   false
% 2.77/2.96  % --prep_sem_filter                     none
% 2.77/2.96  % --prep_sem_filter_out                 false
% 2.77/2.96  % --preprocessed_out                    false
% 2.77/2.96  % --sub_typing                          false
% 2.77/2.96  % --brand_transform                     false
% 2.77/2.96  % --pure_diseq_elim                     true
% 2.77/2.96  % --min_unsat_core                      false
% 2.77/2.96  % --pred_elim                           true
% 2.77/2.96  % --add_important_lit                   false
% 2.77/2.96  % --soft_assumptions                    false
% 2.77/2.96  % --reset_solvers                       false
% 2.77/2.96  % --bc_imp_inh                          []
% 2.77/2.96  % --conj_cone_tolerance                 1.5
% 2.77/2.96  % --prolific_symb_bound                 500
% 2.77/2.96  % --lt_threshold                        2000
% 2.77/2.96  
% 2.77/2.96  % ------ SAT Options
% 2.77/2.96  
% 2.77/2.96  % --sat_mode                            false
% 2.77/2.96  % --sat_fm_restart_options              ""
% 2.77/2.96  % --sat_gr_def                          false
% 2.77/2.96  % --sat_epr_types                       true
% 2.77/2.96  % --sat_non_cyclic_types                false
% 2.77/2.96  % --sat_finite_models                   false
% 2.77/2.96  % --sat_fm_lemmas                       false
% 2.77/2.96  % --sat_fm_prep                         false
% 2.77/2.96  % --sat_fm_uc_incr                      true
% 2.77/2.96  % --sat_out_model                       small
% 2.77/2.96  % --sat_out_clauses                     false
% 2.77/2.96  
% 2.77/2.96  % ------ QBF Options
% 2.77/2.96  
% 2.77/2.96  % --qbf_mode                            false
% 2.77/2.96  % --qbf_elim_univ                       true
% 2.77/2.96  % --qbf_sk_in                           true
% 2.77/2.96  % --qbf_pred_elim                       true
% 2.77/2.96  % --qbf_split                           32
% 2.77/2.96  
% 2.77/2.96  % ------ BMC1 Options
% 2.77/2.96  
% 2.77/2.96  % --bmc1_incremental                    false
% 2.77/2.96  % --bmc1_axioms                         reachable_all
% 2.77/2.96  % --bmc1_min_bound                      0
% 2.77/2.96  % --bmc1_max_bound                      -1
% 2.77/2.96  % --bmc1_max_bound_default              -1
% 2.77/2.96  % --bmc1_symbol_reachability            true
% 2.77/2.96  % --bmc1_property_lemmas                false
% 2.77/2.96  % --bmc1_k_induction                    false
% 2.77/2.96  % --bmc1_non_equiv_states               false
% 2.77/2.96  % --bmc1_deadlock                       false
% 2.77/2.96  % --bmc1_ucm                            false
% 2.77/2.96  % --bmc1_add_unsat_core                 none
% 2.77/2.96  % --bmc1_unsat_core_children            false
% 2.77/2.96  % --bmc1_unsat_core_extrapolate_axioms  false
% 2.77/2.96  % --bmc1_out_stat                       full
% 2.77/2.96  % --bmc1_ground_init                    false
% 2.77/2.96  % --bmc1_pre_inst_next_state            false
% 2.77/2.96  % --bmc1_pre_inst_state                 false
% 2.77/2.96  % --bmc1_pre_inst_reach_state           false
% 2.77/2.96  % --bmc1_out_unsat_core                 false
% 2.77/2.96  % --bmc1_aig_witness_out                false
% 2.77/2.96  % --bmc1_verbose                        false
% 2.77/2.96  % --bmc1_dump_clauses_tptp              false
% 3.62/3.79  % --bmc1_dump_unsat_core_tptp           false
% 3.62/3.79  % --bmc1_dump_file                      -
% 3.62/3.79  % --bmc1_ucm_expand_uc_limit            128
% 3.62/3.79  % --bmc1_ucm_n_expand_iterations        6
% 3.62/3.79  % --bmc1_ucm_extend_mode                1
% 3.62/3.79  % --bmc1_ucm_init_mode                  2
% 3.62/3.79  % --bmc1_ucm_cone_mode                  none
% 3.62/3.79  % --bmc1_ucm_reduced_relation_type      0
% 3.62/3.79  % --bmc1_ucm_relax_model                4
% 3.62/3.79  % --bmc1_ucm_full_tr_after_sat          true
% 3.62/3.79  % --bmc1_ucm_expand_neg_assumptions     false
% 3.62/3.79  % --bmc1_ucm_layered_model              none
% 3.62/3.79  % --bmc1_ucm_max_lemma_size             10
% 3.62/3.79  
% 3.62/3.79  % ------ AIG Options
% 3.62/3.79  
% 3.62/3.79  % --aig_mode                            false
% 3.62/3.79  
% 3.62/3.79  % ------ Instantiation Options
% 3.62/3.79  
% 3.62/3.79  % --instantiation_flag                  true
% 3.62/3.79  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 3.62/3.79  % --inst_solver_per_active              750
% 3.62/3.79  % --inst_solver_calls_frac              0.5
% 3.62/3.79  % --inst_passive_queue_type             priority_queues
% 3.62/3.79  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.62/3.79  % --inst_passive_queues_freq            [25;2]
% 3.62/3.79  % --inst_dismatching                    true
% 3.62/3.79  % --inst_eager_unprocessed_to_passive   true
% 3.62/3.79  % --inst_prop_sim_given                 true
% 3.62/3.79  % --inst_prop_sim_new                   false
% 3.62/3.79  % --inst_orphan_elimination             true
% 3.62/3.79  % --inst_learning_loop_flag             true
% 3.62/3.79  % --inst_learning_start                 3000
% 3.62/3.79  % --inst_learning_factor                2
% 3.62/3.79  % --inst_start_prop_sim_after_learn     3
% 3.62/3.79  % --inst_sel_renew                      solver
% 3.62/3.79  % --inst_lit_activity_flag              true
% 3.62/3.79  % --inst_out_proof                      true
% 3.62/3.79  
% 3.62/3.79  % ------ Resolution Options
% 3.62/3.79  
% 3.62/3.79  % --resolution_flag                     true
% 3.62/3.79  % --res_lit_sel                         kbo_max
% 3.62/3.79  % --res_to_prop_solver                  none
% 3.62/3.79  % --res_prop_simpl_new                  false
% 3.62/3.79  % --res_prop_simpl_given                false
% 3.62/3.79  % --res_passive_queue_type              priority_queues
% 3.62/3.79  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.62/3.79  % --res_passive_queues_freq             [15;5]
% 3.62/3.79  % --res_forward_subs                    full
% 3.62/3.79  % --res_backward_subs                   full
% 3.62/3.79  % --res_forward_subs_resolution         true
% 3.62/3.79  % --res_backward_subs_resolution        true
% 3.62/3.79  % --res_orphan_elimination              false
% 3.62/3.79  % --res_time_limit                      1000.
% 3.62/3.79  % --res_out_proof                       true
% 3.62/3.79  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_28e33e.s
% 3.62/3.79  % --modulo                              true
% 3.62/3.79  
% 3.62/3.79  % ------ Combination Options
% 3.62/3.79  
% 3.62/3.79  % --comb_res_mult                       1000
% 3.62/3.79  % --comb_inst_mult                      300
% 3.62/3.79  % ------ 
% 3.62/3.79  
% 3.62/3.79  % ------ Parsing...% successful
% 3.62/3.79  
% 3.62/3.79  % ------ 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 % 
% 3.62/3.79  
% 3.62/3.79  % ------ Proving...
% 3.62/3.79  % ------ Problem Properties 
% 3.62/3.79  
% 3.62/3.79  % 
% 3.62/3.79  % EPR                                   false
% 3.62/3.79  % Horn                                  false
% 3.62/3.79  % Has equality                          true
% 3.62/3.79  
% 3.62/3.79  % % ------ Input Options Time Limit: Unbounded
% 3.62/3.79  
% 3.62/3.79  
% 3.62/3.79  Compiling...
% 3.62/3.79  Loading plugin: done.
% 3.62/3.79  Compiling...
% 3.62/3.79  Loading plugin: done.
% 3.62/3.79  Compiling...
% 3.62/3.79  Loading plugin: done.
% 3.62/3.79  Compiling...
% 3.62/3.79  Loading plugin: done.
% 3.62/3.79  % % ------ Current options:
% 3.62/3.79  
% 3.62/3.79  % ------ Input Options
% 3.62/3.79  
% 3.62/3.79  % --out_options                         all
% 3.62/3.79  % --tptp_safe_out                       true
% 3.62/3.79  % --problem_path                        ""
% 3.62/3.79  % --include_path                        ""
% 3.62/3.79  % --clausifier                          .//eprover
% 3.62/3.79  % --clausifier_options                  --tstp-format  
% 3.62/3.79  % --stdin                               false
% 3.62/3.79  % --dbg_backtrace                       false
% 3.62/3.79  % --dbg_dump_prop_clauses               false
% 3.62/3.79  % --dbg_dump_prop_clauses_file          -
% 3.62/3.79  % --dbg_out_stat                        false
% 3.62/3.79  
% 3.62/3.79  % ------ General Options
% 3.62/3.79  
% 3.62/3.79  % --fof                                 false
% 3.62/3.79  % --time_out_real                       150.
% 3.62/3.79  % --time_out_prep_mult                  0.2
% 3.62/3.79  % --time_out_virtual                    -1.
% 3.62/3.79  % --schedule                            none
% 3.62/3.79  % --ground_splitting                    input
% 3.62/3.79  % --splitting_nvd                       16
% 3.62/3.79  % --non_eq_to_eq                        false
% 3.62/3.79  % --prep_gs_sim                         true
% 3.62/3.79  % --prep_unflatten                      false
% 3.62/3.79  % --prep_res_sim                        true
% 3.62/3.79  % --prep_upred                          true
% 3.62/3.79  % --res_sim_input                       true
% 3.62/3.79  % --clause_weak_htbl                    true
% 3.62/3.79  % --gc_record_bc_elim                   false
% 3.62/3.79  % --symbol_type_check                   false
% 3.62/3.79  % --clausify_out                        false
% 3.62/3.79  % --large_theory_mode                   false
% 3.62/3.79  % --prep_sem_filter                     none
% 3.62/3.79  % --prep_sem_filter_out                 false
% 3.62/3.79  % --preprocessed_out                    false
% 3.62/3.79  % --sub_typing                          false
% 3.62/3.79  % --brand_transform                     false
% 3.62/3.79  % --pure_diseq_elim                     true
% 3.62/3.79  % --min_unsat_core                      false
% 3.62/3.79  % --pred_elim                           true
% 3.62/3.79  % --add_important_lit                   false
% 3.62/3.79  % --soft_assumptions                    false
% 3.62/3.79  % --reset_solvers                       false
% 3.62/3.79  % --bc_imp_inh                          []
% 3.62/3.79  % --conj_cone_tolerance                 1.5
% 3.62/3.79  % --prolific_symb_bound                 500
% 3.62/3.79  % --lt_threshold                        2000
% 3.62/3.79  
% 3.62/3.79  % ------ SAT Options
% 3.62/3.79  
% 3.62/3.79  % --sat_mode                            false
% 3.62/3.79  % --sat_fm_restart_options              ""
% 3.62/3.79  % --sat_gr_def                          false
% 3.62/3.79  % --sat_epr_types                       true
% 3.62/3.79  % --sat_non_cyclic_types                false
% 3.62/3.79  % --sat_finite_models                   false
% 3.62/3.79  % --sat_fm_lemmas                       false
% 3.62/3.79  % --sat_fm_prep                         false
% 3.62/3.79  % --sat_fm_uc_incr                      true
% 3.62/3.79  % --sat_out_model                       small
% 3.62/3.79  % --sat_out_clauses                     false
% 3.62/3.79  
% 3.62/3.79  % ------ QBF Options
% 3.62/3.79  
% 3.62/3.79  % --qbf_mode                            false
% 3.62/3.79  % --qbf_elim_univ                       true
% 3.62/3.79  % --qbf_sk_in                           true
% 3.62/3.79  % --qbf_pred_elim                       true
% 3.62/3.79  % --qbf_split                           32
% 3.62/3.79  
% 3.62/3.79  % ------ BMC1 Options
% 3.62/3.79  
% 3.62/3.79  % --bmc1_incremental                    false
% 3.62/3.79  % --bmc1_axioms                         reachable_all
% 3.62/3.80  % --bmc1_min_bound                      0
% 3.62/3.80  % --bmc1_max_bound                      -1
% 3.62/3.80  % --bmc1_max_bound_default              -1
% 3.62/3.80  % --bmc1_symbol_reachability            true
% 3.62/3.80  % --bmc1_property_lemmas                false
% 3.62/3.80  % --bmc1_k_induction                    false
% 3.62/3.80  % --bmc1_non_equiv_states               false
% 3.62/3.80  % --bmc1_deadlock                       false
% 3.62/3.80  % --bmc1_ucm                            false
% 3.62/3.80  % --bmc1_add_unsat_core                 none
% 3.62/3.80  % --bmc1_unsat_core_children            false
% 3.62/3.80  % --bmc1_unsat_core_extrapolate_axioms  false
% 3.62/3.80  % --bmc1_out_stat                       full
% 3.62/3.80  % --bmc1_ground_init                    false
% 3.62/3.80  % --bmc1_pre_inst_next_state            false
% 3.62/3.80  % --bmc1_pre_inst_state                 false
% 3.62/3.80  % --bmc1_pre_inst_reach_state           false
% 3.62/3.80  % --bmc1_out_unsat_core                 false
% 3.62/3.80  % --bmc1_aig_witness_out                false
% 3.62/3.80  % --bmc1_verbose                        false
% 3.62/3.80  % --bmc1_dump_clauses_tptp              false
% 3.62/3.80  % --bmc1_dump_unsat_core_tptp           false
% 3.62/3.80  % --bmc1_dump_file                      -
% 3.62/3.80  % --bmc1_ucm_expand_uc_limit            128
% 3.62/3.80  % --bmc1_ucm_n_expand_iterations        6
% 3.62/3.80  % --bmc1_ucm_extend_mode                1
% 3.62/3.80  % --bmc1_ucm_init_mode                  2
% 3.62/3.80  % --bmc1_ucm_cone_mode                  none
% 3.62/3.80  % --bmc1_ucm_reduced_relation_type      0
% 3.62/3.80  % --bmc1_ucm_relax_model                4
% 3.62/3.80  % --bmc1_ucm_full_tr_after_sat          true
% 3.62/3.80  % --bmc1_ucm_expand_neg_assumptions     false
% 3.62/3.80  % --bmc1_ucm_layered_model              none
% 3.62/3.80  % --bmc1_ucm_max_lemma_size             10
% 3.62/3.80  
% 3.62/3.80  % ------ AIG Options
% 3.62/3.80  
% 3.62/3.80  % --aig_mode                            false
% 3.62/3.80  
% 3.62/3.80  % ------ Instantiation Options
% 3.62/3.80  
% 3.62/3.80  % --instantiation_flag                  true
% 3.62/3.80  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 3.62/3.80  % --inst_solver_per_active              750
% 3.62/3.80  % --inst_solver_calls_frac              0.5
% 3.62/3.80  % --inst_passive_queue_type             priority_queues
% 3.62/3.80  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.62/3.80  % --inst_passive_queues_freq            [25;2]
% 3.62/3.80  % --inst_dismatching                    true
% 3.62/3.80  % --inst_eager_unprocessed_to_passive   true
% 3.62/3.80  % --inst_prop_sim_given                 true
% 3.62/3.80  % --inst_prop_sim_new                   false
% 3.62/3.80  % --inst_orphan_elimination             true
% 3.62/3.80  % --inst_learning_loop_flag             true
% 3.62/3.80  % --inst_learning_start                 3000
% 3.62/3.80  % --inst_learning_factor                2
% 3.62/3.80  % --inst_start_prop_sim_after_learn     3
% 3.62/3.80  % --inst_sel_renew                      solver
% 3.62/3.80  % --inst_lit_activity_flag              true
% 3.62/3.80  % --inst_out_proof                      true
% 3.62/3.80  
% 3.62/3.80  % ------ Resolution Options
% 3.62/3.80  
% 3.62/3.80  % --resolution_flag                     true
% 3.62/3.80  % --res_lit_sel                         kbo_max
% 3.62/3.80  % --res_to_prop_solver                  none
% 3.62/3.80  % --res_prop_simpl_new                  false
% 3.62/3.80  % --res_prop_simpl_given                false
% 3.62/3.80  % --res_passive_queue_type              priority_queues
% 3.62/3.80  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.62/3.80  % --res_passive_queues_freq             [15;5]
% 3.62/3.80  % --res_forward_subs                    full
% 3.62/3.80  % --res_backward_subs                   full
% 3.62/3.80  % --res_forward_subs_resolution         true
% 3.62/3.80  % --res_backward_subs_resolution        true
% 3.62/3.80  % --res_orphan_elimination              false
% 3.62/3.80  % --res_time_limit                      1000.
% 3.62/3.80  % --res_out_proof                       true
% 3.62/3.80  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_28e33e.s
% 3.62/3.80  % --modulo                              true
% 3.62/3.80  
% 3.62/3.80  % ------ Combination Options
% 3.62/3.80  
% 3.62/3.80  % --comb_res_mult                       1000
% 3.62/3.80  % --comb_inst_mult                      300
% 3.62/3.80  % ------ 
% 3.62/3.80  
% 3.62/3.80  
% 3.62/3.80  
% 3.62/3.80  % ------ Proving...
% 3.62/3.80  % warning:  shown sat in sat incomplete mode 
% 3.62/3.80  % 
% 3.62/3.80  
% 3.62/3.80  
% 3.62/3.80  
% 3.62/3.80  
% 3.62/3.80  cnf(c_3397,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X3,X1,X0)
% 3.62/3.80      | ~ c_lessequals(X4,X5,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0)
% 3.62/3.80      | ~ c_lessequals(X6,X4,X0) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4816_1) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14424,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X3,X1,X0)
% 3.62/3.80      | ~ c_lessequals(X4,X5,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0)
% 3.62/3.80      | ~ c_lessequals(X6,X4,X0) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3397]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14425,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(X5,X6,X0),X0)
% 3.62/3.80      | ~ c_lessequals(X6,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X4,X6,X0)
% 3.62/3.80      | ~ c_lessequals(X5,X3,X0)
% 3.62/3.80      | ~ c_lessequals(X1,X5,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14424]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3396,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X3,X1,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 3.62/3.80      | ~ c_lessequals(X4,X6,X0)
% 3.62/3.80      | ~ c_lessequals(X6,X5,X0) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4816_2) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14422,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X3,X1,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 3.62/3.80      | ~ c_lessequals(X4,X6,X0)
% 3.62/3.80      | ~ c_lessequals(X6,X5,X0) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3396]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14423,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(X5,X6,X0),X0)
% 3.62/3.80      | ~ c_lessequals(X6,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X4,X6,X0)
% 3.62/3.80      | ~ c_lessequals(X1,X5,X0)
% 3.62/3.80      | ~ c_lessequals(X5,X3,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14422]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3395,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 3.62/3.80      | ~ c_lessequals(X3,X6,X0)
% 3.62/3.80      | ~ c_lessequals(X6,X4,X0)
% 3.62/3.80      | ~ c_lessequals(X5,X1,X0) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4816_3) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14420,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 3.62/3.80      | ~ c_lessequals(X3,X6,X0)
% 3.62/3.80      | ~ c_lessequals(X6,X4,X0)
% 3.62/3.80      | ~ c_lessequals(X5,X1,X0) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3395]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14421,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(X5,X6,X0),X0)
% 3.62/3.80      | ~ c_lessequals(X6,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X1,X5,X0)
% 3.62/3.80      | ~ c_lessequals(X5,X3,X0)
% 3.62/3.80      | ~ c_lessequals(X4,X6,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14420]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3391,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X3,X1,X0)
% 3.62/3.80      | ~ c_lessequals(X4,X5,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0)
% 3.62/3.80      | ~ c_lessequals(X6,X4,X0) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4817_1) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14412,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X3,X1,X0)
% 3.62/3.80      | ~ c_lessequals(X4,X5,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0)
% 3.62/3.80      | ~ c_lessequals(X6,X4,X0) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3391]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14413,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 3.62/3.80      | ~ c_lessequals(X2,X4,X0)
% 3.62/3.80      | ~ c_lessequals(X6,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.80      | ~ c_lessequals(X5,X1,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14412]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3390,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X3,X1,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0)
% 3.62/3.80      | ~ c_lessequals(X6,X4,X0)
% 3.62/3.80      | ~ c_lessequals(X4,X5,X0) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4817_2) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14410,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X3,X1,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0)
% 3.62/3.80      | ~ c_lessequals(X6,X4,X0)
% 3.62/3.80      | ~ c_lessequals(X4,X5,X0) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3390]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14411,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 3.62/3.80      | ~ c_lessequals(X2,X4,X0)
% 3.62/3.80      | ~ c_lessequals(X6,X2,X0)
% 3.62/3.80      | ~ c_lessequals(X5,X1,X0)
% 3.62/3.80      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14410]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3389,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 3.62/3.80      | ~ c_lessequals(X5,X3,X0)
% 3.62/3.80      | ~ c_lessequals(X3,X4,X0)
% 3.62/3.80      | ~ c_lessequals(X6,X1,X0) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4817_3) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14408,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 3.62/3.80      | ~ c_lessequals(X5,X3,X0)
% 3.62/3.80      | ~ c_lessequals(X3,X4,X0)
% 3.62/3.80      | ~ c_lessequals(X6,X1,X0) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3389]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14409,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.80      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 3.62/3.80      | ~ c_lessequals(X2,X4,X0)
% 3.62/3.80      | ~ c_lessequals(X5,X1,X0)
% 3.62/3.80      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.80      | ~ c_lessequals(X6,X2,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14408]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3343,plain,
% 3.62/3.80      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 3.62/3.80      | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 3.62/3.80      | ~ class_Ring__and__Field_Odvd(X4) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4831_4) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14316,plain,
% 3.62/3.80      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 3.62/3.80      | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 3.62/3.80      | ~ class_Ring__and__Field_Odvd(X4) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3343]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14317,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Odvd(X0)
% 3.62/3.80      | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 3.62/3.80      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14316]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3311,plain,
% 3.62/3.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4843_1) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14252,plain,
% 3.62/3.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3311]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14253,plain,
% 3.62/3.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14252]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3309,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4843_3) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14248,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3309]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14249,plain,
% 3.62/3.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14248]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3307,plain,
% 3.62/3.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4844_1) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14244,plain,
% 3.62/3.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3307]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14245,plain,
% 3.62/3.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14244]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3305,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4844_3) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14240,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3305]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14241,plain,
% 3.62/3.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14240]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3273,plain,
% 3.62/3.80      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.80      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4853_5) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14176,plain,
% 3.62/3.80      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.80      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3273]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14177,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.62/3.80      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14176]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3267,plain,
% 3.62/3.80      ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.80      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.62/3.80      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4854_5) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14164,plain,
% 3.62/3.80      ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.80      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.62/3.80      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3267]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14165,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.62/3.80      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.80      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.80      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14164]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3261,plain,
% 3.62/3.80      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.80      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4855_5) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14152,plain,
% 3.62/3.80      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.80      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3261]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14153,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.80      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14152]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3255,plain,
% 3.62/3.80      ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.80      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4856_5) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14140,plain,
% 3.62/3.80      ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.80      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3255]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14141,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.80      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.80      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.80      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14140]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3249,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4857_5) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14128,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3249]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14129,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.80      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14128]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3243,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4858_5) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14116,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3243]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14117,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.80      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14116]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3237,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4859_5) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14104,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3237]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14105,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14104]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3231,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4860_5) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14092,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3231]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14093,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14092]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3211,plain,
% 3.62/3.80      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.62/3.80      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.80      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4867_5) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14052,plain,
% 3.62/3.80      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.62/3.80      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.80      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3211]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14053,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.80      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.80      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.80      | ~ c_lessequals(X1,X2,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14052]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3206,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4868_4) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14042,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3206]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14043,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14042]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3192,plain,
% 3.62/3.80      ( 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)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 3.62/3.80      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4871_3) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14014,plain,
% 3.62/3.80      ( 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)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 3.62/3.80      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3192]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14015,plain,
% 3.62/3.80      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.80      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_Divides_Odiv__class_Odiv(X4,X3,X0),X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14014]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3186,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4873_3) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14002,plain,
% 3.62/3.80      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.62/3.80      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3186]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_14003,plain,
% 3.62/3.80      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.80      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.62/3.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_14002]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3184,plain,
% 3.62/3.80      ( ~ class_Divides_Oring__div(X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4874_1) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_13998,plain,
% 3.62/3.80      ( ~ class_Divides_Oring__div(X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3184]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_13999,plain,
% 3.62/3.80      ( ~ class_Divides_Oring__div(X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_13998]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3180,plain,
% 3.62/3.80      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4875_1) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_13990,plain,
% 3.62/3.80      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 3.62/3.80      inference(copy,[status(esa)],[c_3180]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_13991,plain,
% 3.62/3.80      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 3.62/3.80      inference(rewriting,[status(thm)],[c_13990]) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_3176,plain,
% 3.62/3.80      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0)
% 3.62/3.80      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 3.62/3.80      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4876_1) ).
% 3.62/3.80  
% 3.62/3.80  cnf(c_13982,plain,
% 3.62/3.80      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.81      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.62/3.81      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0)
% 3.62/3.81      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3176]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13983,plain,
% 3.62/3.81      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.81      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 3.62/3.81      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 3.62/3.81      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13982]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3167,plain,
% 3.62/3.81      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X2,tc_RealDef_Oreal)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X3,X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X0),X4,tc_RealDef_Oreal) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4878_1) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13964,plain,
% 3.62/3.81      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X2,tc_RealDef_Oreal)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X3,X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X0),X4,tc_RealDef_Oreal) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3167]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13965,plain,
% 3.62/3.81      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13964]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3155,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.81      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4881_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13940,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.81      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3155]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13941,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_lessequals(X1,X4,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13940]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3149,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4882_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13928,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3149]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13929,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13928]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3145,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.81      | ~ c_lessequals(X3,X4,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4883_3) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13920,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.81      | ~ c_lessequals(X3,X4,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3145]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13921,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.81      | ~ c_lessequals(X2,X4,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13920]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3143,plain,
% 3.62/3.81      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.62/3.81      | ~ c_lessequals(X4,X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4883_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13916,plain,
% 3.62/3.81      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.62/3.81      | ~ c_lessequals(X4,X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3143]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13917,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X2,X4,X0)
% 3.62/3.81      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13916]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3140,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.81      | ~ c_lessequals(X3,X4,X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4884_2) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13910,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.81      | ~ c_lessequals(X3,X4,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3140]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13911,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.81      | ~ c_lessequals(X2,X4,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13910]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3137,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X4,X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4884_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13904,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X4,X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3137]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13905,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X2,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.81      | ~ c_lessequals(X1,X4,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13904]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3135,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4885_1) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13900,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3135]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13901,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13900]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3131,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4885_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13892,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3131]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13893,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13892]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3129,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X2,X4,X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4886_1) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13888,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X2,X4,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3129]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13889,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X1,X4,X0)
% 3.62/3.81      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13888]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3125,plain,
% 3.62/3.81      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.81      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4886_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13880,plain,
% 3.62/3.81      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.81      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3125]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13881,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.81      | ~ c_lessequals(X2,X4,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13880]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3123,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X4,X2,X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4887_1) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13876,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X4,X2,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3123]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13877,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X1,X4,X0)
% 3.62/3.81      | ~ c_lessequals(X3,X2,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13876]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3119,plain,
% 3.62/3.81      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.81      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4887_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13868,plain,
% 3.62/3.81      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.81      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3119]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13869,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X3,X1,X0)
% 3.62/3.81      | ~ c_lessequals(X2,X4,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13868]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3113,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.62/3.81      | ~ c_lessequals(X4,X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4888_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13856,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 3.62/3.81      | ~ c_lessequals(X4,X1,X2)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3113]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13857,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13856]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3111,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4889_1) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13852,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3111]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13853,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13852]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3109,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4889_3) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13848,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3109]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13849,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13848]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3105,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4890_1) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13840,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3105]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13841,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13840]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3093,plain,
% 3.62/3.81      ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.81      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.62/3.81      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.62/3.81      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4893_3) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13816,plain,
% 3.62/3.81      ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.81      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.62/3.81      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.62/3.81      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3093]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13817,plain,
% 3.62/3.81      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.81      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.81      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.81      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_Divides_Odiv__class_Odiv(X3,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X3,X0),X1,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13816]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3079,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4897_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13788,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3079]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13789,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.81      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13788]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3073,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4898_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13776,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3073]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13777,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13776]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3067,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4899_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13764,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3067]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13765,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13764]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3061,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4900_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13752,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3061]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13753,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13752]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3058,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4901_2) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13746,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3058]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13747,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13746]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3055,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4901_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13740,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3055]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13741,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13740]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3049,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4902_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13728,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3049]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13729,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13728]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3043,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4903_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13716,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3043]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13717,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13716]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3037,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4904_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13704,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3037]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13705,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13704]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3031,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4905_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13692,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3031]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13693,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13692]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3028,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4906_2) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13686,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3028]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13687,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13686]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3025,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4906_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13680,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3025]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13681,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13680]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3019,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4907_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13668,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3019]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13669,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13668]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3013,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4908_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13656,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3013]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13657,plain,
% 3.62/3.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.81      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.81      inference(rewriting,[status(thm)],[c_13656]) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_3007,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.81      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 3.62/3.81      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.81      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4909_5) ).
% 3.62/3.81  
% 3.62/3.81  cnf(c_13644,plain,
% 3.62/3.81      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.81      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 3.62/3.81      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),X3,X1)
% 3.62/3.81      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.81      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.81      inference(copy,[status(esa)],[c_3007]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13645,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13644]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_3001,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4910_5) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13632,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_3001]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13633,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.82      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13632]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2995,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.82      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4911_5) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13620,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.82      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2995]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13621,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13620]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2989,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4912_5) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13608,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2989]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13609,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13608]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2978,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4915_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13586,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2978]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13587,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13586]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2974,plain,
% 3.62/3.82      ( c_lessequals(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4916_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13578,plain,
% 3.62/3.82      ( c_lessequals(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2974]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13579,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | c_lessequals(X3,X2,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13578]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2970,plain,
% 3.62/3.82      ( c_lessequals(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4917_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13570,plain,
% 3.62/3.82      ( c_lessequals(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2970]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13571,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | c_lessequals(X2,X3,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13570]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2958,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4920_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13546,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2958]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13547,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13546]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2954,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4921_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13538,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2954]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13539,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13538]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2950,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4922_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13530,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2950]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13531,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13530]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2946,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4923_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13522,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2946]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13523,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13522]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2942,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4924_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13514,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2942]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13515,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13514]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2926,plain,
% 3.62/3.82      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4928_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13482,plain,
% 3.62/3.82      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2926]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13483,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 3.62/3.82      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13482]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2922,plain,
% 3.62/3.82      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4929_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13474,plain,
% 3.62/3.82      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.82      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2922]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13475,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 3.62/3.82      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13474]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2919,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4930_2) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13468,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2919]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13469,plain,
% 3.62/3.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13468]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2916,plain,
% 3.62/3.82      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4931_2) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13462,plain,
% 3.62/3.82      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2916]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13463,plain,
% 3.62/3.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.82      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13462]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2913,plain,
% 3.62/3.82      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4932_2) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13456,plain,
% 3.62/3.82      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2913]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13457,plain,
% 3.62/3.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.82      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13456]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2909,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4933_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13448,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2909]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13449,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13448]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2905,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4934_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13440,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2905]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13441,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13440]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2896,plain,
% 3.62/3.82      ( 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)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4937_2) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13422,plain,
% 3.62/3.82      ( 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)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2896]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13423,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.82      | 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) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13422]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2882,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4941_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13394,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2882]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13395,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13394]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2874,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4943_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13378,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2874]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13379,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13378]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2840,plain,
% 3.62/3.82      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 3.62/3.82      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4958_1) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13310,plain,
% 3.62/3.82      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 3.62/3.82      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2840]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13311,plain,
% 3.62/3.82      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.82      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13310]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2839,plain,
% 3.62/3.82      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.82      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4958_2) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13308,plain,
% 3.62/3.82      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.82      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2839]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13309,plain,
% 3.62/3.82      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.82      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 3.62/3.82      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13308]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2827,plain,
% 3.62/3.82      ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4960_4) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13284,plain,
% 3.62/3.82      ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2827]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13285,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.82      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13284]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2817,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 3.62/3.82      | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4962_4) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13264,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 3.62/3.82      | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2817]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13265,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13264]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2807,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4964_4) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13244,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X2,X3),X1,X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2807]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13245,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13244]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2797,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4966_4) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13224,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2797]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13225,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13224]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2785,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4969_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13200,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2785]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13201,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13200]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2781,plain,
% 3.62/3.82      ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4970_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13192,plain,
% 3.62/3.82      ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2781]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13193,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.82      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13192]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2777,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4971_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13184,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2777]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13185,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13184]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2773,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4972_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13176,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2773]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13177,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13176]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2764,plain,
% 3.62/3.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.82      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.82      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 3.62/3.82      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4977_0) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13158,plain,
% 3.62/3.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.82      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.82      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 3.62/3.82      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2764]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13159,plain,
% 3.62/3.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 3.62/3.82      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X4,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X3,X4,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13158]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2716,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_lessequals(X3,X0,X2)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4992_4) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13062,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_lessequals(X3,X0,X2)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2716]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13063,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_lessequals(X3,X1,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13062]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2711,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4993_4) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13052,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2711]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13053,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13052]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2691,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4998_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13012,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2691]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_13013,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_13012]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2675,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5002_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12980,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2675]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12981,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12980]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2663,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ c_lessequals(X3,X1,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5005_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12956,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ c_lessequals(X3,X1,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2663]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12957,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X3,X2,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12956]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2659,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.82      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5006_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12948,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.82      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2659]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12949,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12948]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2651,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5008_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12932,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2651]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12933,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12932]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2631,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.82      | ~ c_lessequals(X3,X1,X2)
% 3.62/3.82      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5013_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12892,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.82      | ~ c_lessequals(X3,X1,X2)
% 3.62/3.82      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2631]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12893,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_lessequals(X3,X2,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12892]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2627,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_lessequals(X3,X0,X2)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5014_3) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12884,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.82      | ~ c_lessequals(X3,X0,X2)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2627]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12885,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_lessequals(X3,X1,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12884]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2625,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5015_1) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12880,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2625]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12881,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12880]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2622,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5015_4) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12874,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2622]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12875,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12874]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2620,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5016_1) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12870,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2620]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12871,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12870]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2617,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.82      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5016_4) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12864,plain,
% 3.62/3.82      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.82      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2617]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12865,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12864]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2611,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5017_5) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12852,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2611]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12853,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12852]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2605,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5018_5) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12840,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2605]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12841,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12840]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2603,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5019_1) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12836,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2603]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12837,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12836]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2599,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5019_5) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12828,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2599]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12829,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12828]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2597,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5020_1) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12824,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2597]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12825,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12824]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2593,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5020_5) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12816,plain,
% 3.62/3.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.82      inference(copy,[status(esa)],[c_2593]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_12817,plain,
% 3.62/3.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.82      inference(rewriting,[status(thm)],[c_12816]) ).
% 3.62/3.82  
% 3.62/3.82  cnf(c_2591,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.83      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.83      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 3.62/3.83      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5021_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12812,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.83      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.83      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 3.62/3.83      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2591]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12813,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.83      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.83      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 3.62/3.83      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12812]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2585,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.62/3.83      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.62/3.83      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5022_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12800,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.62/3.83      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.62/3.83      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2585]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12801,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.62/3.83      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12800]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2579,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5024_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12788,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2579]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12789,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12788]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2575,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.62/3.83      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X3,X4,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5025_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12780,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.62/3.83      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X3,X4,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2575]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12781,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,X4,X0)
% 3.62/3.83      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12780]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2570,plain,
% 3.62/3.83      ( 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)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5026_2) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12770,plain,
% 3.62/3.83      ( 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)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2570]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12771,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.83      | 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) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12770]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2482,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5068_2) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12594,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2482]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12595,plain,
% 3.62/3.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12594]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2479,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5069_2) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12588,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2479]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12589,plain,
% 3.62/3.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12588]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2476,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5070_2) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12582,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2476]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12583,plain,
% 3.62/3.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12582]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2473,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5071_2) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12576,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2473]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12577,plain,
% 3.62/3.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12576]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2469,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5073_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12568,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2469]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12569,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12568]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2467,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5073_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12564,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2467]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12565,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12564]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2465,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5074_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12560,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2465]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12561,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12560]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2463,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5074_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12556,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2463]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12557,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12556]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2459,plain,
% 3.62/3.83      ( 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)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5075_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12548,plain,
% 3.62/3.83      ( 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)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2459]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12549,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | 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) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12548]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2455,plain,
% 3.62/3.83      ( 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)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5076_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12540,plain,
% 3.62/3.83      ( 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)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2455]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12541,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | 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) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12540]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2447,plain,
% 3.62/3.83      ( 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)
% 3.62/3.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5078_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12524,plain,
% 3.62/3.83      ( 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)
% 3.62/3.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2447]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12525,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | 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) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12524]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2428,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5083_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12486,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2428]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12487,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12486]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2427,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5084_0) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12484,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2427]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12485,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12484]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2423,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5084_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12476,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2423]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12477,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12476]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2422,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5085_0) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12474,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2422]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12475,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12474]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2418,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5085_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12466,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2418]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12467,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12466]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2413,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5086_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12456,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2413]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12457,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12456]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2408,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5087_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12446,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2408]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12447,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12446]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2403,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5088_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12436,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2403]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12437,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12436]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2398,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5089_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12426,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2398]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12427,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12426]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2393,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5090_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12416,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2393]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12417,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12416]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2388,plain,
% 3.62/3.83      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5091_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12406,plain,
% 3.62/3.83      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2388]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12407,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12406]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2387,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5092_0) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12404,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2387]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12405,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12404]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2383,plain,
% 3.62/3.83      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5092_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12396,plain,
% 3.62/3.83      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2383]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12397,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12396]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2382,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5093_0) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12394,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2382]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12395,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12394]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2378,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5093_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12386,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2378]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12387,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12386]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2373,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5094_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12376,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2373]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12377,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12376]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2370,plain,
% 3.62/3.83      ( c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5095_2) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12370,plain,
% 3.62/3.83      ( c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2370]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12371,plain,
% 3.62/3.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.83      | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),X2) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12370]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2365,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5096_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12360,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2365]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12361,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12360]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2360,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5097_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12350,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2360]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12351,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12350]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2355,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5098_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12340,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2355]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12341,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12340]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2350,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5099_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12330,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2350]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12331,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12330]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2344,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5100_5) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12318,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2344]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12319,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12318]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2338,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5101_5) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12306,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2338]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12307,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12306]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2335,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5102_2) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12300,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2335]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12301,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12300]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2332,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5102_5) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12294,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2332]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12295,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12294]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2329,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5103_2) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12288,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2329]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12289,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12288]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2326,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5103_5) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12282,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2326]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12283,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12282]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2306,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5108_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12242,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2306]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12243,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12242]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2305,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5109_0) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12240,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2305]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12241,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12240]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2294,plain,
% 3.62/3.83      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5111_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12218,plain,
% 3.62/3.83      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2294]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12219,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12218]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2276,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5117_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12182,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2276]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12183,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12182]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2273,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5117_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12176,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2273]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12177,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12176]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2271,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5118_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12172,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2271]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12173,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12172]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2268,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5118_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12166,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2268]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12167,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12166]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2263,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5119_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12156,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2263]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12157,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12156]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2258,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5120_4) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12146,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2258]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12147,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12146]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2246,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5123_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12122,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2246]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12123,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12122]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2240,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5124_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12110,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2240]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12111,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12110]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2234,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5126_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12098,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2234]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12099,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12098]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2230,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5127_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12090,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2230]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12091,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12090]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2226,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5128_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12082,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2226]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12083,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12082]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2222,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5129_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12074,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2222]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12075,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12074]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2212,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5131_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12054,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2212]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12055,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12054]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2192,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5136_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12014,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2192]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_12015,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_12014]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2184,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5138_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11998,plain,
% 3.62/3.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2184]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11999,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_11998]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2174,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5141_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11978,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2174]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11979,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_11978]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2170,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5142_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11970,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2170]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11971,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_11970]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2166,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5143_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11962,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2166]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11963,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_11962]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2162,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5144_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11954,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2162]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11955,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_11954]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2152,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5146_3) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11934,plain,
% 3.62/3.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.83      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2152]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11935,plain,
% 3.62/3.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_11934]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2150,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5147_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11930,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.83      inference(copy,[status(esa)],[c_2150]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11931,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.83      inference(rewriting,[status(thm)],[c_11930]) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_2146,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.83      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5148_1) ).
% 3.62/3.83  
% 3.62/3.83  cnf(c_11922,plain,
% 3.62/3.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2146]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11923,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11922]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2142,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5149_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11914,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2142]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11915,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11914]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2134,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5151_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11898,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2134]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11899,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11898]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2130,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5152_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11890,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2130]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11891,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11890]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2120,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5154_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11870,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2120]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11871,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11870]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2104,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5158_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11838,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,X0,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2104]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11839,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11838]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2102,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5159_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11834,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2102]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11835,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11834]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2100,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5159_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11830,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2100]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11831,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X0),c_Log_Opowr(X2,X0),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11830]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2096,plain,
% 3.62/3.84      ( c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5160_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11822,plain,
% 3.62/3.84      ( c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2096]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11823,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11822]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2059,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5172_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11748,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2059]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11749,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11748]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2054,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5173_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11738,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2054]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11739,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11738]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2049,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.62/3.84      | ~ c_lessequals(X0,X2,X3)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5174_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11728,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.62/3.84      | ~ c_lessequals(X0,X2,X3)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2049]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11729,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11728]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2045,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5175_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11720,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2045]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11721,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11720]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2040,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.62/3.84      | ~ c_lessequals(X0,X2,X3)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5176_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11710,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.62/3.84      | ~ c_lessequals(X0,X2,X3)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2040]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11711,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11710]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2035,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.62/3.84      | ~ c_lessequals(X0,X1,X3)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5177_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11700,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 3.62/3.84      | ~ c_lessequals(X0,X1,X3)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2035]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11701,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.84      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11700]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2031,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5178_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11692,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2031]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11693,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11692]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2027,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5179_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11684,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2027]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11685,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11684]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2024,plain,
% 3.62/3.84      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5180_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11678,plain,
% 3.62/3.84      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2024]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11679,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11678]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2020,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5181_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11670,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2020]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11671,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11670]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2016,plain,
% 3.62/3.84      ( c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5182_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11662,plain,
% 3.62/3.84      ( c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2016]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11663,plain,
% 3.62/3.84      ( c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11662]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2009,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5184_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11648,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2009]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11649,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11648]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2005,plain,
% 3.62/3.84      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5185_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11640,plain,
% 3.62/3.84      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2005]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11641,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | 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)
% 3.62/3.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11640]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_2001,plain,
% 3.62/3.84      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5186_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11632,plain,
% 3.62/3.84      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_2001]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11633,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | 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)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11632]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1987,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.84      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5191_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11604,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.84      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1987]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11605,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.62/3.84      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11604]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1975,plain,
% 3.62/3.84      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X0),X2,X0)
% 3.62/3.84      | ~ c_lessequals(X3,X2,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5194_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11580,plain,
% 3.62/3.84      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X0),X2,X0)
% 3.62/3.84      | ~ c_lessequals(X3,X2,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1975]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11581,plain,
% 3.62/3.84      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.62/3.84      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 3.62/3.84      | ~ c_lessequals(X2,X3,X0)
% 3.62/3.84      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11580]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1971,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.84      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5195_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11572,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.84      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1971]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11573,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.84      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11572]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1959,plain,
% 3.62/3.84      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5198_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11548,plain,
% 3.62/3.84      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1959]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11549,plain,
% 3.62/3.84      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.62/3.84      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11548]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1944,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5203_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11518,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1944]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11519,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11518]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1936,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5205_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11502,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1936]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11503,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | 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) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11502]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1820,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5255_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11270,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1820]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11271,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11270]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1815,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5257_0) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11260,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1815]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11261,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11260]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1811,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5258_0) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11252,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1811]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11253,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11252]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1807,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.62/3.84      | ~ c_lessequals(X4,X3,X0)
% 3.62/3.84      | c_lessequals(X2,X1,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5259_0) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11244,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.62/3.84      | ~ c_lessequals(X4,X3,X0)
% 3.62/3.84      | c_lessequals(X2,X1,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1807]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11245,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | c_lessequals(X3,X4,X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11244]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1803,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.62/3.84      | ~ c_lessequals(X2,X1,X0)
% 3.62/3.84      | c_lessequals(X4,X3,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5260_0) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11236,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 3.62/3.84      | ~ c_lessequals(X2,X1,X0)
% 3.62/3.84      | c_lessequals(X4,X3,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1803]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11237,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | c_lessequals(X3,X4,X0)
% 3.62/3.84      | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11236]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1796,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5261_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11222,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1796]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11223,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11222]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1792,plain,
% 3.62/3.84      ( c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5262_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11214,plain,
% 3.62/3.84      ( c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1792]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11215,plain,
% 3.62/3.84      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11214]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1758,plain,
% 3.62/3.84      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5274_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11146,plain,
% 3.62/3.84      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1758]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11147,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11146]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1752,plain,
% 3.62/3.84      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5276_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11134,plain,
% 3.62/3.84      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1752]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11135,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.62/3.84      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11134]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1718,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.62/3.84      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5288_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11066,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.62/3.84      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1718]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11067,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11066]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1713,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 3.62/3.84      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5289_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11056,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 3.62/3.84      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1713]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11057,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11056]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1710,plain,
% 3.62/3.84      ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 3.62/3.84      | X4 = c_HOL_Ozero__class_Ozero(X2)
% 3.62/3.84      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5289_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11050,plain,
% 3.62/3.84      ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 3.62/3.84      | X4 = c_HOL_Ozero__class_Ozero(X2)
% 3.62/3.84      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1710]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11051,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.62/3.84      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11050]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1708,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.84      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5290_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11046,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.84      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1708]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11047,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11046]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1705,plain,
% 3.62/3.84      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5290_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11040,plain,
% 3.62/3.84      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1705]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11041,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11040]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1703,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5291_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11036,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1703]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11037,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11036]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1700,plain,
% 3.62/3.84      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5291_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11030,plain,
% 3.62/3.84      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1700]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11031,plain,
% 3.62/3.84      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.84      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11030]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1688,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5294_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11006,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1688]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_11007,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_11006]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1681,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,X1)
% 3.62/3.84      | ~ class_Divides_Oring__div(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5296_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10992,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,X1)
% 3.62/3.84      | ~ class_Divides_Oring__div(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1681]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10993,plain,
% 3.62/3.84      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.62/3.84      | ~ class_Divides_Oring__div(X2)
% 3.62/3.84      | 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) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10992]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1678,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.62/3.84      | ~ class_Divides_Oring__div(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5297_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10986,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.62/3.84      | ~ class_Divides_Oring__div(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1678]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10987,plain,
% 3.62/3.84      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.62/3.84      | ~ class_Divides_Oring__div(X2)
% 3.62/3.84      | 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) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10986]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1673,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5298_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10976,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1673]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10977,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10976]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1668,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5299_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10966,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1668]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10967,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10966]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1664,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5300_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10958,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1664]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10959,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10958]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1660,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5301_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10950,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1660]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10951,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10950]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1656,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5302_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10942,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1656]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10943,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10942]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1652,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5303_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10934,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1652]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10935,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10934]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1641,plain,
% 3.62/3.84      ( c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5307_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10912,plain,
% 3.62/3.84      ( c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1641]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10913,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10912]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1625,plain,
% 3.62/3.84      ( X0 = X1
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 3.62/3.84      | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5312_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10880,plain,
% 3.62/3.84      ( X0 = X1
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 3.62/3.84      | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1625]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10881,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.84      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 3.62/3.84      | X2 = X3 ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10880]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1620,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5313_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10870,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1620]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10871,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.84      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10870]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1615,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5314_4) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10860,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1615]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10861,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.84      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10860]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1563,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5334_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10756,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1563]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10757,plain,
% 3.62/3.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10756]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1511,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5352_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10652,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1511]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10653,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | 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) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10652]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1508,plain,
% 3.62/3.84      ( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X0,X1),c_Transcendental_Oexp(X2,X1),X1) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 3.62/3.84      | ~ class_RealVector_Oreal__normed__field(X1)
% 3.62/3.84      | ~ class_SEQ_Obanach(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5353_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10646,plain,
% 3.62/3.84      ( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X0,X1),c_Transcendental_Oexp(X2,X1),X1) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 3.62/3.84      | ~ class_RealVector_Oreal__normed__field(X1)
% 3.62/3.84      | ~ class_SEQ_Obanach(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1508]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10647,plain,
% 3.62/3.84      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.84      | ~ class_SEQ_Obanach(X0)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10646]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1505,plain,
% 3.62/3.84      ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X0,X1),c_Transcendental_Oexp(X2,X1),X1) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1)
% 3.62/3.84      | ~ class_RealVector_Oreal__normed__field(X1)
% 3.62/3.84      | ~ class_SEQ_Obanach(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5354_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10640,plain,
% 3.62/3.84      ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X0,X1),c_Transcendental_Oexp(X2,X1),X1) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1)
% 3.62/3.84      | ~ class_RealVector_Oreal__normed__field(X1)
% 3.62/3.84      | ~ class_SEQ_Obanach(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1505]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10641,plain,
% 3.62/3.84      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.84      | ~ class_SEQ_Obanach(X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10640]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1502,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5355_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10634,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1502]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10635,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | 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) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10634]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1487,plain,
% 3.62/3.84      ( ~ class_Orderings_Oorder(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5360_0) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10604,plain,
% 3.62/3.84      ( ~ class_Orderings_Oorder(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1487]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10605,plain,
% 3.62/3.84      ( ~ class_Orderings_Oorder(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.62/3.84      | ~ c_lessequals(X3,X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10604]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1480,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.84      | ~ c_lessequals(X3,X1,X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.84      | ~ class_Orderings_Oorder(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5361_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10590,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.84      | ~ c_lessequals(X3,X1,X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.84      | ~ class_Orderings_Oorder(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1480]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10591,plain,
% 3.62/3.84      ( ~ class_Orderings_Oorder(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.84      | ~ c_lessequals(X3,X2,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10590]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1475,plain,
% 3.62/3.84      ( ~ class_Orderings_Opreorder(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5363_0) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10580,plain,
% 3.62/3.84      ( ~ class_Orderings_Opreorder(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1475]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10581,plain,
% 3.62/3.84      ( ~ class_Orderings_Opreorder(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.84      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10580]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1468,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.84      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.62/3.84      | ~ class_Orderings_Opreorder(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5364_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10566,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.84      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.62/3.84      | ~ class_Orderings_Opreorder(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1468]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10567,plain,
% 3.62/3.84      ( ~ class_Orderings_Opreorder(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.62/3.84      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10566]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1392,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5396_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10414,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1392]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10415,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | 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) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10414]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1389,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5397_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10408,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1389]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10409,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.84      | 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) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10408]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1349,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5410_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10328,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1349]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10329,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10328]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1345,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5411_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10320,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1345]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10321,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10320]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1341,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5412_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10312,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1341]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10313,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10312]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1337,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5413_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10304,plain,
% 3.62/3.84      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1337]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10305,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10304]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1333,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5414_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10296,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1333]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10297,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10296]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1329,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5415_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10288,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1329]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10289,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10288]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1325,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5416_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10280,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1325]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10281,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10280]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1321,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5417_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10272,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1321]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10273,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10272]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1261,plain,
% 3.62/3.84      ( ~ class_Orderings_Opreorder(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | c_lessequals(X2,X1,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5441_1) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10152,plain,
% 3.62/3.84      ( ~ class_Orderings_Opreorder(X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | c_lessequals(X2,X1,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1261]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10153,plain,
% 3.62/3.84      ( ~ class_Orderings_Opreorder(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.84      | c_lessequals(X2,X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10152]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1259,plain,
% 3.62/3.84      ( c_lessequals(X0,X1,X2)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.62/3.84      | ~ c_lessequals(X1,X0,X2)
% 3.62/3.84      | ~ class_Orderings_Opreorder(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5441_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10148,plain,
% 3.62/3.84      ( c_lessequals(X0,X1,X2)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.62/3.84      | ~ c_lessequals(X1,X0,X2)
% 3.62/3.84      | ~ class_Orderings_Opreorder(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1259]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10149,plain,
% 3.62/3.84      ( ~ class_Orderings_Opreorder(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.84      | c_lessequals(X2,X1,X0)
% 3.62/3.84      | ~ c_lessequals(X1,X2,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10148]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1247,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5445_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10124,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1247]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10125,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10124]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1235,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5448_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10100,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1235]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10101,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.84      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10100]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1231,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5449_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10092,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1231]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10093,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10092]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1227,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5450_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10084,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1227]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10085,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10084]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1223,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5451_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10076,plain,
% 3.62/3.84      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1223]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10077,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10076]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1219,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5452_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10068,plain,
% 3.62/3.84      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.84      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1219]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10069,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.84      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10068]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1190,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5462_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10010,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1190]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_10011,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | 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) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_10010]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1163,plain,
% 3.62/3.84      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5471_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_9956,plain,
% 3.62/3.84      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1163]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_9957,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_9956]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1104,plain,
% 3.62/3.84      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5490_3) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_9838,plain,
% 3.62/3.84      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1104]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_9839,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 3.62/3.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_9838]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_1040,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5510_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_9710,plain,
% 3.62/3.84      ( 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)
% 3.62/3.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_1040]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_9711,plain,
% 3.62/3.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.84      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.84      | 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) ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_9710]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_989,plain,
% 3.62/3.84      ( X0 = X1
% 3.62/3.84      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 3.62/3.84      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5530_2) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_9608,plain,
% 3.62/3.84      ( X0 = X1
% 3.62/3.84      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 3.62/3.84      inference(copy,[status(esa)],[c_989]) ).
% 3.62/3.84  
% 3.62/3.84  cnf(c_9609,plain,
% 3.62/3.84      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.84      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 3.62/3.84      | X0 = X1 ),
% 3.62/3.84      inference(rewriting,[status(thm)],[c_9608]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_885,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.62/3.85      | ~ c_lessequals(X1,X0,X2)
% 3.62/3.85      | ~ class_Orderings_Oorder(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5579_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9400,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.62/3.85      | ~ c_lessequals(X1,X0,X2)
% 3.62/3.85      | ~ class_Orderings_Oorder(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_885]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9401,plain,
% 3.62/3.85      ( ~ class_Orderings_Oorder(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.85      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.85      | X2 = X1 ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_9400]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_877,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.85      | X0 = X1
% 3.62/3.85      | ~ c_lessequals(X0,X1,X2)
% 3.62/3.85      | ~ class_Orderings_Olinorder(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5581_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9384,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.85      | X0 = X1
% 3.62/3.85      | ~ c_lessequals(X0,X1,X2)
% 3.62/3.85      | ~ class_Orderings_Olinorder(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_877]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9385,plain,
% 3.62/3.85      ( ~ class_Orderings_Olinorder(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.85      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.85      | X1 = X2 ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_9384]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_861,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.85      | ~ c_lessequals(X0,X1,X2)
% 3.62/3.85      | ~ class_Orderings_Oorder(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5585_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9352,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.85      | ~ c_lessequals(X0,X1,X2)
% 3.62/3.85      | ~ class_Orderings_Oorder(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_861]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9353,plain,
% 3.62/3.85      ( ~ class_Orderings_Oorder(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.85      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.85      | X1 = X2 ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_9352]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_789,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.62/3.85      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5614_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9208,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.62/3.85      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_789]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9209,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.62/3.85      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.62/3.85      | X0 = X1 ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_9208]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_752,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | ~ class_Power_Opower(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Omult__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5626_5) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9134,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | ~ class_Power_Opower(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Omult__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_752]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9135,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.62/3.85      | ~ class_Power_Opower(X0)
% 3.62/3.85      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_9134]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_718,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.85      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5636_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9066,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.85      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_718]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_9067,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.62/3.85      | X1 = X2 ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_9066]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_620,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.85      | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5673_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8870,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.62/3.85      | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_620]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8871,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.85      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8870]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_545,plain,
% 3.62/3.85      ( c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X0,X1),X1)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__field(X1)
% 3.62/3.85      | ~ class_SEQ_Obanach(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5701_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8720,plain,
% 3.62/3.85      ( c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X0,X1),X1)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__field(X1)
% 3.62/3.85      | ~ class_SEQ_Obanach(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_545]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8721,plain,
% 3.62/3.85      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.85      | ~ class_SEQ_Obanach(X0)
% 3.62/3.85      | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8720]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_542,plain,
% 3.62/3.85      ( 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)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5702_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8714,plain,
% 3.62/3.85      ( 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)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_542]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8715,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.85      | 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) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8714]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_539,plain,
% 3.62/3.85      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5703_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8708,plain,
% 3.62/3.85      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_539]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8709,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.85      | 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) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8708]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_524,plain,
% 3.62/3.85      ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__div__algebra(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5710_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8678,plain,
% 3.62/3.85      ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__div__algebra(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_524]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8679,plain,
% 3.62/3.85      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8678]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_483,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.85      | c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5725_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8596,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.85      | c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_483]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8597,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.85      | c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.85      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8596]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_466,plain,
% 3.62/3.85      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5733_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8562,plain,
% 3.62/3.85      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_466]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8563,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8562]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_440,plain,
% 3.62/3.85      ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5748_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8510,plain,
% 3.62/3.85      ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_440]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8511,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8510]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_318,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.62/3.85      | X1 = X2
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5807_0) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8266,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.62/3.85      | X1 = X2
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_318]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8267,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X1 = X2 ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8266]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_286,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5823_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8202,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_286]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8203,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.62/3.85      | X1 = X2 ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8202]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_283,plain,
% 3.62/3.85      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5825_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8196,plain,
% 3.62/3.85      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_283]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8197,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8196]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_260,plain,
% 3.62/3.85      ( X0 = c_HOL_Oone__class_Oone(X1)
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5838_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8150,plain,
% 3.62/3.85      ( X0 = c_HOL_Oone__class_Oone(X1)
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_260]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8151,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 3.62/3.85      | X1 = c_HOL_Oone__class_Oone(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8150]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_247,plain,
% 3.62/3.85      ( c_Transcendental_Oexp(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__field(X1)
% 3.62/3.85      | ~ class_SEQ_Obanach(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5849_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8124,plain,
% 3.62/3.85      ( c_Transcendental_Oexp(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__field(X1)
% 3.62/3.85      | ~ class_SEQ_Obanach(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_247]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8125,plain,
% 3.62/3.85      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.85      | ~ class_SEQ_Obanach(X0)
% 3.62/3.85      | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8124]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_220,plain,
% 3.62/3.85      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5858_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8070,plain,
% 3.62/3.85      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_220]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8071,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8070]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_217,plain,
% 3.62/3.85      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5859_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8064,plain,
% 3.62/3.85      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_217]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8065,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8064]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_214,plain,
% 3.62/3.85      ( c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.85      | ~ class_SEQ_Obanach(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5860_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8058,plain,
% 3.62/3.85      ( c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.85      | ~ class_SEQ_Obanach(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_214]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_8059,plain,
% 3.62/3.85      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.85      | ~ class_SEQ_Obanach(X0)
% 3.62/3.85      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_8058]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3399,negated_conjecture,
% 3.62/3.85      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_4252,negated_conjecture,
% 3.62/3.85      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3399]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_4256,negated_conjecture,
% 3.62/3.85      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_4252]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_4257,negated_conjecture,
% 3.62/3.85      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_4256]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_4258,negated_conjecture,
% 3.62/3.85      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_4257]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14428,negated_conjecture,
% 3.62/3.85      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_4258]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3393,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(X5,X6,X1),X1)
% 3.62/3.85      | ~ c_lessequals(X0,X5,X1)
% 3.62/3.85      | ~ c_lessequals(X5,X3,X1)
% 3.62/3.85      | ~ c_lessequals(X4,X6,X1)
% 3.62/3.85      | ~ c_lessequals(X6,X2,X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Olordered__ring(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4816_5) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14416,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(X5,X6,X1),X1)
% 3.62/3.85      | ~ c_lessequals(X0,X5,X1)
% 3.62/3.85      | ~ c_lessequals(X5,X3,X1)
% 3.62/3.85      | ~ c_lessequals(X4,X6,X1)
% 3.62/3.85      | ~ c_lessequals(X6,X2,X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Olordered__ring(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3393]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14417,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(X5,X6,X0),X0)
% 3.62/3.85      | ~ c_lessequals(X1,X5,X0)
% 3.62/3.85      | ~ c_lessequals(X5,X3,X0)
% 3.62/3.85      | ~ c_lessequals(X4,X6,X0)
% 3.62/3.85      | ~ c_lessequals(X6,X2,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14416]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3387,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X2),X2),X2),X2)
% 3.62/3.85      | ~ c_lessequals(X5,X0,X2)
% 3.62/3.85      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.85      | ~ c_lessequals(X6,X1,X2)
% 3.62/3.85      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4817_5) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14404,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X2),X2),X2),X2)
% 3.62/3.85      | ~ c_lessequals(X5,X0,X2)
% 3.62/3.85      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.85      | ~ c_lessequals(X6,X1,X2)
% 3.62/3.85      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3387]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14405,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.85      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 3.62/3.85      | ~ c_lessequals(X5,X1,X0)
% 3.62/3.85      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.85      | ~ c_lessequals(X6,X2,X0)
% 3.62/3.85      | ~ c_lessequals(X2,X4,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14404]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3385,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X4,X2),X2),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4818_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14400,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X4,X2),X2),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3385]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14401,plain,
% 3.62/3.85      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14400]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3383,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X2),X2),X2),X2)
% 3.62/3.85      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4819_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14396,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X2),X2),X2),X2)
% 3.62/3.85      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3383]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14397,plain,
% 3.62/3.85      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.62/3.85      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X0),X0),X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14396]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3381,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X5,X3),X4,X3),X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X4,X3)
% 3.62/3.85      | ~ class_RealVector_Oreal__field(X3) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4820_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14392,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X5,X3),X4,X3),X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X4,X3)
% 3.62/3.85      | ~ class_RealVector_Oreal__field(X3) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3381]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14393,plain,
% 3.62/3.85      ( ~ class_RealVector_Oreal__field(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14392]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3380,plain,
% 3.62/3.85      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4821_0) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14390,plain,
% 3.62/3.85      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3380]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3377,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,X1),X3,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X3,X1)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__field(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4821_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14384,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,X1),X3,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X3,X1)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__field(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3377]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14385,plain,
% 3.62/3.85      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14384]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3374,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4822_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14378,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3374]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14379,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14378]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3371,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4823_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14372,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3371]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14373,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14372]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3368,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4824_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14366,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X4,X2),X1,X2),X3,X2),X5,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3368]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14367,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.62/3.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14366]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3365,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4825_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14360,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3365]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14361,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.62/3.85      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14360]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3362,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4826_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14354,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3362]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14355,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14354]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3359,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4827_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14348,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3359]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14349,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14348]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3356,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4828_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14342,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3356]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14343,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14342]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3353,plain,
% 3.62/3.85      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4829_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14336,plain,
% 3.62/3.85      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X3)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Opordered__ring(X3) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3353]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14337,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 3.62/3.85      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14336]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3348,plain,
% 3.62/3.85      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X3)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3),X2,X3),X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Ocomm__ring(X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Odvd(X3) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4830_4) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14326,plain,
% 3.62/3.85      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X3)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3),X2,X3),X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Ocomm__ring(X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Odvd(X3) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3348]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14327,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odvd(X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 3.62/3.85      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14326]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3341,plain,
% 3.62/3.85      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4832_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14312,plain,
% 3.62/3.85      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3341]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14313,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14312]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3339,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2),c_Divides_Odiv__class_Omod(X1,X0,X2),X2),X3,X2) = c_HOL_Oplus__class_Oplus(X1,X3,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4833_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14308,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2),c_Divides_Odiv__class_Omod(X1,X0,X2),X2),X3,X2) = c_HOL_Oplus__class_Oplus(X1,X3,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3339]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14309,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,X3,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14308]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3337,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),c_Divides_Odiv__class_Omod(X0,X1,X2),X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,X3,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4834_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14304,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),c_Divides_Odiv__class_Omod(X0,X1,X2),X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,X3,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3337]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14305,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,X3,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14304]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3333,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,X2),X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4836_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14296,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,X2),X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3333]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14297,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oring(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14296]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3332,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4837_0) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14294,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3332]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3329,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4837_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14288,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3329]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14289,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14288]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3328,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4838_0) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14286,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3328]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3325,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4838_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14280,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3325]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14281,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.85      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14280]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3324,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4839_0) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14278,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3324]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3321,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4839_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14272,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3321]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14273,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.85      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14272]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3318,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4840_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14266,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3318]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14267,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14266]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3315,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4841_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14260,plain,
% 3.62/3.85      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3315]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14261,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14260]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3313,plain,
% 3.62/3.85      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4842_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14256,plain,
% 3.62/3.85      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3313]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14257,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14256]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3303,plain,
% 3.62/3.85      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X2),c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2),X2)
% 3.62/3.85      | ~ class_Lattices_Olattice(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4845_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14236,plain,
% 3.62/3.85      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X2),c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2),X2)
% 3.62/3.85      | ~ class_Lattices_Olattice(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3303]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14237,plain,
% 3.62/3.85      ( ~ class_Lattices_Olattice(X0)
% 3.62/3.85      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14236]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3301,plain,
% 3.62/3.85      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X3),c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X3),X3),X3)
% 3.62/3.85      | ~ class_Lattices_Olattice(X3) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4846_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14232,plain,
% 3.62/3.85      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X3),c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X3),X3),X3)
% 3.62/3.85      | ~ class_Lattices_Olattice(X3) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3301]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14233,plain,
% 3.62/3.85      ( ~ class_Lattices_Olattice(X0)
% 3.62/3.85      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14232]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3298,plain,
% 3.62/3.85      ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Oring(X3) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4847_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14226,plain,
% 3.62/3.85      ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Oring(X3) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3298]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14227,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oring(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 3.62/3.85      | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14226]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3295,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4848_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14220,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3295]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14221,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oring(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14220]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3293,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2),X4,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Osemiring(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4849_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14216,plain,
% 3.62/3.85      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2),X4,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Osemiring(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3293]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14217,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14216]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3287,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.62/3.85      | ~ class_Int_Onumber__ring(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.85      | X2 = X4
% 3.62/3.85      | X1 = X3 ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4851_0) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14204,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.62/3.85      | ~ class_Int_Onumber__ring(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.85      | X2 = X4
% 3.62/3.85      | X1 = X3 ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3287]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3283,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | X2 = X3
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X4),c_HOL_Otimes__class_Otimes(X1,X2,X4),X4)
% 3.62/3.85      | ~ class_Int_Onumber__ring(X4)
% 3.62/3.85      | ~ class_Ring__and__Field_Oidom(X4) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4851_4) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14196,plain,
% 3.62/3.85      ( X0 = X1
% 3.62/3.85      | X2 = X3
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X4),c_HOL_Otimes__class_Otimes(X1,X2,X4),X4)
% 3.62/3.85      | ~ class_Int_Onumber__ring(X4)
% 3.62/3.85      | ~ class_Ring__and__Field_Oidom(X4) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3283]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14197,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.62/3.85      | ~ class_Int_Onumber__ring(X0)
% 3.62/3.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.85      | X1 = X3
% 3.62/3.85      | X2 = X4 ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14196]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3279,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),X3,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,X2),X0,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4852_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14188,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),X3,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,X2),X0,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3279]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14189,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14188]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3229,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4861_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14088,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3229]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14089,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14088]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3227,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4862_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14084,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3227]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14085,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14084]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3225,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.62/3.85      | ~ class_Divides_Oring__div(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4863_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14080,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.62/3.85      | ~ class_Divides_Oring__div(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3225]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14081,plain,
% 3.62/3.85      ( ~ class_Divides_Oring__div(X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14080]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3223,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 3.62/3.85      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4864_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14076,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 3.62/3.85      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3223]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14077,plain,
% 3.62/3.85      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.62/3.85      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14076]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3220,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4865_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14070,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3220]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14071,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14070]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3217,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X1,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4866_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14064,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X1,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3217]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14065,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X2,X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14064]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3201,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4869_4) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14032,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3201]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14033,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14032]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3196,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.62/3.85      | ~ c_lessequals(X3,X1,X2)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4870_4) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14022,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 3.62/3.85      | ~ c_lessequals(X3,X1,X2)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3196]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14023,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.62/3.85      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.62/3.85      | ~ c_lessequals(X2,X1,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14022]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3194,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.85      | 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)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4871_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14018,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.85      | 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)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3194]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14019,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 3.62/3.85      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14018]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3190,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4872_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14010,plain,
% 3.62/3.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3190]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_14011,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_14010]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3182,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X2),X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 3.62/3.85      | ~ class_Divides_Oring__div(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4874_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13994,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X2),X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 3.62/3.85      | ~ class_Divides_Oring__div(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3182]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13995,plain,
% 3.62/3.85      ( ~ class_Divides_Oring__div(X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13994]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3178,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X2),X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4875_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13986,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X2),X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3178]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13987,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13986]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3174,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X2),X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4876_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13978,plain,
% 3.62/3.85      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X2),X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3174]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13979,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.62/3.85      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13978]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3173,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 3.62/3.85      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4877_0) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13976,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 3.62/3.85      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3173]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3172,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.62/3.85      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4877_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13974,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.62/3.85      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3172]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3169,plain,
% 3.62/3.85      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4877_4) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13968,plain,
% 3.62/3.85      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 3.62/3.85      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3169]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13969,plain,
% 3.62/3.85      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.62/3.85      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 3.62/3.85      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13968]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3165,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X0,X2),X3,tc_RealDef_Oreal)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X4,tc_RealDef_Oreal)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4878_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13960,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X0,X2),X3,tc_RealDef_Oreal)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X4,tc_RealDef_Oreal)
% 3.62/3.85      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3165]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13961,plain,
% 3.62/3.85      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13960]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3163,plain,
% 3.62/3.85      ( 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)
% 3.62/3.85      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4879_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13956,plain,
% 3.62/3.85      ( 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)
% 3.62/3.85      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3163]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13957,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.85      | 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) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13956]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3161,plain,
% 3.62/3.85      ( 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)
% 3.62/3.85      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4880_1) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13952,plain,
% 3.62/3.85      ( 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)
% 3.62/3.85      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3161]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13953,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.85      | 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) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13952]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3127,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.85      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.85      | ~ c_lessequals(X2,X3,X0)
% 3.62/3.85      | ~ c_lessequals(X1,X4,X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4886_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13884,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.85      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.85      | ~ c_lessequals(X2,X3,X0)
% 3.62/3.85      | ~ c_lessequals(X1,X4,X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3127]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13885,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.85      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.85      | ~ c_lessequals(X2,X3,X0)
% 3.62/3.85      | ~ c_lessequals(X1,X4,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13884]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3121,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.85      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.85      | ~ c_lessequals(X2,X3,X0)
% 3.62/3.85      | ~ c_lessequals(X1,X4,X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4887_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13872,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.85      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.85      | ~ c_lessequals(X2,X3,X0)
% 3.62/3.85      | ~ c_lessequals(X1,X4,X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3121]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13873,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.85      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.62/3.85      | ~ c_lessequals(X3,X2,X0)
% 3.62/3.85      | ~ c_lessequals(X1,X4,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13872]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3107,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4889_5) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13844,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3107]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13845,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.85      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13844]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3103,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X3,X1)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4890_3) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13836,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X3,X1)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3103]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13837,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13836]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3100,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X3),X3),X2,X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__idom(X3) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4891_2) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13830,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X3),X3),X2,X3)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__idom(X3) ),
% 3.62/3.85      inference(copy,[status(esa)],[c_3100]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_13831,plain,
% 3.62/3.85      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 3.62/3.85      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.62/3.85      inference(rewriting,[status(thm)],[c_13830]) ).
% 3.62/3.85  
% 3.62/3.85  cnf(c_3097,plain,
% 3.62/3.85      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2)
% 3.62/3.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X0,X2),X2),X1,X2)
% 3.62/3.85      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.62/3.85      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4892_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13824,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X0,X2),X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_3097]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13825,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13824]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_3095,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4893_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13820,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_3095]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13821,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13820]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_3090,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4894_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13810,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_3090]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13811,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13810]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_3087,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4895_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13804,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_3087]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13805,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13804]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_3085,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4896_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13800,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_3085]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13801,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13800]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2986,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4913_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13602,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2986]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13603,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13602]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2982,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4914_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13594,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2982]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13595,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13594]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2966,plain,
% 3.62/3.86      ( c_lessequals(X0,X1,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4918_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13562,plain,
% 3.62/3.86      ( c_lessequals(X0,X1,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2966]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13563,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | c_lessequals(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13562]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2962,plain,
% 3.62/3.86      ( c_lessequals(X0,X1,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4919_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13554,plain,
% 3.62/3.86      ( c_lessequals(X0,X1,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2962]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13555,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.86      | c_lessequals(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13554]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2941,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4925_0) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13512,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2941]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2938,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X2,X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4925_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13506,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X2,X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2938]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13507,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13506]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2937,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4926_0) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13504,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2937]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2934,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4926_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13498,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2934]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13499,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13498]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2933,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4927_0) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13496,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2933]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2930,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4927_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13490,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2930]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13491,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.86      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13490]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2899,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.62/3.86      | ~ class_Int_Onumber__ring(X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4936_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13428,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.62/3.86      | ~ class_Int_Onumber__ring(X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2899]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13429,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.62/3.86      | ~ class_Int_Onumber__ring(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13428]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2893,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4938_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13416,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2893]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13417,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13416]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2890,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4939_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13410,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2890]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13411,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 3.62/3.86      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13410]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2886,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4940_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13402,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2886]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13403,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13402]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2878,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4942_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13386,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2878]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13387,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13386]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2870,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X3),X2,X3)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X3) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4945_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13370,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X3),X2,X3)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X3) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2870]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13371,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13370]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2868,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X3,X2),c_HOL_Ominus__class_Ominus(X1,X4,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4946_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13366,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X3,X2),c_HOL_Ominus__class_Ominus(X1,X4,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2868]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13367,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.62/3.86      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13366]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2862,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X3),X2,X3)
% 3.62/3.86      | ~ class_Divides_Oring__div(X3) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4949_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13354,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X3),X2,X3)
% 3.62/3.86      | ~ class_Divides_Oring__div(X3) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2862]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13355,plain,
% 3.62/3.86      ( ~ class_Divides_Oring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13354]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2860,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Divides_Oring__div(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4950_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13350,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Divides_Oring__div(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2860]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13351,plain,
% 3.62/3.86      ( ~ class_Divides_Oring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13350]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2858,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4951_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13346,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2858]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13347,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13346]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2856,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4952_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13342,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2856]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13343,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13342]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2854,plain,
% 3.62/3.86      ( 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)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4953_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13338,plain,
% 3.62/3.86      ( 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)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2854]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13339,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.86      | 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) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13338]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2852,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X3),X2,X3)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X3) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4954_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13334,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X3),X2,X3)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X3) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2852]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13335,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13334]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2850,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4955_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13330,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2850]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13331,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13330]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2849,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4956_0) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13328,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2849]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2846,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4956_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13322,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2846]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13323,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13322]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2845,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4957_0) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13320,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2845]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2842,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4957_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13314,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2842]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13315,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13314]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2837,plain,
% 3.62/3.86      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4958_4) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13304,plain,
% 3.62/3.86      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2837]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13305,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13304]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2832,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | X2 = X3
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 3.62/3.86      | ~ class_Int_Onumber__ring(X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4959_4) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13294,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | X2 = X3
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 3.62/3.86      | ~ class_Int_Onumber__ring(X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2832]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13295,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.62/3.86      | ~ class_Int_Onumber__ring(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X3 = X4 ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13294]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2789,plain,
% 3.62/3.86      ( 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)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4968_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13208,plain,
% 3.62/3.86      ( 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)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2789]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13209,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.86      | 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) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13208]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2771,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4973_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13172,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2771]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13173,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.62/3.86      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13172]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2769,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4974_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13168,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2769]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13169,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.62/3.86      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13168]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2767,plain,
% 3.62/3.86      ( 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)
% 3.62/3.86      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4975_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13164,plain,
% 3.62/3.86      ( 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)
% 3.62/3.86      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2767]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13165,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 3.62/3.86      | 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) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13164]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2765,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4976_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13160,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2765]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13161,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.62/3.86      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13160]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2761,plain,
% 3.62/3.86      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.86      | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 3.62/3.86      | ~ c_lessequals(X4,X2,X3)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4977_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13152,plain,
% 3.62/3.86      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.86      | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 3.62/3.86      | ~ c_lessequals(X4,X2,X3)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2761]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13153,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.86      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 3.62/3.86      | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X4,X0),X0)
% 3.62/3.86      | ~ c_lessequals(X4,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13152]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2759,plain,
% 3.62/3.86      ( 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)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4978_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13148,plain,
% 3.62/3.86      ( 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)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2759]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13149,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.86      | 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) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13148]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2757,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),X2) = X0
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4979_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13144,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),X2) = X0
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2757]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13145,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),X0) = X1 ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13144]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2755,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2),c_Divides_Odiv__class_Omod(X1,X0,X2),X2) = X1
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4980_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13140,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2),c_Divides_Odiv__class_Omod(X1,X0,X2),X2) = X1
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2755]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13141,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0) = X2 ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13140]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2751,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = X0
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4982_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13132,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = X0
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2751]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13133,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0) = X1 ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13132]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2747,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4983_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13124,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2747]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13125,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13124]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2743,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4984_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13116,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2743]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13117,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.86      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13116]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2740,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4985_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13110,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2740]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13111,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13110]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2737,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4986_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13104,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2737]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13105,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13104]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2734,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4987_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13098,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2734]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13099,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13098]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2731,plain,
% 3.62/3.86      ( c_lessequals(X0,X1,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4988_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13092,plain,
% 3.62/3.86      ( c_lessequals(X0,X1,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2731]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13093,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.62/3.86      | c_lessequals(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13092]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2728,plain,
% 3.62/3.86      ( c_lessequals(X0,X1,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4989_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13086,plain,
% 3.62/3.86      ( c_lessequals(X0,X1,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2728]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13087,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.62/3.86      | c_lessequals(X1,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13086]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2725,plain,
% 3.62/3.86      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,X3),X1,X3)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4990_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13080,plain,
% 3.62/3.86      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X2,X3),X1,X3)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2725]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13081,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)
% 3.62/3.86      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13080]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2721,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.86      | ~ 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)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4991_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13072,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.86      | ~ 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)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2721]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13073,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.62/3.86      | ~ 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)
% 3.62/3.86      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13072]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2695,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4997_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13020,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2695]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13021,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13020]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2687,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_4999_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13004,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2687]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_13005,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_13004]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2679,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5001_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12988,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2679]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12989,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12988]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2671,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5003_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12972,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2671]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12973,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12972]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2667,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5004_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12964,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2667]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12965,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12964]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2655,plain,
% 3.62/3.86      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5007_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12940,plain,
% 3.62/3.86      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2655]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12941,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.86      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 3.62/3.86      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12940]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2647,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5009_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12924,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2647]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12925,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12924]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2643,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.86      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5010_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12916,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.86      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2643]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12917,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.86      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12916]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2639,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.86      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5011_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12908,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.86      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2639]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12909,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.86      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.86      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12908]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2635,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5012_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12900,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.86      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2635]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12901,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 3.62/3.86      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.86      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 3.62/3.86      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12900]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2589,plain,
% 3.62/3.86      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5021_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12808,plain,
% 3.62/3.86      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2589]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12809,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.86      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.86      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12808]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2581,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.86      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5023_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12792,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.86      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2581]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12793,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.86      | ~ c_lessequals(X2,X4,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12792]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2577,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5024_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12784,plain,
% 3.62/3.86      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2577]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12785,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.62/3.86      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.62/3.86      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12784]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2573,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.62/3.86      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.86      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5025_3) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12776,plain,
% 3.62/3.86      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 3.62/3.86      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.86      | ~ c_lessequals(X1,X4,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2573]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12777,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.62/3.86      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 3.62/3.86      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.86      | ~ c_lessequals(X2,X4,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12776]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2567,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | 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)
% 3.62/3.86      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5027_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12764,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | 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)
% 3.62/3.86      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2567]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12765,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.86      | 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)
% 3.62/3.86      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12764]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2564,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5028_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12758,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2564]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12759,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12758]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2561,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5029_2) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12752,plain,
% 3.62/3.86      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.86      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2561]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12753,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.86      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12752]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2559,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5030_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12748,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2559]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12749,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12748]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2557,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5031_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12744,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2557]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12745,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12744]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2555,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__field(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5032_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12740,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__field(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2555]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12741,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12740]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2553,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5033_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12736,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2553]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12737,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12736]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2551,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(X0,X2,X3)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X3) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5034_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12732,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(X0,X2,X3)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X3) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2551]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12733,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12732]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2549,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),X1,X3) = c_Divides_Odiv__class_Omod(X0,X1,X3)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X3) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5035_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12728,plain,
% 3.62/3.86      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),X1,X3) = c_Divides_Odiv__class_Omod(X0,X1,X3)
% 3.62/3.86      | ~ class_Divides_Osemiring__div(X3) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2549]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12729,plain,
% 3.62/3.86      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.86      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12728]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2547,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5036_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12724,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2547]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12725,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12724]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2545,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__vector(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5037_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12720,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__vector(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2545]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12721,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__vector(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12720]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2541,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5039_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12712,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2541]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12713,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.86      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12712]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2537,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5041_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12704,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2537]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12705,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.86      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12704]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2535,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5042_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12700,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2535]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12701,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.62/3.86      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12700]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2533,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5043_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12696,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2533]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12697,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.62/3.86      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12696]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2531,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add__join(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5044_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12692,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add__join(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2531]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12693,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X0)
% 3.62/3.86      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12692]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2529,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add__join(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5045_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12688,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add__join(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2529]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12689,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X0)
% 3.62/3.86      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12688]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2527,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_Lattices_Odistrib__lattice(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5046_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12684,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_Lattices_Odistrib__lattice(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2527]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12685,plain,
% 3.62/3.86      ( ~ class_Lattices_Odistrib__lattice(X0)
% 3.62/3.86      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12684]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2525,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Lattices_Odistrib__lattice(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5047_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12680,plain,
% 3.62/3.86      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Lattices_Odistrib__lattice(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2525]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12681,plain,
% 3.62/3.86      ( ~ class_Lattices_Odistrib__lattice(X0)
% 3.62/3.86      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12680]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2523,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__field(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5048_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12676,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__field(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2523]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12677,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.86      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12676]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2521,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5049_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12672,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2521]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12673,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.62/3.86      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12672]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2519,plain,
% 3.62/3.86      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5050_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12668,plain,
% 3.62/3.86      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2519]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12669,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 3.62/3.86      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12668]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2517,plain,
% 3.62/3.86      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5051_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12664,plain,
% 3.62/3.86      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2517]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12665,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 3.62/3.86      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12664]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2515,plain,
% 3.62/3.86      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5052_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12660,plain,
% 3.62/3.86      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2515]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12661,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.62/3.86      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12660]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2513,plain,
% 3.62/3.86      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5053_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12656,plain,
% 3.62/3.86      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2513]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12657,plain,
% 3.62/3.86      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.62/3.86      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12656]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2511,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5054_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12652,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2511]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12653,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.62/3.86      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12652]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2509,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__vector(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5055_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12648,plain,
% 3.62/3.86      ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__vector(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2509]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12649,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__vector(X0)
% 3.62/3.86      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12648]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2505,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5057_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12640,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2505]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12641,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12640]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2503,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5058_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12636,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2503]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12637,plain,
% 3.62/3.86      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12636]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2499,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5060_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12628,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2499]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12629,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12628]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2495,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5062_1) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12620,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.86      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.62/3.86      inference(copy,[status(esa)],[c_2495]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_12621,plain,
% 3.62/3.86      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.86      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.62/3.86      inference(rewriting,[status(thm)],[c_12620]) ).
% 3.62/3.86  
% 3.62/3.86  cnf(c_2493,plain,
% 3.62/3.86      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.86      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.86      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5063_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12616,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2493]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12617,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12616]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2491,plain,
% 3.62/3.87      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),c_Lattices_Oupper__semilattice__class_Osup(X0,X3,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Lattices_Odistrib__lattice(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5064_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12612,plain,
% 3.62/3.87      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),c_Lattices_Oupper__semilattice__class_Osup(X0,X3,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Lattices_Odistrib__lattice(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2491]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12613,plain,
% 3.62/3.87      ( ~ class_Lattices_Odistrib__lattice(X0)
% 3.62/3.87      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12612]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2489,plain,
% 3.62/3.87      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X1,X2)
% 3.62/3.87      | ~ class_Lattices_Odistrib__lattice(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5065_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12608,plain,
% 3.62/3.87      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X1,X2)
% 3.62/3.87      | ~ class_Lattices_Odistrib__lattice(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2489]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12609,plain,
% 3.62/3.87      ( ~ class_Lattices_Odistrib__lattice(X0)
% 3.62/3.87      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12608]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2487,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5066_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12604,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2487]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12605,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12604]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2485,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5067_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12600,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2485]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12601,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12600]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2471,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5072_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12572,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2471]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12573,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oring__1(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12572]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2461,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | 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)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5075_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12552,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | 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)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2461]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12553,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12552]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2451,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.62/3.87      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5077_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12532,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.62/3.87      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2451]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12533,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12532]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2449,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | 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)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5078_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12528,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | 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)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2449]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12529,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12528]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2444,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5079_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12518,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2444]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12519,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.87      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12518]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2438,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5081_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12506,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2438]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12507,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12506]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2436,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5081_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12502,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2436]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12503,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12502]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2433,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5082_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12496,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2433]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12497,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12496]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2371,plain,
% 3.62/3.87      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.87      | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5095_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12372,plain,
% 3.62/3.87      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.87      | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2371]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12373,plain,
% 3.62/3.87      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.87      | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12372]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2322,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5104_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12274,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2322]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12275,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12274]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2318,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5105_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12266,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2318]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12267,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12266]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2314,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5106_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12258,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2314]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12259,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12258]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2310,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5107_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12250,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2310]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12251,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12250]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2302,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5109_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12234,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2302]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12235,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12234]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2301,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5110_0) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12232,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2301]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2298,plain,
% 3.62/3.87      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5110_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12226,plain,
% 3.62/3.87      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2298]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12227,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12226]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2292,plain,
% 3.62/3.87      ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X0,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 3.62/3.87      | ~ class_Divides_Oring__div(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5113_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12214,plain,
% 3.62/3.87      ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X0,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 3.62/3.87      | ~ class_Divides_Oring__div(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2292]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12215,plain,
% 3.62/3.87      ( ~ class_Divides_Oring__div(X0)
% 3.62/3.87      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12214]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2288,plain,
% 3.62/3.87      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.87      | ~ c_lessequals(X2,c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.87      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5114_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12206,plain,
% 3.62/3.87      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.87      | ~ c_lessequals(X2,c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.62/3.87      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2288]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12207,plain,
% 3.62/3.87      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 3.62/3.87      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.87      | ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12206]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2244,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5123_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12118,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2244]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12119,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12118]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2236,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5125_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12102,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2236]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12103,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12102]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2232,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5126_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12094,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2232]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12095,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12094]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2228,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5127_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12086,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2228]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12087,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12086]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2224,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5128_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12078,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2224]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12079,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12078]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2220,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5129_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12070,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2220]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12071,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12070]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2216,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5130_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12062,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2216]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12063,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12062]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2196,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5135_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12022,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2196]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12023,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12022]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2188,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5137_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12006,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2188]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_12007,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_12006]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2180,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5139_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11990,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2180]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11991,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11990]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2176,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5140_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11982,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2176]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11983,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11982]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2172,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5141_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11974,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2172]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11975,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11974]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2168,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5142_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11966,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2168]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11967,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11966]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2164,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5143_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11958,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2164]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11959,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11958]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2160,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5144_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11950,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2160]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11951,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11950]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2156,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5145_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11942,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2156]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11943,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11942]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2148,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5147_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11926,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2148]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11927,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11926]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2144,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5148_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11918,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2144]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11919,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11918]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2140,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5149_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11910,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2140]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11911,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11910]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2132,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5151_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11894,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2132]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11895,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11894]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2128,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5152_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11886,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2128]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11887,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11886]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2116,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5155_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11862,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2116]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11863,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11862]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2112,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5156_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11854,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2112]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11855,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.62/3.87      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11854]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2108,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5157_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11846,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2108]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11847,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11846]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2093,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5161_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11816,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2093]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11817,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11816]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2090,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5162_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11810,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2090]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11811,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11810]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2087,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5163_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11804,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2087]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11805,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11804]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2084,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5164_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11798,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2084]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11799,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11798]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2081,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5165_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11792,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2081]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11793,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11792]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2078,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5166_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11786,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2078]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11787,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11786]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2075,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5167_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11780,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2075]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11781,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11780]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2072,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.62/3.87      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5168_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11774,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.62/3.87      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2072]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11775,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11774]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2069,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5169_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11768,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2069]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11769,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11768]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2066,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.62/3.87      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5170_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11762,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 3.62/3.87      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2066]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11763,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11762]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2063,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5171_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11756,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 3.62/3.87      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2063]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11757,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.62/3.87      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11756]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_2013,plain,
% 3.62/3.87      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5183_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11656,plain,
% 3.62/3.87      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_2013]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11657,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11656]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1999,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X0,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5187_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11628,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X0,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1999]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11629,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11628]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1997,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X2),X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5188_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11624,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X2),X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1997]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11625,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11624]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1991,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5190_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11612,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1991]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11613,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11612]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1989,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5190_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11608,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1989]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11609,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11608]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1985,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5191_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11600,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1985]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11601,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11600]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1973,plain,
% 3.62/3.87      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2)
% 3.62/3.87      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.87      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.87      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5194_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11576,plain,
% 3.62/3.87      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2)
% 3.62/3.87      | ~ c_lessequals(X0,X3,X2)
% 3.62/3.87      | ~ c_lessequals(X1,X3,X2)
% 3.62/3.87      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1973]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11577,plain,
% 3.62/3.87      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.62/3.87      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 3.62/3.87      | ~ c_lessequals(X1,X3,X0)
% 3.62/3.87      | ~ c_lessequals(X2,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11576]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1969,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5195_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11568,plain,
% 3.62/3.87      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1969]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11569,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.87      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.62/3.87      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11568]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1957,plain,
% 3.62/3.87      ( c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 3.62/3.87      | ~ c_lessequals(X0,X1,X3)
% 3.62/3.87      | ~ c_lessequals(X0,X2,X3)
% 3.62/3.87      | ~ class_Lattices_Olower__semilattice(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5198_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11544,plain,
% 3.62/3.87      ( c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 3.62/3.87      | ~ c_lessequals(X0,X1,X3)
% 3.62/3.87      | ~ c_lessequals(X0,X2,X3)
% 3.62/3.87      | ~ class_Lattices_Olower__semilattice(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1957]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11545,plain,
% 3.62/3.87      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.62/3.87      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 3.62/3.87      | ~ c_lessequals(X1,X2,X0)
% 3.62/3.87      | ~ c_lessequals(X1,X3,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11544]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1954,plain,
% 3.62/3.87      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.87      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X0,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5199_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11538,plain,
% 3.62/3.87      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.87      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X0,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1954]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11539,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.87      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11538]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1951,plain,
% 3.62/3.87      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.87      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X2,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5200_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11532,plain,
% 3.62/3.87      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.87      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X2,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1951]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11533,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.62/3.87      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11532]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1948,plain,
% 3.62/3.87      ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1)
% 3.62/3.87      | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Divides_Odiv__class_Omod(X3,X2,X1)
% 3.62/3.87      | ~ class_Divides_Oring__div(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5201_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11526,plain,
% 3.62/3.87      ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1)
% 3.62/3.87      | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Divides_Odiv__class_Omod(X3,X2,X1)
% 3.62/3.87      | ~ class_Divides_Oring__div(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1948]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11527,plain,
% 3.62/3.87      ( ~ class_Divides_Oring__div(X0)
% 3.62/3.87      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0)
% 3.62/3.87      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11526]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1946,plain,
% 3.62/3.87      ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5202_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11522,plain,
% 3.62/3.87      ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
% 3.62/3.87      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1946]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11523,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.62/3.87      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11522]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1943,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5203_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11516,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1943]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1939,plain,
% 3.62/3.87      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.87      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5204_3) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11508,plain,
% 3.62/3.87      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.87      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1939]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11509,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.87      | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11508]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1933,plain,
% 3.62/3.87      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.87      | 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)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5206_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11496,plain,
% 3.62/3.87      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.87      | 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)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1933]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11497,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | 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)
% 3.62/3.87      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11496]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1930,plain,
% 3.62/3.87      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.87      | 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)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5207_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11490,plain,
% 3.62/3.87      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.62/3.87      | 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)
% 3.62/3.87      | ~ class_Divides_Osemiring__div(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1930]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11491,plain,
% 3.62/3.87      ( ~ class_Divides_Osemiring__div(X0)
% 3.62/3.87      | 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)
% 3.62/3.87      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11490]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1927,plain,
% 3.62/3.87      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5208_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11484,plain,
% 3.62/3.87      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1927]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11485,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11484]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1924,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5209_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11478,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1924]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11479,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11478]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1921,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5210_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11472,plain,
% 3.62/3.87      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1921]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11473,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.62/3.87      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.62/3.87      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11472]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1918,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5211_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11466,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1918]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11467,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11466]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1915,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5212_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11460,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1915]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11461,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11460]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1912,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5213_2) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11454,plain,
% 3.62/3.87      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1912]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11455,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.62/3.87      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.62/3.87      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11454]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1910,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5214_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11450,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1910]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11451,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11450]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1908,plain,
% 3.62/3.87      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Lattices_Olattice(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5215_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11446,plain,
% 3.62/3.87      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Lattices_Olattice(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1908]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11447,plain,
% 3.62/3.87      ( ~ class_Lattices_Olattice(X0)
% 3.62/3.87      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11446]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1906,plain,
% 3.62/3.87      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_Lattices_Olattice(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5216_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11442,plain,
% 3.62/3.87      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_Lattices_Olattice(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1906]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11443,plain,
% 3.62/3.87      ( ~ class_Lattices_Olattice(X0)
% 3.62/3.87      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11442]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1904,plain,
% 3.62/3.87      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5217_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11438,plain,
% 3.62/3.87      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1904]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11439,plain,
% 3.62/3.87      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.62/3.87      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11438]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1902,plain,
% 3.62/3.87      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5218_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11434,plain,
% 3.62/3.87      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1902]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11435,plain,
% 3.62/3.87      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.62/3.87      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11434]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1898,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5220_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11426,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1898]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11427,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11426]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1896,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5221_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11422,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1896]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11423,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11422]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1892,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5223_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11414,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1892]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11415,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11414]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1890,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5224_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11410,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1890]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11411,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11410]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1888,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5225_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11406,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1888]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11407,plain,
% 3.62/3.87      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11406]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1886,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5226_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11402,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1886]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11403,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11402]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1884,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5227_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11398,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1884]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11399,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11398]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1880,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__vector(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5229_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11390,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__vector(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1880]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11391,plain,
% 3.62/3.87      ( ~ class_RealVector_Oreal__vector(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11390]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1878,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__normed__vector(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5230_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11386,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__normed__vector(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1878]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11387,plain,
% 3.62/3.87      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11386]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1876,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__normed__field(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5231_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11382,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__normed__field(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1876]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11383,plain,
% 3.62/3.87      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11382]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1874,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__algebra(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5232_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11378,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__algebra(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1874]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11379,plain,
% 3.62/3.87      ( ~ class_RealVector_Oreal__algebra(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11378]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1872,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__algebra(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5233_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11374,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__algebra(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1872]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11375,plain,
% 3.62/3.87      ( ~ class_RealVector_Oreal__algebra(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11374]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1868,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5235_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11366,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1868]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11367,plain,
% 3.62/3.87      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11366]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1864,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5237_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11358,plain,
% 3.62/3.87      ( 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)
% 3.62/3.87      | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1864]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11359,plain,
% 3.62/3.87      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.62/3.87      | 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) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11358]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1862,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5238_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11354,plain,
% 3.62/3.87      ( c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 3.62/3.87      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1862]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11355,plain,
% 3.62/3.87      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.62/3.87      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11354]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1860,plain,
% 3.62/3.87      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Lattices_Olattice(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5239_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11350,plain,
% 3.62/3.87      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Lattices_Olattice(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1860]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11351,plain,
% 3.62/3.87      ( ~ class_Lattices_Olattice(X0)
% 3.62/3.87      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11350]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1858,plain,
% 3.62/3.87      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_Lattices_Olattice(X3) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5240_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11346,plain,
% 3.62/3.87      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X3),X3)
% 3.62/3.87      | ~ class_Lattices_Olattice(X3) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1858]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11347,plain,
% 3.62/3.87      ( ~ class_Lattices_Olattice(X0)
% 3.62/3.87      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 3.62/3.87      inference(rewriting,[status(thm)],[c_11346]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_1856,plain,
% 3.62/3.87      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.62/3.87      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5241_1) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11342,plain,
% 3.62/3.87      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.62/3.87      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.62/3.87      inference(copy,[status(esa)],[c_1856]) ).
% 3.62/3.87  
% 3.62/3.87  cnf(c_11343,plain,
% 3.62/3.87      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.62/3.87      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11342]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1854,plain,
% 3.62/3.88      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X3),X3)
% 3.62/3.88      | ~ class_Lattices_Olower__semilattice(X3) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5242_1) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11338,plain,
% 3.62/3.88      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X3),X3)
% 3.62/3.88      | ~ class_Lattices_Olower__semilattice(X3) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1854]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11339,plain,
% 3.62/3.88      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.62/3.88      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11338]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1850,plain,
% 3.62/3.88      ( 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)
% 3.62/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5244_1) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11330,plain,
% 3.62/3.88      ( 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)
% 3.62/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1850]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11331,plain,
% 3.62/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.88      | 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) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11330]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1846,plain,
% 3.62/3.88      ( 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)
% 3.62/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5246_1) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11322,plain,
% 3.62/3.88      ( 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)
% 3.62/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1846]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11323,plain,
% 3.62/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.88      | 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) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11322]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1844,plain,
% 3.62/3.88      ( 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)
% 3.62/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5247_1) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11318,plain,
% 3.62/3.88      ( 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)
% 3.62/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1844]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11319,plain,
% 3.62/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.62/3.88      | 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) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11318]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1842,plain,
% 3.62/3.88      ( 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)
% 3.62/3.88      | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5248_1) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11314,plain,
% 3.62/3.88      ( 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)
% 3.62/3.88      | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1842]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11315,plain,
% 3.62/3.88      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 3.62/3.88      | 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) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11314]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1840,plain,
% 3.62/3.88      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.88      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5249_1) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11310,plain,
% 3.62/3.88      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.62/3.88      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1840]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11311,plain,
% 3.62/3.88      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.62/3.88      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11310]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1838,plain,
% 3.62/3.88      ( 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)
% 3.62/3.88      | ~ class_RealVector_Oreal__vector(X3) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5250_1) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11306,plain,
% 3.62/3.88      ( 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)
% 3.62/3.88      | ~ class_RealVector_Oreal__vector(X3) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1838]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11307,plain,
% 3.62/3.88      ( ~ class_RealVector_Oreal__vector(X0)
% 3.62/3.88      | 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) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11306]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1835,plain,
% 3.62/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5251_2) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11300,plain,
% 3.62/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1835]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11301,plain,
% 3.62/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.88      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11300]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1832,plain,
% 3.62/3.88      ( c_lessequals(X0,X1,X2)
% 3.62/3.88      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5252_2) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11294,plain,
% 3.62/3.88      ( c_lessequals(X0,X1,X2)
% 3.62/3.88      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1832]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11295,plain,
% 3.62/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.88      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.88      | c_lessequals(X1,X2,X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11294]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1828,plain,
% 3.62/3.88      ( c_lessequals(X0,X1,X2)
% 3.62/3.88      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.88      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5253_3) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11286,plain,
% 3.62/3.88      ( c_lessequals(X0,X1,X2)
% 3.62/3.88      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.62/3.88      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1828]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11287,plain,
% 3.62/3.88      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.62/3.88      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.62/3.88      | c_lessequals(X1,X2,X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11286]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1824,plain,
% 3.62/3.88      ( c_lessequals(X0,X1,X2)
% 3.62/3.88      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.88      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5254_3) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11278,plain,
% 3.62/3.88      ( c_lessequals(X0,X1,X2)
% 3.62/3.88      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.88      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1824]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11279,plain,
% 3.62/3.88      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.88      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.88      | c_lessequals(X2,X1,X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11278]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1816,plain,
% 3.62/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.88      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5256_3) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11262,plain,
% 3.62/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 3.62/3.88      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1816]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11263,plain,
% 3.62/3.88      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.62/3.88      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11262]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1812,plain,
% 3.62/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.62/3.88      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5257_3) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11254,plain,
% 3.62/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.62/3.88      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1812]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11255,plain,
% 3.62/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.88      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.62/3.88      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11254]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1808,plain,
% 3.62/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.62/3.88      | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5258_3) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11246,plain,
% 3.62/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 3.62/3.88      | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1808]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11247,plain,
% 3.62/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.88      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.62/3.88      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.62/3.88      | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11246]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1804,plain,
% 3.62/3.88      ( c_lessequals(X0,X1,X2)
% 3.62/3.88      | ~ c_lessequals(X3,X4,X2)
% 3.62/3.88      | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.62/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5259_3) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11238,plain,
% 3.62/3.88      ( c_lessequals(X0,X1,X2)
% 3.62/3.88      | ~ c_lessequals(X3,X4,X2)
% 3.62/3.88      | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.62/3.88      inference(copy,[status(esa)],[c_1804]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_11239,plain,
% 3.62/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.62/3.88      | c_lessequals(X1,X2,X0)
% 3.62/3.88      | ~ c_lessequals(X3,X4,X0)
% 3.62/3.88      | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 3.62/3.88      inference(rewriting,[status(thm)],[c_11238]) ).
% 3.62/3.88  
% 3.62/3.88  cnf(c_1800,plain,
% 3.62/3.88      ( c_lessequals(X0,X1,X2)
% 3.62/3.88      | ~ c_lessequals(X3,X4,X2)
% 3.62/3.88      | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 3.62/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5260_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11230,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X3,X4,X2)
% 3.72/3.88      | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1800]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11231,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.88      | c_lessequals(X1,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X3,X4,X0)
% 3.72/3.88      | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11230]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1783,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2),X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5265_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11196,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2),X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1783]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11197,plain,
% 3.72/3.88      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.72/3.88      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 3.72/3.88      | c_lessequals(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11196]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1780,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5266_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11190,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1780]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11191,plain,
% 3.72/3.88      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.72/3.88      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 3.72/3.88      | c_lessequals(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11190]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1777,plain,
% 3.72/3.88      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5267_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11184,plain,
% 3.72/3.88      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1777]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11185,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.72/3.88      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11184]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1774,plain,
% 3.72/3.88      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5268_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11178,plain,
% 3.72/3.88      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1774]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11179,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 3.72/3.88      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11178]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1765,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,X2),X1,X2)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5271_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11160,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,X2),X1,X2)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1765]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11161,plain,
% 3.72/3.88      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.72/3.88      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 3.72/3.88      | c_lessequals(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11160]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1762,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X0,X2),X1,X2)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5272_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11154,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X0,X2),X1,X2)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1762]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11155,plain,
% 3.72/3.88      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.72/3.88      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 3.72/3.88      | c_lessequals(X2,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11154]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1755,plain,
% 3.72/3.88      ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 3.72/3.88      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5275_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11140,plain,
% 3.72/3.88      ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 3.72/3.88      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1755]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11141,plain,
% 3.72/3.88      ( ~ class_Divides_Osemiring__div(X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.72/3.88      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11140]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1746,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5278_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11122,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1746]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11123,plain,
% 3.72/3.88      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11122]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1743,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5279_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11116,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1743]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11117,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11116]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1741,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Divides_Osemiring__div(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5280_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11112,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Divides_Osemiring__div(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1741]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11113,plain,
% 3.72/3.88      ( ~ class_Divides_Osemiring__div(X0)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11112]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1738,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.72/3.88      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5281_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11106,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.72/3.88      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1738]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11107,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.88      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.88      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11106]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1730,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.72/3.88      | ~ c_lessequals(X0,X2,X1)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5283_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11090,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.72/3.88      | ~ c_lessequals(X0,X2,X1)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1730]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11091,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.88      | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11090]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1726,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5284_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11082,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1726]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11083,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11082]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1724,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5285_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11078,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1724]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11079,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11078]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1722,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oidom(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5286_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11074,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oidom(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1722]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11075,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11074]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1720,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5287_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11070,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1720]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11071,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11070]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1715,plain,
% 3.72/3.88      ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 3.72/3.88      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.72/3.88      | X4 = c_HOL_Ozero__class_Ozero(X2)
% 3.72/3.88      | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 3.72/3.88      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5288_4) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11060,plain,
% 3.72/3.88      ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 3.72/3.88      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.72/3.88      | X4 = c_HOL_Ozero__class_Ozero(X2)
% 3.72/3.88      | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 3.72/3.88      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1715]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11061,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.72/3.88      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 3.72/3.88      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.72/3.88      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.72/3.88      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11060]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1696,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.72/3.88      | ~ c_lessequals(X2,X0,X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5292_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11022,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.72/3.88      | ~ c_lessequals(X2,X0,X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1696]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11023,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.88      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.72/3.88      | ~ c_lessequals(X2,X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11022]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1692,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.72/3.88      | ~ c_lessequals(X2,X0,X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5293_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11014,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.72/3.88      | ~ c_lessequals(X2,X0,X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1692]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_11015,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_11014]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1684,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5295_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10998,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1684]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10999,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10998]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1648,plain,
% 3.72/3.88      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5304_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10926,plain,
% 3.72/3.88      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1648]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10927,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.88      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10926]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1646,plain,
% 3.72/3.88      ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5305_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10922,plain,
% 3.72/3.88      ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1646]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10923,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.88      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10922]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1644,plain,
% 3.72/3.88      ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5306_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10918,plain,
% 3.72/3.88      ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1644]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10919,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.88      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10918]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1635,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5309_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10900,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1635]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10901,plain,
% 3.72/3.88      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10900]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1632,plain,
% 3.72/3.88      ( c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5310_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10894,plain,
% 3.72/3.88      ( c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1632]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10895,plain,
% 3.72/3.88      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10894]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1629,plain,
% 3.72/3.88      ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.72/3.88      | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) != X3
% 3.72/3.88      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5311_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10888,plain,
% 3.72/3.88      ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.72/3.88      | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) != X3
% 3.72/3.88      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1629]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10889,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.72/3.88      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 3.72/3.88      | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10888]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1612,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5315_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10854,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1612]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10855,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.88      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.88      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10854]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1609,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5316_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10848,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1609]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10849,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10848]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1606,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5318_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10842,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1606]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10843,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.72/3.88      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10842]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1603,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5319_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10836,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1603]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10837,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.72/3.88      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10836]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1600,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5320_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10830,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1600]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10831,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.88      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10830]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1597,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5321_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10824,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1597]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10825,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.88      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10824]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1595,plain,
% 3.72/3.88      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5322_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10820,plain,
% 3.72/3.88      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1595]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10821,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10820]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1592,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5323_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10814,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1592]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10815,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10814]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1589,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5324_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10808,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1589]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10809,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10808]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1586,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5325_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10802,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1586]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10803,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10802]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1584,plain,
% 3.72/3.88      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.72/3.88      | 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) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5326_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10798,plain,
% 3.72/3.88      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1584]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10799,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10798]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1582,plain,
% 3.72/3.88      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.72/3.88      | 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) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5327_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10794,plain,
% 3.72/3.88      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1582]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10795,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10794]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1579,plain,
% 3.72/3.88      ( X0 = X1
% 3.72/3.88      | ~ c_lessequals(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.72/3.88      | ~ class_RealVector_Ometric__space(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5328_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10788,plain,
% 3.72/3.88      ( X0 = X1
% 3.72/3.88      | ~ c_lessequals(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.72/3.88      | ~ class_RealVector_Ometric__space(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1579]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10789,plain,
% 3.72/3.88      ( ~ class_RealVector_Ometric__space(X0)
% 3.72/3.88      | ~ c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.72/3.88      | X1 = X2 ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10788]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1577,plain,
% 3.72/3.88      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X0,X1),tc_RealDef_Oreal)
% 3.72/3.88      | ~ class_RealVector_Ometric__space(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5329_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10784,plain,
% 3.72/3.88      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X0,X1),tc_RealDef_Oreal)
% 3.72/3.88      | ~ class_RealVector_Ometric__space(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1577]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10785,plain,
% 3.72/3.88      ( ~ class_RealVector_Ometric__space(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X1,X0),tc_RealDef_Oreal) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10784]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1575,plain,
% 3.72/3.88      ( ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.72/3.88      | ~ class_RealVector_Ometric__space(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5330_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10780,plain,
% 3.72/3.88      ( ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.72/3.88      | ~ class_RealVector_Ometric__space(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1575]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10781,plain,
% 3.72/3.88      ( ~ class_RealVector_Ometric__space(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10780]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1572,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5331_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10774,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1572]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10775,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10774]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1569,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.72/3.88      | ~ c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5332_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10768,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.72/3.88      | ~ c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1569]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10769,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.88      | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10768]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1566,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5333_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10762,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1566]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10763,plain,
% 3.72/3.88      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10762]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1560,plain,
% 3.72/3.88      ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.72/3.88      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5335_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10750,plain,
% 3.72/3.88      ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.72/3.88      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1560]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10751,plain,
% 3.72/3.88      ( ~ class_Divides_Osemiring__div(X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.72/3.88      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10750]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1557,plain,
% 3.72/3.88      ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.88      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5336_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10744,plain,
% 3.72/3.88      ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.88      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1557]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10745,plain,
% 3.72/3.88      ( ~ class_Divides_Osemiring__div(X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.72/3.88      | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10744]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1554,plain,
% 3.72/3.88      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 3.72/3.88      | ~ c_lessequals(X1,X3,X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5337_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10738,plain,
% 3.72/3.88      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 3.72/3.88      | ~ c_lessequals(X1,X3,X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1554]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10739,plain,
% 3.72/3.88      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.72/3.88      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0)
% 3.72/3.88      | ~ c_lessequals(X2,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10738]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1551,plain,
% 3.72/3.88      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 3.72/3.88      | ~ c_lessequals(X0,X3,X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5338_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10732,plain,
% 3.72/3.88      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 3.72/3.88      | ~ c_lessequals(X0,X3,X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1551]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10733,plain,
% 3.72/3.88      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.72/3.88      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0)
% 3.72/3.88      | ~ c_lessequals(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10732]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1548,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5339_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10726,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1548]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10727,plain,
% 3.72/3.88      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10726]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1545,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5340_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10720,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1545]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10721,plain,
% 3.72/3.88      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10720]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1542,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5341_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10714,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1542]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10715,plain,
% 3.72/3.88      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10714]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1539,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5342_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10708,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1539]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10709,plain,
% 3.72/3.88      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10708]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1536,plain,
% 3.72/3.88      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5343_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10702,plain,
% 3.72/3.88      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1536]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10703,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.88      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10702]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1533,plain,
% 3.72/3.88      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5344_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10696,plain,
% 3.72/3.88      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1533]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10697,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.88      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10696]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1530,plain,
% 3.72/3.88      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_lessequals(X0,X1,X3)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5345_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10690,plain,
% 3.72/3.88      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_lessequals(X0,X1,X3)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1530]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10691,plain,
% 3.72/3.88      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.72/3.88      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10690]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1527,plain,
% 3.72/3.88      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_lessequals(X0,X2,X3)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5346_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10684,plain,
% 3.72/3.88      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 3.72/3.88      | ~ c_lessequals(X0,X2,X3)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1527]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10685,plain,
% 3.72/3.88      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.72/3.88      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0)
% 3.72/3.88      | ~ c_lessequals(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10684]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1525,plain,
% 3.72/3.88      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X0,X2),X2)
% 3.72/3.88      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5347_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10680,plain,
% 3.72/3.88      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X0,X2),X2)
% 3.72/3.88      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1525]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10681,plain,
% 3.72/3.88      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.72/3.88      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10680]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1523,plain,
% 3.72/3.88      ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X0,X2),X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5348_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10676,plain,
% 3.72/3.88      ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X0,X2),X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1523]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10677,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.72/3.88      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10676]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1521,plain,
% 3.72/3.88      ( c_HOL_Oplus__class_Oplus(X0,X0,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X0,X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5349_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10672,plain,
% 3.72/3.88      ( c_HOL_Oplus__class_Oplus(X0,X0,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X0,X1)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1521]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10673,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.88      | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10672]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1520,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.72/3.88      | 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)
% 3.72/3.88      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.72/3.88      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5350_0) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10670,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.72/3.88      | 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)
% 3.72/3.88      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.72/3.88      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1520]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1517,plain,
% 3.72/3.88      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.88      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.88      | 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5350_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10664,plain,
% 3.72/3.88      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.88      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.88      | 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1517]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10665,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.72/3.88      | 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)
% 3.72/3.88      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.72/3.88      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10664]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1498,plain,
% 3.72/3.88      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.72/3.88      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.72/3.88      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 3.72/3.88      | ~ class_RealVector_Oreal__div__algebra(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5356_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10626,plain,
% 3.72/3.88      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.72/3.88      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.72/3.88      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 3.72/3.88      | ~ class_RealVector_Oreal__div__algebra(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1498]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10627,plain,
% 3.72/3.88      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 3.72/3.88      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0)
% 3.72/3.88      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.72/3.88      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10626]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1495,plain,
% 3.72/3.88      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.88      | 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5357_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10620,plain,
% 3.72/3.88      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.88      | 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1495]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10621,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.72/3.88      | 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)
% 3.72/3.88      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10620]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1492,plain,
% 3.72/3.88      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 3.72/3.88      | ~ class_RealVector_Oreal__div__algebra(X2)
% 3.72/3.88      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5358_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10614,plain,
% 3.72/3.88      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 3.72/3.88      | ~ class_RealVector_Oreal__div__algebra(X2)
% 3.72/3.88      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1492]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10615,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.72/3.88      | ~ class_RealVector_Oreal__div__algebra(X0)
% 3.72/3.88      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10614]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1491,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X2,X3,X0)
% 3.72/3.88      | c_lessequals(X1,X3,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5359_0) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10612,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X2,X3,X0)
% 3.72/3.88      | c_lessequals(X1,X3,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1491]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1490,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.88      | c_lessequals(X1,X3,X0)
% 3.72/3.88      | ~ c_lessequals(X2,X3,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5359_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10610,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.88      | c_lessequals(X1,X3,X0)
% 3.72/3.88      | ~ c_lessequals(X2,X3,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1490]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1488,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X0,X3,X2)
% 3.72/3.88      | ~ class_Orderings_Oorder(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5359_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10606,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X0,X3,X2)
% 3.72/3.88      | ~ class_Orderings_Oorder(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1488]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10607,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | c_lessequals(X1,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X3,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10606]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1484,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X0,X3,X2)
% 3.72/3.88      | ~ class_Orderings_Oorder(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5360_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10598,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X0,X3,X2)
% 3.72/3.88      | ~ class_Orderings_Oorder(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1484]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10599,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10598]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1482,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.72/3.88      | ~ c_lessequals(X2,X3,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5361_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10594,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.72/3.88      | ~ c_lessequals(X2,X3,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1482]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1479,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X0)
% 3.72/3.88      | c_lessequals(X3,X2,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5362_0) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10588,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X0)
% 3.72/3.88      | c_lessequals(X3,X2,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1479]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1478,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.88      | c_lessequals(X3,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5362_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10586,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.88      | c_lessequals(X3,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1478]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1476,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X0,X3,X2)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X2)
% 3.72/3.88      | ~ class_Orderings_Opreorder(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5362_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10582,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(X0,X3,X2)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X2)
% 3.72/3.88      | ~ class_Orderings_Opreorder(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1476]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10583,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | c_lessequals(X1,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X1,X3,X0)
% 3.72/3.88      | ~ c_lessequals(X3,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10582]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1472,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X2)
% 3.72/3.88      | ~ class_Orderings_Opreorder(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5363_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10574,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X2)
% 3.72/3.88      | ~ class_Orderings_Opreorder(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1472]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10575,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.72/3.88      | ~ c_lessequals(X3,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10574]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1470,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5364_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10570,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.72/3.88      | ~ c_lessequals(X3,X1,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1470]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1467,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5365_0) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10564,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1467]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1466,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5365_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10562,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1466]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1464,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.72/3.88      | ~ class_Orderings_Opreorder(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5365_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10558,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.72/3.88      | ~ class_Orderings_Opreorder(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1464]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10559,plain,
% 3.72/3.88      ( ~ class_Orderings_Opreorder(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10558]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1463,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5366_0) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10556,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1463]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1462,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5366_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10554,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1462]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1460,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.72/3.88      | ~ class_Orderings_Oorder(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5366_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10550,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.72/3.88      | ~ class_Orderings_Oorder(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1460]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10551,plain,
% 3.72/3.88      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10550]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1459,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 3.72/3.88      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5367_0) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10548,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 3.72/3.88      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1459]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1458,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.72/3.88      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5367_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10546,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.72/3.88      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1458]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1456,plain,
% 3.72/3.88      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5367_3) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10542,plain,
% 3.72/3.88      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 3.72/3.88      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1456]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10543,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.88      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.72/3.88      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10542]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1454,plain,
% 3.72/3.88      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5368_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10538,plain,
% 3.72/3.88      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1454]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10539,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.72/3.88      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10538]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1452,plain,
% 3.72/3.88      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X0,X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5369_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10534,plain,
% 3.72/3.88      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X0,X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1452]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10535,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.72/3.88      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10534]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1450,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5370_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10530,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1450]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10531,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10530]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1448,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5371_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10526,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1448]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10527,plain,
% 3.72/3.88      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10526]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1446,plain,
% 3.72/3.88      ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5372_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10522,plain,
% 3.72/3.88      ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1446]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10523,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.72/3.88      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10522]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1444,plain,
% 3.72/3.88      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_Lattices_Oboolean__algebra(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5373_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10518,plain,
% 3.72/3.88      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_Lattices_Oboolean__algebra(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1444]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10519,plain,
% 3.72/3.88      ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.72/3.88      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10518]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1442,plain,
% 3.72/3.88      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5374_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10514,plain,
% 3.72/3.88      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1442]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10515,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.88      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10514]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1440,plain,
% 3.72/3.88      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5375_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10510,plain,
% 3.72/3.88      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1440]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10511,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.88      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10510]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1438,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5376_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10506,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1438]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10507,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10506]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1436,plain,
% 3.72/3.88      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_Lattices_Oboolean__algebra(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5377_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10502,plain,
% 3.72/3.88      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X1),X1)
% 3.72/3.88      | ~ class_Lattices_Oboolean__algebra(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1436]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10503,plain,
% 3.72/3.88      ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.72/3.88      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10502]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1434,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5378_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10498,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1434]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10499,plain,
% 3.72/3.88      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10498]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1431,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5379_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10492,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1431]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1428,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5380_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10486,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1428]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1426,plain,
% 3.72/3.88      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 3.72/3.88      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5381_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10482,plain,
% 3.72/3.88      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 3.72/3.88      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1426]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10483,plain,
% 3.72/3.88      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.72/3.88      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10482]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1424,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5382_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10478,plain,
% 3.72/3.88      ( 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)
% 3.72/3.88      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1424]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10479,plain,
% 3.72/3.88      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 3.72/3.88      | 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) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10478]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1421,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5383_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10472,plain,
% 3.72/3.88      ( c_lessequals(X0,X1,X2)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1421]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10473,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.88      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.88      | c_lessequals(X2,X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10472]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1418,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5384_2) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10466,plain,
% 3.72/3.88      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.72/3.88      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1418]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10467,plain,
% 3.72/3.88      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.88      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.88      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10466]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1416,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5385_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10462,plain,
% 3.72/3.88      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0)
% 3.72/3.88      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1416]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10463,plain,
% 3.72/3.88      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.88      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10462]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1414,plain,
% 3.72/3.88      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5386_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10458,plain,
% 3.72/3.88      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2)
% 3.72/3.88      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1414]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10459,plain,
% 3.72/3.88      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.72/3.88      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10458]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1412,plain,
% 3.72/3.88      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2)
% 3.72/3.88      | ~ class_Lattices_Olattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5387_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10454,plain,
% 3.72/3.88      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2)
% 3.72/3.88      | ~ class_Lattices_Olattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1412]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10455,plain,
% 3.72/3.88      ( ~ class_Lattices_Olattice(X0)
% 3.72/3.88      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10454]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1410,plain,
% 3.72/3.88      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2)
% 3.72/3.88      | ~ class_Lattices_Olattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5388_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10450,plain,
% 3.72/3.88      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2)
% 3.72/3.88      | ~ class_Lattices_Olattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1410]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10451,plain,
% 3.72/3.88      ( ~ class_Lattices_Olattice(X0)
% 3.72/3.88      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10450]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1408,plain,
% 3.72/3.88      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5389_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10446,plain,
% 3.72/3.88      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2)
% 3.72/3.88      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1408]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10447,plain,
% 3.72/3.88      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.72/3.88      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 3.72/3.88      inference(rewriting,[status(thm)],[c_10446]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_1406,plain,
% 3.72/3.88      ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 3.72/3.88      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.88      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5390_1) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10442,plain,
% 3.72/3.88      ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 3.72/3.88      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.88      inference(copy,[status(esa)],[c_1406]) ).
% 3.72/3.88  
% 3.72/3.88  cnf(c_10443,plain,
% 3.72/3.89      ( ~ class_Divides_Osemiring__div(X0)
% 3.72/3.89      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10442]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1404,plain,
% 3.72/3.89      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 3.72/3.89      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5391_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10438,plain,
% 3.72/3.89      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 3.72/3.89      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1404]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10439,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.72/3.89      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10438]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1402,plain,
% 3.72/3.89      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X1,X0,X2)
% 3.72/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5392_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10434,plain,
% 3.72/3.89      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X1,X0,X2)
% 3.72/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1402]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10435,plain,
% 3.72/3.89      ( ~ class_Divides_Osemiring__div(X0)
% 3.72/3.89      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10434]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1400,plain,
% 3.72/3.89      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 3.72/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5393_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10430,plain,
% 3.72/3.89      ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 3.72/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1400]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10431,plain,
% 3.72/3.89      ( ~ class_Divides_Osemiring__div(X0)
% 3.72/3.89      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10430]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1398,plain,
% 3.72/3.89      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = X2
% 3.72/3.89      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5394_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10426,plain,
% 3.72/3.89      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = X2
% 3.72/3.89      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1398]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10427,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.72/3.89      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10426]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1397,plain,
% 3.72/3.89      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.72/3.89      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
% 3.72/3.89      | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5395_0) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10424,plain,
% 3.72/3.89      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.72/3.89      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
% 3.72/3.89      | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1397]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1396,plain,
% 3.72/3.89      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.72/3.89      | c_lessequals(X2,X1,tc_RealDef_Oreal)
% 3.72/3.89      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5395_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10422,plain,
% 3.72/3.89      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.72/3.89      | c_lessequals(X2,X1,tc_RealDef_Oreal)
% 3.72/3.89      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1396]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1395,plain,
% 3.72/3.89      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.72/3.89      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 3.72/3.89      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5395_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10420,plain,
% 3.72/3.89      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.72/3.89      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 3.72/3.89      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1395]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1385,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.89      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5399_0) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10400,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.89      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1385]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1383,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5399_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10396,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1383]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10397,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.89      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10396]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1379,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5401_0) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10388,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1379]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1377,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5401_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10384,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1377]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10385,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10384]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1373,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5403_0) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10376,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1373]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1371,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5403_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10372,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1371]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10373,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10372]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1367,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5405_0) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10364,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1367]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1365,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5405_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10360,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1365]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10361,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10360]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1362,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5406_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10354,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1362]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10355,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10354]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1359,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5407_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10348,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1359]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10349,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10348]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1356,plain,
% 3.72/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.89      | 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5408_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10342,plain,
% 3.72/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.89      | 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1356]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10343,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.72/3.89      | 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)
% 3.72/3.89      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10342]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1353,plain,
% 3.72/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.89      | 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5409_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10336,plain,
% 3.72/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.89      | 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1353]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10337,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.72/3.89      | 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)
% 3.72/3.89      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10336]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1317,plain,
% 3.72/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5418_3) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10264,plain,
% 3.72/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1317]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10265,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10264]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1313,plain,
% 3.72/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5419_3) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10256,plain,
% 3.72/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1313]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10257,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10256]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1311,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5420_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10252,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1311]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10253,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10252]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1309,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__normed__field(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5421_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10248,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__normed__field(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1309]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10249,plain,
% 3.72/3.89      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10248]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1307,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5422_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10244,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1307]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10245,plain,
% 3.72/3.89      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10244]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1305,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__vector(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5423_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10240,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__vector(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1305]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10241,plain,
% 3.72/3.89      ( ~ class_RealVector_Oreal__vector(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10240]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1303,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Oring(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5424_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10236,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Oring(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1303]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10237,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oring(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10236]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1301,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Oring(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5425_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10232,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Oring(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1301]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10233,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oring(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10232]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1297,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5427_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10224,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1297]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10225,plain,
% 3.72/3.89      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10224]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1293,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5429_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10216,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1293]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10217,plain,
% 3.72/3.89      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10216]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1291,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5430_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10212,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1291]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10213,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10212]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1289,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5431_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10208,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1289]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10209,plain,
% 3.72/3.89      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10208]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1285,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__vector(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5433_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10200,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_RealVector_Oreal__vector(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1285]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10201,plain,
% 3.72/3.89      ( ~ class_RealVector_Oreal__vector(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10200]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1282,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5434_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10194,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1282]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10195,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10194]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1278,plain,
% 3.72/3.89      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 3.72/3.89      | ~ class_Orderings_Olinorder(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5435_3) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10186,plain,
% 3.72/3.89      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 3.72/3.89      | ~ class_Orderings_Olinorder(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1278]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10187,plain,
% 3.72/3.89      ( ~ class_Orderings_Olinorder(X0)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10186]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1275,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5436_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10180,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1275]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10181,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.72/3.89      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10180]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1272,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5437_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10174,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1272]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10175,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10174]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1269,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5438_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10168,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1269]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10169,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10168]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1266,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5439_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10162,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1266]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10163,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10162]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1263,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5440_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10156,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1263]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10157,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10156]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1256,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.72/3.89      | ~ c_lessequals(X2,X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5442_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10142,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.72/3.89      | ~ c_lessequals(X2,X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1256]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10143,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.89      | ~ c_lessequals(X2,X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10142]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1253,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5443_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10136,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1253]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10137,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10136]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1251,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5444_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10132,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1251]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10133,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10132]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1215,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.72/3.89      | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5453_3) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10060,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.72/3.89      | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1215]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10061,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.72/3.89      | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 3.72/3.89      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.72/3.89      | X1 = X2 ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10060]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1213,plain,
% 3.72/3.89      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1) = X2
% 3.72/3.89      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5454_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10056,plain,
% 3.72/3.89      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1) = X2
% 3.72/3.89      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1213]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10057,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.72/3.89      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10056]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1211,plain,
% 3.72/3.89      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X2,X0,X1),X1) = X2
% 3.72/3.89      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5455_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10052,plain,
% 3.72/3.89      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X2,X0,X1),X1) = X2
% 3.72/3.89      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1211]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10053,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.72/3.89      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10052]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1208,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5456_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10046,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1208]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10047,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10046]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1205,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 3.72/3.89      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5457_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10040,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 3.72/3.89      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1205]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10041,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10040]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1202,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5458_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10034,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1202]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10035,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.72/3.89      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10034]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1199,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5459_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10028,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1199]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10029,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10028]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1196,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5460_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10022,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1196]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10023,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.89      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10022]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1187,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5463_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10004,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1187]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_10005,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_10004]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1184,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5464_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9998,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1184]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9999,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9998]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1181,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5465_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9992,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1181]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9993,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9992]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1178,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5466_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9986,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1178]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9987,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9986]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1175,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5467_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9980,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1175]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9981,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9980]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1172,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5468_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9974,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1172]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9975,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9974]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1169,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5469_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9968,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1169]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9969,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9968]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1166,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5470_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9962,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1166]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9963,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9962]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1160,plain,
% 3.72/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5472_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9950,plain,
% 3.72/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1160]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9951,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 3.72/3.89      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9950]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1157,plain,
% 3.72/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5473_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9944,plain,
% 3.72/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1157]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9945,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.72/3.89      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9944]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1154,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5474_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9938,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1154]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9939,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9938]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1151,plain,
% 3.72/3.89      ( c_lessequals(X0,X1,X2)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5475_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9932,plain,
% 3.72/3.89      ( c_lessequals(X0,X1,X2)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 3.72/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1151]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9933,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.72/3.89      | c_lessequals(X1,X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9932]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1148,plain,
% 3.72/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5476_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9926,plain,
% 3.72/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1148]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9927,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.72/3.89      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9926]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1145,plain,
% 3.72/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5477_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9920,plain,
% 3.72/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.72/3.89      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1145]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9921,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.72/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.72/3.89      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9920]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1141,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.72/3.89      | ~ class_Int_Onumber__ring(X3)
% 3.72/3.89      | ~ class_Ring__and__Field_Oidom(X3) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5478_3) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9912,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.72/3.89      | ~ class_Int_Onumber__ring(X3)
% 3.72/3.89      | ~ class_Ring__and__Field_Oidom(X3) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1141]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9913,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.72/3.89      | ~ class_Int_Onumber__ring(X0)
% 3.72/3.89      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.72/3.89      | X2 = X3 ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9912]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1139,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5479_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9908,plain,
% 3.72/3.89      ( 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)
% 3.72/3.89      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1139]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9909,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.72/3.89      | 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) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9908]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1135,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | X2 = c_HOL_Ozero__class_Ozero(X3)
% 3.72/3.89      | c_RealVector_OscaleR__class_OscaleR(X0,X2,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
% 3.72/3.89      | ~ class_RealVector_Oreal__vector(X3) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5480_3) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9900,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | X2 = c_HOL_Ozero__class_Ozero(X3)
% 3.72/3.89      | c_RealVector_OscaleR__class_OscaleR(X0,X2,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
% 3.72/3.89      | ~ class_RealVector_Oreal__vector(X3) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1135]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9901,plain,
% 3.72/3.89      ( ~ class_RealVector_Oreal__vector(X0)
% 3.72/3.89      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 3.72/3.89      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.72/3.89      | X1 = X3 ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9900]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1131,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.72/3.89      | c_RealVector_OscaleR__class_OscaleR(X2,X0,X3) != c_RealVector_OscaleR__class_OscaleR(X2,X1,X3)
% 3.72/3.89      | ~ class_RealVector_Oreal__vector(X3) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5481_3) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9892,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.72/3.89      | c_RealVector_OscaleR__class_OscaleR(X2,X0,X3) != c_RealVector_OscaleR__class_OscaleR(X2,X1,X3)
% 3.72/3.89      | ~ class_RealVector_Oreal__vector(X3) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1131]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9893,plain,
% 3.72/3.89      ( ~ class_RealVector_Oreal__vector(X0)
% 3.72/3.89      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X1,X3,X0)
% 3.72/3.89      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.72/3.89      | X2 = X3 ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9892]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1128,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5482_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9886,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1128]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9887,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.72/3.89      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9886]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1125,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5483_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9880,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1125]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9881,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9880]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1122,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5484_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9874,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1122]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9875,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9874]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1119,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5485_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9868,plain,
% 3.72/3.89      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1119]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9869,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.72/3.89      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9868]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1116,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5486_2) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9862,plain,
% 3.72/3.89      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.72/3.89      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.72/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1116]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9863,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.72/3.89      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.72/3.89      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9862]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1114,plain,
% 3.72/3.89      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_RealVector_Odist__class_Odist(X0,X1,X2)
% 3.72/3.89      | ~ class_RealVector_Odist__norm(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5487_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9858,plain,
% 3.72/3.89      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_RealVector_Odist__class_Odist(X0,X1,X2)
% 3.72/3.89      | ~ class_RealVector_Odist__norm(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1114]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9859,plain,
% 3.72/3.89      ( ~ class_RealVector_Odist__norm(X0)
% 3.72/3.89      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_RealVector_Odist__class_Odist(X1,X2,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9858]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1112,plain,
% 3.72/3.89      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 3.72/3.89      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5488_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9854,plain,
% 3.72/3.89      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 3.72/3.89      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1112]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9855,plain,
% 3.72/3.89      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.72/3.89      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9854]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1084,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | ~ c_lessequals(X1,X0,X2)
% 3.72/3.89      | ~ c_lessequals(X0,X1,X2)
% 3.72/3.89      | ~ class_Orderings_Oorder(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5495_3) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9798,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | ~ c_lessequals(X1,X0,X2)
% 3.72/3.89      | ~ c_lessequals(X0,X1,X2)
% 3.72/3.89      | ~ class_Orderings_Oorder(X2) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1084]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9799,plain,
% 3.72/3.89      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.89      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.89      | ~ c_lessequals(X2,X1,X0)
% 3.72/3.89      | X2 = X1 ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9798]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1086,plain,
% 3.72/3.89      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.89      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.89      | X1 = X2
% 3.72/3.89      | ~ c_lessequals(X2,X1,X0) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5495_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9802,plain,
% 3.72/3.89      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.89      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.89      | X1 = X2
% 3.72/3.89      | ~ c_lessequals(X2,X1,X0) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1086]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9803,plain,
% 3.72/3.89      ( ~ class_Orderings_Oorder(X0)
% 3.72/3.89      | ~ c_lessequals(X1,X2,X0)
% 3.72/3.89      | ~ c_lessequals(X2,X1,X0)
% 3.72/3.89      | X1 = X2 ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9802]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1082,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5496_1) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9794,plain,
% 3.72/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 3.72/3.89      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.72/3.89      inference(copy,[status(esa)],[c_1082]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_9795,plain,
% 3.72/3.89      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.72/3.89      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 3.72/3.89      inference(rewriting,[status(thm)],[c_9794]) ).
% 3.72/3.89  
% 3.72/3.89  cnf(c_1079,plain,
% 3.72/3.89      ( X0 = X1
% 3.72/3.89      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 3.72/3.89      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.72/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5497_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9788,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 3.74/3.89      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1079]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9789,plain,
% 3.74/3.89      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.74/3.89      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 3.74/3.89      | X1 = X2 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9788]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1076,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 3.74/3.89      | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5498_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9782,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 3.74/3.89      | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1076]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9783,plain,
% 3.74/3.89      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.74/3.89      | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 3.74/3.89      | X2 = X3 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9782]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1073,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 3.74/3.89      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5499_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9776,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 3.74/3.89      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1073]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9777,plain,
% 3.74/3.89      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.74/3.89      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 3.74/3.89      | X1 = X3 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9776]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1070,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.74/3.89      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5500_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9770,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.74/3.89      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1070]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9771,plain,
% 3.74/3.89      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.74/3.89      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.74/3.89      | X2 = X3 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9770]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1067,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.74/3.89      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5501_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9764,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 3.74/3.89      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1067]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9765,plain,
% 3.74/3.89      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 3.74/3.89      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 3.74/3.89      | X2 = X3 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9764]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1064,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.89      | ~ class_Orderings_Oorder(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5502_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9758,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.89      | ~ class_Orderings_Oorder(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1064]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9759,plain,
% 3.74/3.89      ( ~ class_Orderings_Oorder(X0)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9758]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1061,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.89      | ~ class_Orderings_Olinorder(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5503_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9752,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.89      | ~ class_Orderings_Olinorder(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1061]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9753,plain,
% 3.74/3.89      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9752]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1055,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.89      | ~ class_Orderings_Opreorder(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5505_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9740,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.89      | ~ class_Orderings_Opreorder(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1055]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9741,plain,
% 3.74/3.89      ( ~ class_Orderings_Opreorder(X0)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9740]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1049,plain,
% 3.74/3.89      ( ~ c_lessequals(X0,X1,X2)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.89      | ~ class_Orderings_Olinorder(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5507_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9728,plain,
% 3.74/3.89      ( ~ c_lessequals(X0,X1,X2)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.89      | ~ class_Orderings_Olinorder(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1049]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9729,plain,
% 3.74/3.89      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.89      | ~ c_lessequals(X2,X1,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9728]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1043,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.89      | ~ c_lessequals(X1,X0,X2)
% 3.74/3.89      | ~ class_Orderings_Opreorder(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5509_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9716,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.89      | ~ c_lessequals(X1,X0,X2)
% 3.74/3.89      | ~ class_Orderings_Opreorder(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1043]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9717,plain,
% 3.74/3.89      ( ~ class_Orderings_Opreorder(X0)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.89      | ~ c_lessequals(X2,X1,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9716]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1037,plain,
% 3.74/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.89      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5511_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9704,plain,
% 3.74/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.89      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1037]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9705,plain,
% 3.74/3.89      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.89      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 3.74/3.89      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9704]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1034,plain,
% 3.74/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.89      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5512_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9698,plain,
% 3.74/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.89      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1034]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9699,plain,
% 3.74/3.89      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.89      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 3.74/3.89      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9698]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1028,plain,
% 3.74/3.89      ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 3.74/3.89      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5514_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9686,plain,
% 3.74/3.89      ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 3.74/3.89      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1028]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9687,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.89      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 3.74/3.89      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9686]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1026,plain,
% 3.74/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 3.74/3.89      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5515_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9682,plain,
% 3.74/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 3.74/3.89      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1026]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9683,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.74/3.89      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9682]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1023,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5516_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9676,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1023]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9677,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.89      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9676]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1020,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 3.74/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5517_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9670,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 3.74/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1020]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9671,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.89      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9670]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1017,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 3.74/3.89      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5518_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9664,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 3.74/3.89      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1017]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9665,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.74/3.89      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9664]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1014,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5519_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9658,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1014]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9659,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.74/3.89      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.74/3.89      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9658]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1011,plain,
% 3.74/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.89      | 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)
% 3.74/3.89      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5520_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9652,plain,
% 3.74/3.89      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.89      | 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)
% 3.74/3.89      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1011]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9653,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.89      | 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)
% 3.74/3.89      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9652]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1008,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.89      | c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5522_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9646,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.89      | c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1008]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9647,plain,
% 3.74/3.89      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal)
% 3.74/3.89      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.89      | X1 = X2 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9646]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1005,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.89      | c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5523_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9640,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.89      | c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1005]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9641,plain,
% 3.74/3.89      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)
% 3.74/3.89      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.89      | X0 = X2 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9640]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1003,plain,
% 3.74/3.89      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5524_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9636,plain,
% 3.74/3.89      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1003]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9637,plain,
% 3.74/3.89      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.89      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9636]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_1001,plain,
% 3.74/3.89      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5525_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9632,plain,
% 3.74/3.89      ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_1001]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9633,plain,
% 3.74/3.89      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.89      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9632]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_999,plain,
% 3.74/3.89      ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5526_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9628,plain,
% 3.74/3.89      ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_999]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9629,plain,
% 3.74/3.89      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.89      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9628]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_996,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X1,X2),tc_RealDef_Oreal)
% 3.74/3.89      | ~ class_RealVector_Ometric__space(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5527_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9622,plain,
% 3.74/3.89      ( X0 = X1
% 3.74/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X1,X2),tc_RealDef_Oreal)
% 3.74/3.89      | ~ class_RealVector_Ometric__space(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_996]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9623,plain,
% 3.74/3.89      ( ~ class_RealVector_Ometric__space(X0)
% 3.74/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X0),tc_RealDef_Oreal)
% 3.74/3.89      | X1 = X2 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9622]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_994,plain,
% 3.74/3.89      ( c_lessequals(c_RealVector_Odist__class_Odist(X0,X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | ~ class_RealVector_Ometric__space(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5528_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9618,plain,
% 3.74/3.89      ( c_lessequals(c_RealVector_Odist__class_Odist(X0,X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | ~ class_RealVector_Ometric__space(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_994]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9619,plain,
% 3.74/3.89      ( ~ class_RealVector_Ometric__space(X0)
% 3.74/3.89      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9618]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_992,plain,
% 3.74/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X1,X2),tc_RealDef_Oreal)
% 3.74/3.89      | ~ class_RealVector_Ometric__space(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5529_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9614,plain,
% 3.74/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X1,X2),tc_RealDef_Oreal)
% 3.74/3.89      | ~ class_RealVector_Ometric__space(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_992]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9615,plain,
% 3.74/3.89      ( ~ class_RealVector_Ometric__space(X0)
% 3.74/3.89      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X0),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9614]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_990,plain,
% 3.74/3.89      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.74/3.89      | X1 = X0
% 3.74/3.89      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5530_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9610,plain,
% 3.74/3.89      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.74/3.89      | X1 = X0
% 3.74/3.89      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_990]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9611,plain,
% 3.74/3.89      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 3.74/3.89      | X1 = X0 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9610]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_987,plain,
% 3.74/3.89      ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 3.74/3.89      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5531_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9604,plain,
% 3.74/3.89      ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 3.74/3.89      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_987]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9605,plain,
% 3.74/3.89      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.89      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9604]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_985,plain,
% 3.74/3.89      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = X0
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5532_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9600,plain,
% 3.74/3.89      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X2) = X0
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_985]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9601,plain,
% 3.74/3.89      ( ~ class_Lattices_Olattice(X0)
% 3.74/3.89      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = X1 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9600]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_983,plain,
% 3.74/3.89      ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 3.74/3.89      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5533_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9596,plain,
% 3.74/3.89      ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 3.74/3.89      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_983]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9597,plain,
% 3.74/3.89      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.89      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9596]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_981,plain,
% 3.74/3.89      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2) = X0
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5534_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9592,plain,
% 3.74/3.89      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2) = X0
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_981]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9593,plain,
% 3.74/3.89      ( ~ class_Lattices_Olattice(X0)
% 3.74/3.89      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = X1 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9592]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_979,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Odvd(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5535_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9588,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Odvd(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_979]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9589,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Odvd(X0)
% 3.74/3.89      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9588]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_977,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5536_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9584,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_977]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9585,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.89      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9584]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_975,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5537_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9580,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 3.74/3.89      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_975]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9581,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.89      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9580]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_973,plain,
% 3.74/3.89      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2),X2)
% 3.74/3.89      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5538_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9576,plain,
% 3.74/3.89      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2),X2)
% 3.74/3.89      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_973]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9577,plain,
% 3.74/3.89      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.74/3.89      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9576]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_971,plain,
% 3.74/3.89      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2)
% 3.74/3.89      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5539_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9572,plain,
% 3.74/3.89      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2)
% 3.74/3.89      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_971]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9573,plain,
% 3.74/3.89      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.74/3.89      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9572]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_969,plain,
% 3.74/3.89      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2),X2)
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5540_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9568,plain,
% 3.74/3.89      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2),X2)
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_969]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9569,plain,
% 3.74/3.89      ( ~ class_Lattices_Olattice(X0)
% 3.74/3.89      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9568]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_967,plain,
% 3.74/3.89      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2)
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5541_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9564,plain,
% 3.74/3.89      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2)
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_967]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9565,plain,
% 3.74/3.89      ( ~ class_Lattices_Olattice(X0)
% 3.74/3.89      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9564]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_965,plain,
% 3.74/3.89      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5542_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9560,plain,
% 3.74/3.89      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_965]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9561,plain,
% 3.74/3.89      ( ~ class_Lattices_Olattice(X0)
% 3.74/3.89      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9560]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_963,plain,
% 3.74/3.89      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5543_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9556,plain,
% 3.74/3.89      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 3.74/3.89      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_963]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9557,plain,
% 3.74/3.89      ( ~ class_Lattices_Olattice(X0)
% 3.74/3.89      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9556]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_961,plain,
% 3.74/3.89      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 3.74/3.89      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5544_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9552,plain,
% 3.74/3.89      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 3.74/3.89      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_961]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9553,plain,
% 3.74/3.89      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.74/3.89      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9552]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_959,plain,
% 3.74/3.89      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 3.74/3.89      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5545_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9548,plain,
% 3.74/3.89      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 3.74/3.89      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_959]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9549,plain,
% 3.74/3.89      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.74/3.89      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9548]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_957,plain,
% 3.74/3.89      ( 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)
% 3.74/3.89      | ~ class_Ring__and__Field_Oring(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5546_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9544,plain,
% 3.74/3.89      ( 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)
% 3.74/3.89      | ~ class_Ring__and__Field_Oring(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_957]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9545,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Oring(X0)
% 3.74/3.89      | 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) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9544]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_955,plain,
% 3.74/3.89      ( 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)
% 3.74/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5547_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9540,plain,
% 3.74/3.89      ( 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)
% 3.74/3.89      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_955]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9541,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.89      | 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) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9540]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_953,plain,
% 3.74/3.89      ( 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)
% 3.74/3.89      | ~ class_Ring__and__Field_Oring(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5548_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9536,plain,
% 3.74/3.89      ( 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)
% 3.74/3.89      | ~ class_Ring__and__Field_Oring(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_953]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9537,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Oring(X0)
% 3.74/3.89      | 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) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9536]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_951,plain,
% 3.74/3.89      ( 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)
% 3.74/3.89      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5549_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9532,plain,
% 3.74/3.89      ( 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)
% 3.74/3.89      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_951]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9533,plain,
% 3.74/3.89      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.74/3.89      | 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) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9532]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_949,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5550_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9528,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_949]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_947,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0)
% 3.74/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5551_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9524,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0)
% 3.74/3.89      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_947]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9525,plain,
% 3.74/3.89      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9524]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_943,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.89      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 3.74/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 3.74/3.89      | ~ class_Orderings_Olinorder(X1) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5553_3) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9516,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.89      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 3.74/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 3.74/3.89      | ~ class_Orderings_Olinorder(X1) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_943]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9517,plain,
% 3.74/3.89      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.89      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.89      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.89      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9516]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_941,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5554_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9512,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_941]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9513,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 3.74/3.89      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9512]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_939,plain,
% 3.74/3.89      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5555_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9508,plain,
% 3.74/3.89      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_939]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9509,plain,
% 3.74/3.89      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 3.74/3.89      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9508]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_937,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal)
% 3.74/3.89      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5556_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9504,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal)
% 3.74/3.89      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_937]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9505,plain,
% 3.74/3.89      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9504]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_935,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5557_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9500,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_935]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9501,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9500]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_933,plain,
% 3.74/3.89      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5558_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9496,plain,
% 3.74/3.89      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_933]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9497,plain,
% 3.74/3.89      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.89      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9496]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_931,plain,
% 3.74/3.89      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5559_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9492,plain,
% 3.74/3.89      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_931]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9493,plain,
% 3.74/3.89      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9492]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_929,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5560_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9488,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_929]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9489,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.89      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9488]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_927,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5561_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9484,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_927]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9485,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9484]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_925,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5562_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9480,plain,
% 3.74/3.89      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_925]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9481,plain,
% 3.74/3.89      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.89      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9480]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_923,plain,
% 3.74/3.89      ( c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5563_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9476,plain,
% 3.74/3.89      ( c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_923]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9477,plain,
% 3.74/3.89      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.89      | c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9476]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_921,plain,
% 3.74/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5564_1) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9472,plain,
% 3.74/3.89      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.89      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_921]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9473,plain,
% 3.74/3.89      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.89      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.89      inference(rewriting,[status(thm)],[c_9472]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_918,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.74/3.89      | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.74/3.89      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5565_2) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9466,plain,
% 3.74/3.89      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.74/3.89      | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.89      | ~ class_Divides_Osemiring__div(X2) ),
% 3.74/3.89      inference(copy,[status(esa)],[c_918]) ).
% 3.74/3.89  
% 3.74/3.89  cnf(c_9467,plain,
% 3.74/3.89      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.89      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.74/3.90      | c_Divides_Odiv__class_Omod(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9466]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_915,plain,
% 3.74/3.90      ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.74/3.90      | ~ class_Divides_Osemiring__div(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5566_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9460,plain,
% 3.74/3.90      ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 3.74/3.90      | ~ class_Divides_Osemiring__div(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_915]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9461,plain,
% 3.74/3.90      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.90      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.74/3.90      | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9460]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_913,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5567_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9456,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_913]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_909,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5569_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9448,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_909]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_907,plain,
% 3.74/3.90      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5570_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9444,plain,
% 3.74/3.90      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_907]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_905,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5571_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9440,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_905]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_903,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5572_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9436,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_903]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_899,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5574_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9428,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_899]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_897,plain,
% 3.74/3.90      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5575_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9424,plain,
% 3.74/3.90      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_897]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_893,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5577_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9416,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_893]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_859,plain,
% 3.74/3.90      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal),X0,X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 3.74/3.90      | ~ class_RealVector_Osgn__div__norm(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5586_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9348,plain,
% 3.74/3.90      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal),X0,X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 3.74/3.90      | ~ class_RealVector_Osgn__div__norm(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_859]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9349,plain,
% 3.74/3.90      ( ~ class_RealVector_Osgn__div__norm(X0)
% 3.74/3.90      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal),X1,X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9348]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_856,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) != X1
% 3.74/3.90      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5587_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9342,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) != X1
% 3.74/3.90      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_856]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9343,plain,
% 3.74/3.90      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.74/3.90      | c_lessequals(X1,X2,X0)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) != X2 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9342]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_853,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) != X0
% 3.74/3.90      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5588_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9336,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) != X0
% 3.74/3.90      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_853]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9337,plain,
% 3.74/3.90      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.74/3.90      | c_lessequals(X1,X2,X0)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) != X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9336]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_851,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5589_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9332,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_851]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_849,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5590_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9328,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_849]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_847,plain,
% 3.74/3.90      ( c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5591_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9324,plain,
% 3.74/3.90      ( c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_847]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_845,plain,
% 3.74/3.90      ( c_lessequals(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5592_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9320,plain,
% 3.74/3.90      ( c_lessequals(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_845]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_842,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5593_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9314,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_842]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9315,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9314]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_839,plain,
% 3.74/3.90      ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) = X0
% 3.74/3.90      | ~ c_lessequals(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5594_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9308,plain,
% 3.74/3.90      ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) = X0
% 3.74/3.90      | ~ c_lessequals(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_839]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9309,plain,
% 3.74/3.90      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.74/3.90      | ~ c_lessequals(X1,X2,X0)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) = X2 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9308]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_836,plain,
% 3.74/3.90      ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) = X1
% 3.74/3.90      | ~ c_lessequals(X0,X1,X2)
% 3.74/3.90      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5595_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9302,plain,
% 3.74/3.90      ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) = X1
% 3.74/3.90      | ~ c_lessequals(X0,X1,X2)
% 3.74/3.90      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_836]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9303,plain,
% 3.74/3.90      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.74/3.90      | ~ c_lessequals(X1,X2,X0)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X2 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9302]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_833,plain,
% 3.74/3.90      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = X0
% 3.74/3.90      | ~ c_lessequals(X0,X1,X2)
% 3.74/3.90      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5596_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9296,plain,
% 3.74/3.90      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = X0
% 3.74/3.90      | ~ c_lessequals(X0,X1,X2)
% 3.74/3.90      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_833]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9297,plain,
% 3.74/3.90      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.74/3.90      | ~ c_lessequals(X1,X2,X0)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9296]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_830,plain,
% 3.74/3.90      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = X1
% 3.74/3.90      | ~ c_lessequals(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5597_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9290,plain,
% 3.74/3.90      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = X1
% 3.74/3.90      | ~ c_lessequals(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_830]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9291,plain,
% 3.74/3.90      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.74/3.90      | ~ c_lessequals(X1,X2,X0)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9290]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_827,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5598_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9284,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_827]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9285,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9284]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_824,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.90      | ~ class_Orderings_Opreorder(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5599_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9278,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.90      | ~ class_Orderings_Opreorder(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_824]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9279,plain,
% 3.74/3.90      ( ~ class_Orderings_Opreorder(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.90      | c_lessequals(X1,X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9278]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_821,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.90      | ~ class_Orderings_Oorder(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5600_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9272,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.90      | ~ class_Orderings_Oorder(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_821]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9273,plain,
% 3.74/3.90      ( ~ class_Orderings_Oorder(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.90      | c_lessequals(X1,X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9272]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_819,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5601_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9268,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_819]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9269,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9268]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_816,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5602_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9262,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_816]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9263,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9262]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_813,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5603_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9256,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_813]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9257,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9256]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_811,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5604_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9252,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_811]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9253,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9252]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_809,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5605_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9248,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_809]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9249,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9248]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_807,plain,
% 3.74/3.90      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5606_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9244,plain,
% 3.74/3.90      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_807]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9245,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9244]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_805,plain,
% 3.74/3.90      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.74/3.90      | ~ class_Lattices_Oboolean__algebra(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5607_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9240,plain,
% 3.74/3.90      ( c_Lattices_Olower__semilattice__class_Oinf(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.74/3.90      | ~ class_Lattices_Oboolean__algebra(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_805]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9241,plain,
% 3.74/3.90      ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9240]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_803,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X0,X1),X2,X1) = c_RealVector_OscaleR__class_OscaleR(X0,X2,X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5608_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9236,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X0,X1),X2,X1) = c_RealVector_OscaleR__class_OscaleR(X0,X2,X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_803]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9237,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),X2,X0) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9236]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_799,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5610_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9228,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_799]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9229,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9228]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_797,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5611_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9224,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_797]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9225,plain,
% 3.74/3.90      ( ~ class_Int_Onumber__ring(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9224]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_795,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.74/3.90      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5612_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9220,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 3.74/3.90      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_795]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9221,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9220]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_792,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5613_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9214,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_792]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9215,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.90      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9214]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_785,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 3.74/3.90      | ~ class_Orderings_Olinorder(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5615_3) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9200,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 3.74/3.90      | ~ class_Orderings_Olinorder(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_785]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9201,plain,
% 3.74/3.90      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9200]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_782,plain,
% 3.74/3.90      ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5616_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9194,plain,
% 3.74/3.90      ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_782]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9195,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9194]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_780,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5617_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9190,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_780]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9191,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 3.74/3.90      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9190]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_778,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5618_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9186,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_778]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9187,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9186]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_775,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.74/3.90      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5619_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9180,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.74/3.90      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_775]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9181,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9180]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_772,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5620_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9174,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_772]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9175,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oabs__if(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9174]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_769,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5621_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9168,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_769]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9169,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9168]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_766,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | c_NthRoot_Oroot(X1,X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5622_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9162,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | c_NthRoot_Oroot(X1,X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_766]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_764,plain,
% 3.74/3.90      ( 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)
% 3.74/3.90      | ~ class_RealVector_Oreal__vector(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5623_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9158,plain,
% 3.74/3.90      ( 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)
% 3.74/3.90      | ~ class_RealVector_Oreal__vector(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_764]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9159,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__vector(X0)
% 3.74/3.90      | 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) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9158]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_762,plain,
% 3.74/3.90      ( c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5624_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9154,plain,
% 3.74/3.90      ( c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_762]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9155,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9154]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_758,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5625_3) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9146,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Osgn__if(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_758]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9147,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9146]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_750,plain,
% 3.74/3.90      ( 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)
% 3.74/3.90      | ~ class_RealVector_Oreal__vector(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5627_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9130,plain,
% 3.74/3.90      ( 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)
% 3.74/3.90      | ~ class_RealVector_Oreal__vector(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_750]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9131,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__vector(X0)
% 3.74/3.90      | 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) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9130]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_747,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5628_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9124,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_747]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9125,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9124]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_744,plain,
% 3.74/3.90      ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5629_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9118,plain,
% 3.74/3.90      ( c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_744]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9119,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9118]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_741,plain,
% 3.74/3.90      ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5630_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9112,plain,
% 3.74/3.90      ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_741]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9113,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9112]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_738,plain,
% 3.74/3.90      ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5631_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9106,plain,
% 3.74/3.90      ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_738]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9107,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9106]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_725,plain,
% 3.74/3.90      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.90      | X1 = X2
% 3.74/3.90      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5635_0) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9080,plain,
% 3.74/3.90      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.90      | X1 = X2
% 3.74/3.90      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_725]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9081,plain,
% 3.74/3.90      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.74/3.90      | X2 = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9080]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_722,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.90      | X0 = X1
% 3.74/3.90      | ~ class_Orderings_Olinorder(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5635_3) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9074,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.90      | X0 = X1
% 3.74/3.90      | ~ class_Orderings_Olinorder(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_722]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9075,plain,
% 3.74/3.90      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.74/3.90      | X1 = X2 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9074]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_720,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.90      | X2 = X1
% 3.74/3.90      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5636_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9070,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.90      | X2 = X1
% 3.74/3.90      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_720]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9071,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.74/3.90      | X2 = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9070]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_715,plain,
% 3.74/3.90      ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1) = X0
% 3.74/3.90      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5637_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9060,plain,
% 3.74/3.90      ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1) = X0
% 3.74/3.90      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_715]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9061,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9060]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_712,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5638_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9054,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_712]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9055,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9054]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_709,plain,
% 3.74/3.90      ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1) = X0
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5639_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9048,plain,
% 3.74/3.90      ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1) = X0
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_709]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9049,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9048]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_706,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5640_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9042,plain,
% 3.74/3.90      ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_706]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9043,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9042]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_703,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | c_lessequals(X1,X0,X2)
% 3.74/3.90      | ~ class_Orderings_Olinorder(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5641_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9036,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | c_lessequals(X1,X0,X2)
% 3.74/3.90      | ~ class_Orderings_Olinorder(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_703]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9037,plain,
% 3.74/3.90      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.90      | c_lessequals(X1,X2,X0)
% 3.74/3.90      | c_lessequals(X2,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9036]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_694,plain,
% 3.74/3.90      ( c_lessequals(X0,X0,X1)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X0,X0,X1)
% 3.74/3.90      | ~ class_Orderings_Olinorder(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5644_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9018,plain,
% 3.74/3.90      ( c_lessequals(X0,X0,X1)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X0,X0,X1)
% 3.74/3.90      | ~ class_Orderings_Olinorder(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_694]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9019,plain,
% 3.74/3.90      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X1,X0)
% 3.74/3.90      | c_lessequals(X1,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9018]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_691,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.90      | ~ class_Orderings_Olinorder(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5645_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9012,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,X2)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.74/3.90      | ~ class_Orderings_Olinorder(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_691]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9013,plain,
% 3.74/3.90      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.74/3.90      | c_lessequals(X2,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9012]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_689,plain,
% 3.74/3.90      ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5646_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9008,plain,
% 3.74/3.90      ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_689]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9009,plain,
% 3.74/3.90      ( ~ class_Lattices_Olattice(X0)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9008]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_687,plain,
% 3.74/3.90      ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5647_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9004,plain,
% 3.74/3.90      ( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_687]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9005,plain,
% 3.74/3.90      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9004]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_685,plain,
% 3.74/3.90      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5648_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9000,plain,
% 3.74/3.90      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Olattice(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_685]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_9001,plain,
% 3.74/3.90      ( ~ class_Lattices_Olattice(X0)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_9000]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_683,plain,
% 3.74/3.90      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5649_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8996,plain,
% 3.74/3.90      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2)
% 3.74/3.90      | ~ class_Lattices_Olower__semilattice(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_683]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8997,plain,
% 3.74/3.90      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.74/3.90      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8996]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_681,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 3.74/3.90      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5650_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8992,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 3.74/3.90      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_681]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8993,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8992]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_677,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5652_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8984,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_677]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8985,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8984]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_673,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5654_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8976,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_673]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8977,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8976]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_671,plain,
% 3.74/3.90      ( c_RealVector_Odist__class_Odist(X0,X1,X2) = c_RealVector_Odist__class_Odist(X1,X0,X2)
% 3.74/3.90      | ~ class_RealVector_Ometric__space(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5655_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8972,plain,
% 3.74/3.90      ( c_RealVector_Odist__class_Odist(X0,X1,X2) = c_RealVector_Odist__class_Odist(X1,X0,X2)
% 3.74/3.90      | ~ class_RealVector_Ometric__space(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_671]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8973,plain,
% 3.74/3.90      ( ~ class_RealVector_Ometric__space(X0)
% 3.74/3.90      | c_RealVector_Odist__class_Odist(X1,X2,X0) = c_RealVector_Odist__class_Odist(X2,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8972]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_668,plain,
% 3.74/3.90      ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5656_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8966,plain,
% 3.74/3.90      ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_668]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8967,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8966]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_665,plain,
% 3.74/3.90      ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5657_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8960,plain,
% 3.74/3.90      ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_665]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8961,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.90      | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8960]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_663,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5658_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8956,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_663]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8957,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8956]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_661,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1) = X0
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5659_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8952,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1) = X0
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_661]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8953,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8952]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_658,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5660_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8946,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_658]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8947,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.74/3.90      | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8946]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_656,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5661_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8942,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_656]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8943,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8942]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_654,plain,
% 3.74/3.90      ( 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)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5662_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8938,plain,
% 3.74/3.90      ( 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)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_654]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8939,plain,
% 3.74/3.90      ( ~ class_Int_Onumber__ring(X0)
% 3.74/3.90      | 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) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8938]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_652,plain,
% 3.74/3.90      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5664_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8934,plain,
% 3.74/3.90      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_652]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8935,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.74/3.90      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8934]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_650,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5665_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8930,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_650]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8931,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8930]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_645,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5667_0) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8920,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_645]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_642,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5667_3) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8914,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_642]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8915,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8914]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_641,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5668_0) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8912,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_641]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_638,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5668_3) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8906,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_638]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8907,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8906]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_634,plain,
% 3.74/3.90      ( X0 = X1
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5669_3) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8898,plain,
% 3.74/3.90      ( X0 = X1
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Oidom(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_634]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8899,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X0)
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = X2 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8898]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_630,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | c_RealVector_OscaleR__class_OscaleR(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ class_RealVector_Oreal__vector(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5670_3) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8890,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | c_RealVector_OscaleR__class_OscaleR(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ class_RealVector_Oreal__vector(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_630]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8891,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__vector(X0)
% 3.74/3.90      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8890]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_627,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5671_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8884,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_627]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8885,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.90      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8884]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_624,plain,
% 3.74/3.90      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.90      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5672_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8878,plain,
% 3.74/3.90      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.90      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_624]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8879,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.90      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.90      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8878]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_613,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 3.74/3.90      | ~ class_Int_Onumber__ring(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5675_3) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8856,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 3.74/3.90      | ~ class_Int_Onumber__ring(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_613]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8857,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8856]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_609,plain,
% 3.74/3.90      ( X0 = X1
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5676_3) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8848,plain,
% 3.74/3.90      ( X0 = X1
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_609]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8849,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.90      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 3.74/3.90      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = X2 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8848]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_607,plain,
% 3.74/3.90      ( c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X0
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5677_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8844,plain,
% 3.74/3.90      ( c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X0
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_607]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8845,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.90      | c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X0 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8844]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_605,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.74/3.90      | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5678_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8840,plain,
% 3.74/3.90      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 3.74/3.90      | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_605]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_602,plain,
% 3.74/3.90      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5679_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8834,plain,
% 3.74/3.90      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_602]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8835,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.90      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8834]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_600,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5680_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8830,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_600]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8831,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8830]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_597,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5682_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8824,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_597]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8825,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8824]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_594,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5683_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8818,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_594]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8819,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 3.74/3.90      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8818]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_592,plain,
% 3.74/3.90      ( c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5684_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8814,plain,
% 3.74/3.90      ( c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.90      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_592]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8815,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8814]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_587,plain,
% 3.74/3.90      ( 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)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5686_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8804,plain,
% 3.74/3.90      ( 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)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_587]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8805,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.90      | 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) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8804]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_584,plain,
% 3.74/3.90      ( X0 = X1
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5687_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8798,plain,
% 3.74/3.90      ( X0 = X1
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_584]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8799,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = X2 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8798]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_581,plain,
% 3.74/3.90      ( X0 = X1
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5688_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8792,plain,
% 3.74/3.90      ( X0 = X1
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 3.74/3.90      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_581]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8793,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | X1 = X2 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8792]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_579,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5689_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8788,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_579]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8789,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8788]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_577,plain,
% 3.74/3.90      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5690_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8784,plain,
% 3.74/3.90      ( c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_577]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8785,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.74/3.90      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8784]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_574,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5691_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8778,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_574]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8779,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8778]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_572,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.90      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5692_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8774,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.90      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_572]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_569,plain,
% 3.74/3.90      ( X0 = X1
% 3.74/3.90      | c_RealVector_Odist__class_Odist(X0,X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Ometric__space(X2) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5693_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8768,plain,
% 3.74/3.90      ( X0 = X1
% 3.74/3.90      | c_RealVector_Odist__class_Odist(X0,X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Ometric__space(X2) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_569]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8769,plain,
% 3.74/3.90      ( ~ class_RealVector_Ometric__space(X0)
% 3.74/3.90      | c_RealVector_Odist__class_Odist(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.90      | X1 = X2 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8768]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_566,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5694_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8762,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_566]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8763,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8762]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_563,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5695_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8756,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_563]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8757,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8756]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_560,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5696_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8750,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_560]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8751,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8750]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_557,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5697_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8744,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_557]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8745,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8744]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_554,plain,
% 3.74/3.90      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5698_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8738,plain,
% 3.74/3.90      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_554]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8739,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8738]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_551,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5699_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8732,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_551]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8733,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8732]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_548,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5700_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8726,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_548]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8727,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8726]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_537,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5704_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8704,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_537]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8705,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8704]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_535,plain,
% 3.74/3.90      ( c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5705_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8700,plain,
% 3.74/3.90      ( c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_535]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8701,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8700]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_533,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5706_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8696,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_533]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8697,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8696]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_531,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5707_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8692,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_531]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8693,plain,
% 3.74/3.90      ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8692]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_529,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5708_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8688,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_529]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8689,plain,
% 3.74/3.90      ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8688]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_527,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5709_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8684,plain,
% 3.74/3.90      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_527]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8685,plain,
% 3.74/3.90      ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8684]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_521,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5711_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8672,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_521]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8673,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.74/3.90      | 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)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8672]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_518,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | 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)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5712_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8666,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | 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)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_518]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8667,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.74/3.90      | 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)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8666]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_515,plain,
% 3.74/3.90      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1) != X0
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5713_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8660,plain,
% 3.74/3.90      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1) != X0
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_515]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8661,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8660]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_512,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != X1
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5714_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8654,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != X1
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_512]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8655,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.74/3.90      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8654]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_508,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5716_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8646,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_508]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8647,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8646]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_506,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5717_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8642,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_506]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8643,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8642]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_504,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5718_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8638,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_504]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8639,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8638]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_498,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X0,X1),X1) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__div__algebra(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5720_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8626,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X0,X1),X1) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__div__algebra(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_498]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8627,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.74/3.90      | ~ class_RealVector_Oreal__div__algebra(X0)
% 3.74/3.90      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8626]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_495,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5721_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8620,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_495]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8621,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 3.74/3.90      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8620]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_491,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 3.74/3.90      | ~ class_Orderings_Olinorder(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5722_3) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8612,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 3.74/3.90      | ~ class_Orderings_Olinorder(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_491]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8613,plain,
% 3.74/3.90      ( ~ class_Orderings_Olinorder(X0)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8612]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_489,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5723_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8608,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_489]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8609,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.90      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8608]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_486,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5724_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8602,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_486]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8603,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X0)
% 3.74/3.90      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8602]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_480,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.90      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X0,X1),X1) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__div__algebra(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5726_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8590,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.90      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X0,X1),X1) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__div__algebra(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_480]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8591,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 3.74/3.90      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X0)
% 3.74/3.90      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8590]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_478,plain,
% 3.74/3.90      ( c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5727_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8586,plain,
% 3.74/3.90      ( c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_478]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8587,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.90      | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8586]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_476,plain,
% 3.74/3.90      ( c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),X1) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5728_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8582,plain,
% 3.74/3.90      ( c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),X1) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_476]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8583,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8582]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_474,plain,
% 3.74/3.90      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5729_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8578,plain,
% 3.74/3.90      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_474]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8579,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.90      | 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) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8578]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_472,plain,
% 3.74/3.90      ( c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5730_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8574,plain,
% 3.74/3.90      ( c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_472]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8575,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8574]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_464,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.90      | c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X0 ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5734_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8558,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 3.74/3.90      | c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X0 ),
% 3.74/3.90      inference(copy,[status(esa)],[c_464]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_462,plain,
% 3.74/3.90      ( c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X0,X1),X1) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal),X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5735_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8554,plain,
% 3.74/3.90      ( c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X0,X1),X1) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal),X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_462]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8555,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 3.74/3.90      | c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8554]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_460,plain,
% 3.74/3.90      ( c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X0,X1),X1) = c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5736_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8550,plain,
% 3.74/3.90      ( c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X0,X1),X1) = c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_460]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8551,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 3.74/3.90      | 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) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8550]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_457,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.74/3.90      | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5738_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8544,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 3.74/3.90      | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_457]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8545,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oabs__if(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.74/3.90      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8544]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_455,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5741_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8540,plain,
% 3.74/3.90      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.90      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_455]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8541,plain,
% 3.74/3.90      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.90      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8540]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_453,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5742_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8536,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_453]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8537,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.90      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8536]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_451,plain,
% 3.74/3.90      ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5743_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8532,plain,
% 3.74/3.90      ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 3.74/3.90      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_451]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8533,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8532]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_449,plain,
% 3.74/3.90      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oone__class_Oone(X1),X1) = c_RealVector_Oof__real(X0,X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5744_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8528,plain,
% 3.74/3.90      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oone__class_Oone(X1),X1) = c_RealVector_Oof__real(X0,X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_449]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8529,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 3.74/3.90      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X0),X0) = c_RealVector_Oof__real(X1,X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8528]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_434,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5750_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8498,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_434]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8499,plain,
% 3.74/3.90      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8498]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_431,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.90      | ~ class_Int_Onumber__ring(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5751_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8492,plain,
% 3.74/3.90      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.90      | ~ class_Int_Onumber__ring(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_431]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8493,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X0)
% 3.74/3.90      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8492]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_429,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5753_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8488,plain,
% 3.74/3.90      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_429]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8489,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.74/3.90      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8488]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_427,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5754_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8484,plain,
% 3.74/3.90      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_427]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8485,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.74/3.90      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8484]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_424,plain,
% 3.74/3.90      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5755_2) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8478,plain,
% 3.74/3.90      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X1)
% 3.74/3.90      | ~ class_Ring__and__Field_Oidom(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_424]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8479,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Oidom(X0)
% 3.74/3.90      | ~ class_Int_Onumber__ring(X0)
% 3.74/3.90      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8478]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_422,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5756_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8474,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__field(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_422]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8475,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.74/3.90      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8474]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_420,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5757_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8470,plain,
% 3.74/3.90      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_Ring__and__Field_Ofield(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_420]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8471,plain,
% 3.74/3.90      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.90      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8470]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_418,plain,
% 3.74/3.90      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__vector(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5758_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8466,plain,
% 3.74/3.90      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__vector(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_418]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8467,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__vector(X0)
% 3.74/3.90      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8466]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_416,plain,
% 3.74/3.90      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5759_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8462,plain,
% 3.74/3.90      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.90      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_416]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8463,plain,
% 3.74/3.90      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.90      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8462]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_414,plain,
% 3.74/3.90      ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_Divides_Osemiring__div(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5760_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8458,plain,
% 3.74/3.90      ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_Divides_Osemiring__div(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_414]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8459,plain,
% 3.74/3.90      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.90      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.90      inference(rewriting,[status(thm)],[c_8458]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_412,plain,
% 3.74/3.90      ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_Divides_Osemiring__div(X0) ),
% 3.74/3.90      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5761_1) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8454,plain,
% 3.74/3.90      ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.90      | ~ class_Divides_Osemiring__div(X0) ),
% 3.74/3.90      inference(copy,[status(esa)],[c_412]) ).
% 3.74/3.90  
% 3.74/3.90  cnf(c_8455,plain,
% 3.74/3.90      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.90      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8454]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_410,plain,
% 3.74/3.91      ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5762_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8450,plain,
% 3.74/3.91      ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_410]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8451,plain,
% 3.74/3.91      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.91      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8450]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_406,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5764_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8442,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_406]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8443,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8442]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_402,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5766_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8434,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_402]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8435,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8434]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_398,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5768_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8426,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_398]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8427,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8426]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_396,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5769_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8422,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_396]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8423,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8422]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_394,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5770_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8418,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_394]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8419,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8418]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_392,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5771_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8414,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_392]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8415,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8414]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_390,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5772_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8410,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_390]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8411,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8410]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_388,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5773_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8406,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_388]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8407,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8406]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_386,plain,
% 3.74/3.91      ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5774_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8402,plain,
% 3.74/3.91      ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_386]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8403,plain,
% 3.74/3.91      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.91      | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8402]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_384,plain,
% 3.74/3.91      ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5775_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8398,plain,
% 3.74/3.91      ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_384]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8399,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.74/3.91      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8398]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_378,plain,
% 3.74/3.91      ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.91      | X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5777_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8386,plain,
% 3.74/3.91      ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.91      | X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_378]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8387,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.91      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8386]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_375,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5778_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8380,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_375]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8381,plain,
% 3.74/3.91      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.91      | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8380]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_373,plain,
% 3.74/3.91      ( c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a)
% 3.74/3.91      | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5779_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8376,plain,
% 3.74/3.91      ( c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a)
% 3.74/3.91      | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_373]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8377,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 3.74/3.91      | c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8376]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_371,plain,
% 3.74/3.91      ( c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a)
% 3.74/3.91      | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5780_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8372,plain,
% 3.74/3.91      ( c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a)
% 3.74/3.91      | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_371]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8373,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 3.74/3.91      | c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8372]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_369,plain,
% 3.74/3.91      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__vector(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5781_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8368,plain,
% 3.74/3.91      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__vector(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_369]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8369,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__vector(X0)
% 3.74/3.91      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8368]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_367,plain,
% 3.74/3.91      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5782_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8364,plain,
% 3.74/3.91      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_367]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8365,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.91      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8364]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_363,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5784_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8356,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_363]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8357,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.91      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8356]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_361,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5785_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8352,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_361]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8353,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.74/3.91      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8352]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_359,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5786_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8348,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_359]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8349,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.91      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8348]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_357,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5787_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8344,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_357]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8345,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.74/3.91      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8344]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_355,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5788_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8340,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_355]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8341,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.74/3.91      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8340]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_353,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5789_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8336,plain,
% 3.74/3.91      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_353]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8337,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.74/3.91      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8336]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_351,plain,
% 3.74/3.91      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5790_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8332,plain,
% 3.74/3.91      ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_351]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8333,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.91      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8332]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_349,plain,
% 3.74/3.91      ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5791_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8328,plain,
% 3.74/3.91      ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_349]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8329,plain,
% 3.74/3.91      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.91      | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8328]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_347,plain,
% 3.74/3.91      ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5792_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8324,plain,
% 3.74/3.91      ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_347]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8325,plain,
% 3.74/3.91      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.91      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8324]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_343,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5794_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8316,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_343]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8317,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8316]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_341,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5795_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8312,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_341]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8313,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8312]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_339,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5796_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8308,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_339]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8309,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8308]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_337,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5797_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8304,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 3.74/3.91      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_337]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8305,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8304]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_335,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5798_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8300,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_335]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8301,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8300]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_333,plain,
% 3.74/3.91      ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.74/3.91      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5799_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8296,plain,
% 3.74/3.91      ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 3.74/3.91      | ~ class_Ring__and__Field_Ofield(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_333]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8297,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ofield(X0)
% 3.74/3.91      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8296]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_331,plain,
% 3.74/3.91      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5800_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8292,plain,
% 3.74/3.91      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_331]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8293,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.91      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8292]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_329,plain,
% 3.74/3.91      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5801_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8288,plain,
% 3.74/3.91      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_329]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8289,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.91      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8288]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_325,plain,
% 3.74/3.91      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5803_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8280,plain,
% 3.74/3.91      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_325]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8281,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.91      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8280]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_323,plain,
% 3.74/3.91      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5804_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8276,plain,
% 3.74/3.91      ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_323]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8277,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.74/3.91      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8276]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_321,plain,
% 3.74/3.91      ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5805_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8272,plain,
% 3.74/3.91      ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Divides_Osemiring__div(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_321]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8273,plain,
% 3.74/3.91      ( ~ class_Divides_Osemiring__div(X0)
% 3.74/3.91      | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8272]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_319,plain,
% 3.74/3.91      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,X1) = X0
% 3.74/3.91      | ~ class_RealVector_Oreal__vector(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5806_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8268,plain,
% 3.74/3.91      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,X1) = X0
% 3.74/3.91      | ~ class_RealVector_Oreal__vector(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_319]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8269,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__vector(X0)
% 3.74/3.91      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8268]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_314,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | X0 = X2
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5807_4) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8258,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | X0 = X2
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_314]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8259,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | X1 = X2 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8258]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_312,plain,
% 3.74/3.91      ( c_RealVector_Odist__class_Odist(X0,X0,X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | ~ class_RealVector_Ometric__space(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5808_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8254,plain,
% 3.74/3.91      ( c_RealVector_Odist__class_Odist(X0,X0,X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | ~ class_RealVector_Ometric__space(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_312]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8255,plain,
% 3.74/3.91      ( ~ class_RealVector_Ometric__space(X0)
% 3.74/3.91      | c_RealVector_Odist__class_Odist(X1,X1,X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8254]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_310,plain,
% 3.74/3.91      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X0,X1) = X0
% 3.74/3.91      | ~ class_Lattices_Olower__semilattice(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5809_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8250,plain,
% 3.74/3.91      ( c_Lattices_Olower__semilattice__class_Oinf(X0,X0,X1) = X0
% 3.74/3.91      | ~ class_Lattices_Olower__semilattice(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_310]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8251,plain,
% 3.74/3.91      ( ~ class_Lattices_Olower__semilattice(X0)
% 3.74/3.91      | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8250]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_308,plain,
% 3.74/3.91      ( c_Lattices_Oupper__semilattice__class_Osup(X0,X0,X1) = X0
% 3.74/3.91      | ~ class_Lattices_Oupper__semilattice(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5810_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8246,plain,
% 3.74/3.91      ( c_Lattices_Oupper__semilattice__class_Osup(X0,X0,X1) = X0
% 3.74/3.91      | ~ class_Lattices_Oupper__semilattice(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_308]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8247,plain,
% 3.74/3.91      ( ~ class_Lattices_Oupper__semilattice(X0)
% 3.74/3.91      | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8246]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_306,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5811_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8242,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_306]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8243,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.74/3.91      | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8242]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_304,plain,
% 3.74/3.91      ( 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)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5814_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8238,plain,
% 3.74/3.91      ( 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)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_304]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8239,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.91      | 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) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8238]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_302,plain,
% 3.74/3.91      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5815_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8234,plain,
% 3.74/3.91      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_302]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8235,plain,
% 3.74/3.91      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8234]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_300,plain,
% 3.74/3.91      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5816_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8230,plain,
% 3.74/3.91      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_300]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8231,plain,
% 3.74/3.91      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8230]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_298,plain,
% 3.74/3.91      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5817_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8226,plain,
% 3.74/3.91      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_298]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8227,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.74/3.91      | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8226]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_296,plain,
% 3.74/3.91      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5819_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8222,plain,
% 3.74/3.91      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_296]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8223,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.91      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8222]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_294,plain,
% 3.74/3.91      ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.74/3.91      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5820_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8218,plain,
% 3.74/3.91      ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.74/3.91      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_294]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8219,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.91      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8218]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_292,plain,
% 3.74/3.91      ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.74/3.91      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5821_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8214,plain,
% 3.74/3.91      ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 3.74/3.91      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_292]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8215,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.91      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8214]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_290,plain,
% 3.74/3.91      ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5822_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8210,plain,
% 3.74/3.91      ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_290]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8211,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8210]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_280,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5826_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8190,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_280]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8191,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.91      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8190]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_277,plain,
% 3.74/3.91      ( X0 = X1
% 3.74/3.91      | c_RealVector_Oof__real(X0,X2) != c_RealVector_Oof__real(X1,X2)
% 3.74/3.91      | ~ class_RealVector_Oreal__algebra__1(X2) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5831_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8184,plain,
% 3.74/3.91      ( X0 = X1
% 3.74/3.91      | c_RealVector_Oof__real(X0,X2) != c_RealVector_Oof__real(X1,X2)
% 3.74/3.91      | ~ class_RealVector_Oreal__algebra__1(X2) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_277]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8185,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 3.74/3.91      | c_RealVector_Oof__real(X1,X0) != c_RealVector_Oof__real(X2,X0)
% 3.74/3.91      | X1 = X2 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8184]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_274,plain,
% 3.74/3.91      ( X0 = X1
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5832_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8178,plain,
% 3.74/3.91      ( X0 = X1
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_274]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8179,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.74/3.91      | X1 = X2 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8178]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_271,plain,
% 3.74/3.91      ( X0 = X1
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.74/3.91      | ~ class_Lattices_Oboolean__algebra(X2) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5833_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8172,plain,
% 3.74/3.91      ( X0 = X1
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 3.74/3.91      | ~ class_Lattices_Oboolean__algebra(X2) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_271]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8173,plain,
% 3.74/3.91      ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.74/3.91      | X1 = X2 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8172]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_268,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 3.74/3.91      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5834_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8166,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 3.74/3.91      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_268]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8167,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8166]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_256,plain,
% 3.74/3.91      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 3.74/3.91      | ~ class_Lattices_Oboolean__algebra(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5840_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8142,plain,
% 3.74/3.91      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 3.74/3.91      | ~ class_Lattices_Oboolean__algebra(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_256]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8143,plain,
% 3.74/3.91      ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8142]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_250,plain,
% 3.74/3.91      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5843_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8130,plain,
% 3.74/3.91      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_250]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8131,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8130]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_244,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5850_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8118,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_244]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8119,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8118]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_241,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5851_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8112,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_241]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8113,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8112]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_238,plain,
% 3.74/3.91      ( c_HOL_Ozero__class_Ozero(X0) = X1
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5852_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8106,plain,
% 3.74/3.91      ( c_HOL_Ozero__class_Ozero(X0) = X1
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_238]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8107,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.91      | c_HOL_Ozero__class_Ozero(X0) = X1
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8106]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_235,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5853_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8100,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_235]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8101,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8100]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_232,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5854_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8094,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_232]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8095,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8094]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_229,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5855_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8088,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_229]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8089,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.91      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8088]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_226,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | c_RealVector_Oof__real(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5856_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8082,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | c_RealVector_Oof__real(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_226]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8083,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 3.74/3.91      | c_RealVector_Oof__real(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8082]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_223,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_RealVector_Onorm__class_Onorm(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5857_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8076,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_RealVector_Onorm__class_Onorm(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_223]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8077,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.91      | c_RealVector_Onorm__class_Onorm(X1,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8076]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_211,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 3.74/3.91      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5861_2) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8052,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 3.74/3.91      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_211]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8053,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 3.74/3.91      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8052]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_206,plain,
% 3.74/3.91      ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5863_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8042,plain,
% 3.74/3.91      ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_206]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8043,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.74/3.91      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8042]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_204,plain,
% 3.74/3.91      ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5864_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8038,plain,
% 3.74/3.91      ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_204]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8039,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.91      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8038]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_202,plain,
% 3.74/3.91      ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5865_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8034,plain,
% 3.74/3.91      ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_202]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8035,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.74/3.91      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8034]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_200,plain,
% 3.74/3.91      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5866_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8030,plain,
% 3.74/3.91      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_200]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8031,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8030]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_198,plain,
% 3.74/3.91      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5867_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8026,plain,
% 3.74/3.91      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_198]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8027,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8026]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_196,plain,
% 3.74/3.91      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5868_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8022,plain,
% 3.74/3.91      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_196]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8023,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8022]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_194,plain,
% 3.74/3.91      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5869_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8018,plain,
% 3.74/3.91      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_194]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8019,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8018]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_190,plain,
% 3.74/3.91      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5871_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8010,plain,
% 3.74/3.91      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_190]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8011,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8010]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_188,plain,
% 3.74/3.91      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5872_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8006,plain,
% 3.74/3.91      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_188]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8007,plain,
% 3.74/3.91      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.74/3.91      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8006]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_186,plain,
% 3.74/3.91      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5873_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8002,plain,
% 3.74/3.91      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_186]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_8003,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.74/3.91      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_8002]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_184,plain,
% 3.74/3.91      ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5874_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7998,plain,
% 3.74/3.91      ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_184]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7999,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 3.74/3.91      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_7998]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_182,plain,
% 3.74/3.91      ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5875_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7994,plain,
% 3.74/3.91      ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_182]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7995,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.74/3.91      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_7994]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_180,plain,
% 3.74/3.91      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5877_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7990,plain,
% 3.74/3.91      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_180]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7991,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 3.74/3.91      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_7990]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_178,plain,
% 3.74/3.91      ( c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5878_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7986,plain,
% 3.74/3.91      ( c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.91      | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_178]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7987,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 3.74/3.91      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_7986]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_176,plain,
% 3.74/3.91      ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5879_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7982,plain,
% 3.74/3.91      ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_176]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7983,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 3.74/3.91      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_7982]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_174,plain,
% 3.74/3.91      ( c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5880_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7978,plain,
% 3.74/3.91      ( c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0)
% 3.74/3.91      | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_174]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7979,plain,
% 3.74/3.91      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 3.74/3.91      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_7978]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_170,plain,
% 3.74/3.91      ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5883_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7970,plain,
% 3.74/3.91      ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.74/3.91      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_170]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7971,plain,
% 3.74/3.91      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.74/3.91      | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_7970]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_168,plain,
% 3.74/3.91      ( c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5890_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7966,plain,
% 3.74/3.91      ( c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_168]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_166,plain,
% 3.74/3.91      ( X0 = X1 | c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5891_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7962,plain,
% 3.74/3.91      ( X0 = X1 | c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_166]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7963,plain,
% 3.74/3.91      ( c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) | X0 = X1 ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_7962]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_164,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5893_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7958,plain,
% 3.74/3.91      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_164]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7959,plain,
% 3.74/3.91      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.74/3.91      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_7958]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_162,plain,
% 3.74/3.91      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.91      | c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5894_1) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7954,plain,
% 3.74/3.91      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.91      | c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_162]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7955,plain,
% 3.74/3.91      ( c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 3.74/3.91      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(rewriting,[status(thm)],[c_7954]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_161,plain,
% 3.74/3.91      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5317_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7952,plain,
% 3.74/3.91      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_161]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_160,plain,
% 3.74/3.91      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5732_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7950,plain,
% 3.74/3.91      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_160]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_159,plain,
% 3.74/3.91      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5737_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7948,plain,
% 3.74/3.91      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_159]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_158,plain,
% 3.74/3.91      ( c_Log_Opowr(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5881_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7946,plain,
% 3.74/3.91      ( c_Log_Opowr(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_158]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_157,plain,
% 3.74/3.91      ( c_Transcendental_Ocos(c_Transcendental_Oarctan(X0)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5884_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7944,plain,
% 3.74/3.91      ( c_Transcendental_Ocos(c_Transcendental_Oarctan(X0)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_157]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_156,plain,
% 3.74/3.91      ( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5903_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7942,plain,
% 3.74/3.91      ( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_156]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_155,plain,
% 3.74/3.91      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Opi ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5906_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7940,plain,
% 3.74/3.91      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Opi ),
% 3.74/3.91      inference(copy,[status(esa)],[c_155]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_154,plain,
% 3.74/3.91      ( 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) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5112_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7938,plain,
% 3.74/3.91      ( 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) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_154]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_149,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5681_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7932,plain,
% 3.74/3.91      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_149]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_148,plain,
% 3.74/3.91      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5739_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7930,plain,
% 3.74/3.91      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_148]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_147,plain,
% 3.74/3.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5740_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7928,plain,
% 3.74/3.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_147]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_146,plain,
% 3.74/3.91      ( c_Log_Opowr(c_Log_Opowr(X0,X1),X2) = c_Log_Opowr(c_Log_Opowr(X0,X2),X1) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5745_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7926,plain,
% 3.74/3.91      ( c_Log_Opowr(c_Log_Opowr(X0,X1),X2) = c_Log_Opowr(c_Log_Opowr(X0,X2),X1) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_146]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_144,plain,
% 3.74/3.91      ( c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5812_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7923,plain,
% 3.74/3.91      ( c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_144]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_143,plain,
% 3.74/3.91      ( c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5813_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7921,plain,
% 3.74/3.91      ( c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 3.74/3.91      inference(copy,[status(esa)],[c_143]) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_139,plain,
% 3.74/3.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
% 3.74/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5828_0) ).
% 3.74/3.91  
% 3.74/3.91  cnf(c_7915,plain,
% 3.74/3.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_139]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_138,plain,
% 3.78/3.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5829_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7913,plain,
% 3.78/3.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_138]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_137,plain,
% 3.78/3.91      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5830_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7911,plain,
% 3.78/3.91      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_137]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_136,plain,
% 3.78/3.91      ( c_lessequals(X0,X0,tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5835_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7909,plain,
% 3.78/3.91      ( c_lessequals(X0,X0,tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_136]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_135,plain,
% 3.78/3.91      ( c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5836_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7907,plain,
% 3.78/3.91      ( c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_135]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_112,plain,
% 3.78/3.91      ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5907_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7883,plain,
% 3.78/3.91      ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_112]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_111,plain,
% 3.78/3.91      ( class_Power_Opower(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5908_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7881,plain,
% 3.78/3.91      ( class_Power_Opower(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_111]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_110,plain,
% 3.78/3.91      ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5909_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7879,plain,
% 3.78/3.91      ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_110]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_109,plain,
% 3.78/3.91      ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5910_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7877,plain,
% 3.78/3.91      ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_109]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_108,plain,
% 3.78/3.91      ( class_Lattices_Olattice(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5911_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7875,plain,
% 3.78/3.91      ( class_Lattices_Olattice(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_108]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_107,plain,
% 3.78/3.91      ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5912_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7873,plain,
% 3.78/3.91      ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_107]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_106,plain,
% 3.78/3.91      ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5913_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7871,plain,
% 3.78/3.91      ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_106]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_105,plain,
% 3.78/3.91      ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5914_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7869,plain,
% 3.78/3.91      ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_105]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_104,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5915_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7867,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_104]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_103,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5916_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7865,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_103]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_102,plain,
% 3.78/3.91      ( class_RealVector_Odist__norm(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5917_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7863,plain,
% 3.78/3.91      ( class_RealVector_Odist__norm(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_102]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_101,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5918_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7861,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_101]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_100,plain,
% 3.78/3.91      ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5919_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7859,plain,
% 3.78/3.91      ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_100]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_99,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5920_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7857,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_99]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_98,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5921_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7855,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_98]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_97,plain,
% 3.78/3.91      ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5922_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7853,plain,
% 3.78/3.91      ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_97]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_96,plain,
% 3.78/3.91      ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5923_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7851,plain,
% 3.78/3.91      ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_96]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_95,plain,
% 3.78/3.91      ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5924_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7849,plain,
% 3.78/3.91      ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_95]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_94,plain,
% 3.78/3.91      ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5925_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7847,plain,
% 3.78/3.91      ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_94]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_93,plain,
% 3.78/3.91      ( class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5926_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7845,plain,
% 3.78/3.91      ( class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_93]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_92,plain,
% 3.78/3.91      ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5927_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7843,plain,
% 3.78/3.91      ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_92]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_91,plain,
% 3.78/3.91      ( class_RealVector_Osgn__div__norm(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5928_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7841,plain,
% 3.78/3.91      ( class_RealVector_Osgn__div__norm(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_91]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_90,plain,
% 3.78/3.91      ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5929_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7839,plain,
% 3.78/3.91      ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_90]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_89,plain,
% 3.78/3.91      ( class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5930_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7837,plain,
% 3.78/3.91      ( class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_89]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_88,plain,
% 3.78/3.91      ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5931_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7835,plain,
% 3.78/3.91      ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_88]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_87,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5932_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7833,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_87]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_86,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5933_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7831,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_86]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_85,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5934_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7829,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_85]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_84,plain,
% 3.78/3.91      ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5935_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7827,plain,
% 3.78/3.91      ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_84]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_83,plain,
% 3.78/3.91      ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5936_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7825,plain,
% 3.78/3.91      ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_83]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_82,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5937_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7823,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_82]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_81,plain,
% 3.78/3.91      ( class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5938_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7821,plain,
% 3.78/3.91      ( class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_81]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_80,plain,
% 3.78/3.91      ( class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5939_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7819,plain,
% 3.78/3.91      ( class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_80]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_79,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5940_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7817,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_79]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_78,plain,
% 3.78/3.91      ( class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5941_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7815,plain,
% 3.78/3.91      ( class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_78]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_77,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5942_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7813,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_77]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_76,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5943_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7811,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_76]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_75,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5944_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7809,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_75]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_74,plain,
% 3.78/3.91      ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5945_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7807,plain,
% 3.78/3.91      ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_74]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_73,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5946_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7805,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_73]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_72,plain,
% 3.78/3.91      ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5947_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7803,plain,
% 3.78/3.91      ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_72]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_71,plain,
% 3.78/3.91      ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5948_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7801,plain,
% 3.78/3.91      ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_71]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_70,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5949_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7799,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_70]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_69,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5950_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7797,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_69]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_68,plain,
% 3.78/3.91      ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5951_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7795,plain,
% 3.78/3.91      ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_68]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_67,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5952_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7793,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_67]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_66,plain,
% 3.78/3.91      ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5953_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7791,plain,
% 3.78/3.91      ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_66]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_65,plain,
% 3.78/3.91      ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5954_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7789,plain,
% 3.78/3.91      ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_65]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_64,plain,
% 3.78/3.91      ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5955_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7787,plain,
% 3.78/3.91      ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_64]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_63,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5956_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7785,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_63]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_62,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5957_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7783,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_62]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_61,plain,
% 3.78/3.91      ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5958_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7781,plain,
% 3.78/3.91      ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_61]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_60,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5959_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7779,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_60]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_59,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5960_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7777,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_59]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_58,plain,
% 3.78/3.91      ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5961_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7775,plain,
% 3.78/3.91      ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_58]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_57,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5962_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7773,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_57]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_56,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5963_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7771,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_56]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_55,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5964_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7769,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_55]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_54,plain,
% 3.78/3.91      ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5965_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7767,plain,
% 3.78/3.91      ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_54]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_53,plain,
% 3.78/3.91      ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5966_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7765,plain,
% 3.78/3.91      ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_53]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_52,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5967_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7763,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_52]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_51,plain,
% 3.78/3.91      ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5968_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7761,plain,
% 3.78/3.91      ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_51]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_50,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5969_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7759,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_50]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_49,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5970_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7757,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_49]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_48,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5971_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7755,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_48]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_47,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5972_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7753,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_47]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_46,plain,
% 3.78/3.91      ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5973_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7751,plain,
% 3.78/3.91      ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_46]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_45,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5974_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7749,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_45]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_44,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5975_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7747,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_44]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_43,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5976_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7745,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_43]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_42,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5977_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7743,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_42]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_41,plain,
% 3.78/3.91      ( class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5978_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7741,plain,
% 3.78/3.91      ( class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_41]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_40,plain,
% 3.78/3.91      ( class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5979_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7739,plain,
% 3.78/3.91      ( class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_40]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_39,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5980_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7737,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_39]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_38,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5981_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7735,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_38]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_37,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5982_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7733,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_37]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_36,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5983_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7731,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_36]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_35,plain,
% 3.78/3.91      ( class_Power_Opower(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5984_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7729,plain,
% 3.78/3.91      ( class_Power_Opower(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_35]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_34,plain,
% 3.78/3.91      ( class_Orderings_Oorder(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5985_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7727,plain,
% 3.78/3.91      ( class_Orderings_Oorder(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_34]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_33,plain,
% 3.78/3.91      ( class_Lattices_Olattice(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5986_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7725,plain,
% 3.78/3.91      ( class_Lattices_Olattice(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_33]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_32,plain,
% 3.78/3.91      ( class_Orderings_Olinorder(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5987_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7723,plain,
% 3.78/3.91      ( class_Orderings_Olinorder(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_32]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_31,plain,
% 3.78/3.91      ( class_Orderings_Opreorder(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5988_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7721,plain,
% 3.78/3.91      ( class_Orderings_Opreorder(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_31]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_30,plain,
% 3.78/3.91      ( class_Ring__and__Field_Odvd(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5989_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7719,plain,
% 3.78/3.91      ( class_Ring__and__Field_Odvd(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_30]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_29,plain,
% 3.78/3.91      ( class_Divides_Osemiring__div(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5990_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7717,plain,
% 3.78/3.91      ( class_Divides_Osemiring__div(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_29]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_28,plain,
% 3.78/3.91      ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5991_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7715,plain,
% 3.78/3.91      ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_28]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_27,plain,
% 3.78/3.91      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5992_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7713,plain,
% 3.78/3.91      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_27]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_26,plain,
% 3.78/3.91      ( class_Lattices_Odistrib__lattice(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5993_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7711,plain,
% 3.78/3.91      ( class_Lattices_Odistrib__lattice(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_26]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_25,plain,
% 3.78/3.91      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5994_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7709,plain,
% 3.78/3.91      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_25]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_24,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5995_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7707,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_24]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_23,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5996_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7705,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_23]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_22,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5997_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7703,plain,
% 3.78/3.91      ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_22]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_21,plain,
% 3.78/3.91      ( class_Lattices_Olower__semilattice(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5998_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7701,plain,
% 3.78/3.91      ( class_Lattices_Olower__semilattice(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_21]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_20,plain,
% 3.78/3.91      ( class_Lattices_Oupper__semilattice(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_5999_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7699,plain,
% 3.78/3.91      ( class_Lattices_Oupper__semilattice(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_20]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_19,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6000_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7697,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_19]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_18,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6001_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7695,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_18]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_17,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6002_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7693,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_17]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_16,plain,
% 3.78/3.91      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6003_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7691,plain,
% 3.78/3.91      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_16]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_15,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6004_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7689,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_15]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_14,plain,
% 3.78/3.91      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6005_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7687,plain,
% 3.78/3.91      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_14]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_13,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6006_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7685,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_13]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_12,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6007_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7683,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_12]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_11,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6008_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7681,plain,
% 3.78/3.91      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_11]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_10,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6009_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7679,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_10]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_9,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6010_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7677,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_9]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_8,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6011_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7675,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_8]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6012_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7673,plain,
% 3.78/3.91      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_7]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_6,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6013_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7671,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_6]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_5,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6014_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7669,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_5]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_4,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6015_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7667,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_4]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_3,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6016_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7665,plain,
% 3.78/3.91      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_3]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_2,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6017_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7663,plain,
% 3.78/3.91      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_2]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_1,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6018_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7661,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_1]) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_0,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 3.78/3.91      file('/export/starexec/sandbox/tmp/iprover_modulo_09d735.p', c_0_6019_0) ).
% 3.78/3.91  
% 3.78/3.91  cnf(c_7659,plain,
% 3.78/3.91      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 3.78/3.91      inference(copy,[status(esa)],[c_0]) ).
% 3.78/3.91  
% 3.78/3.91  
% 3.78/3.91  
% 3.78/3.91  % ------                             Statistics
% 3.78/3.91  
% 3.78/3.91  % ------ General
% 3.78/3.91  
% 3.78/3.91  % num_of_input_clauses:                 3400
% 3.78/3.91  % num_of_input_neg_conjectures:         1
% 3.78/3.91  % num_of_splits:                        0
% 3.78/3.91  % num_of_split_atoms:                   0
% 3.78/3.91  % num_of_sem_filtered_clauses:          0
% 3.78/3.91  % num_of_subtypes:                      0
% 3.78/3.91  % monotx_restored_types:                0
% 3.78/3.91  % sat_num_of_epr_types:                 0
% 3.78/3.91  % sat_num_of_non_cyclic_types:          0
% 3.78/3.91  % sat_guarded_non_collapsed_types:      0
% 3.78/3.91  % is_epr:                               0
% 3.78/3.91  % is_horn:                              0
% 3.78/3.91  % has_eq:                               1
% 3.78/3.91  % num_pure_diseq_elim:                  0
% 3.78/3.91  % simp_replaced_by:                     0
% 3.78/3.91  % res_preprocessed:                     2
% 3.78/3.91  % prep_upred:                           0
% 3.78/3.91  % prep_unflattend:                      0
% 3.78/3.91  % pred_elim_cands:                      0
% 3.78/3.91  % pred_elim:                            0
% 3.78/3.91  % pred_elim_cl:                         0
% 3.78/3.91  % pred_elim_cycles:                     0
% 3.78/3.91  % forced_gc_time:                       0
% 3.78/3.91  % gc_basic_clause_elim:                 0
% 3.78/3.91  % parsing_time:                         0.127
% 3.78/3.91  % sem_filter_time:                      0.
% 3.78/3.91  % pred_elim_time:                       0.
% 3.78/3.91  % out_proof_time:                       0.
% 3.78/3.91  % monotx_time:                          0.
% 3.78/3.91  % subtype_inf_time:                     0.
% 3.78/3.91  % unif_index_cands_time:                0.
% 3.78/3.91  % unif_index_add_time:                  0.002
% 3.78/3.91  % total_time:                           0.967
% 3.78/3.91  % num_of_symbols:                       144
% 3.78/3.91  % num_of_terms:                         5765
% 3.78/3.91  
% 3.78/3.91  % ------ Propositional Solver
% 3.78/3.91  
% 3.78/3.91  % prop_solver_calls:                    1
% 3.78/3.91  % prop_fast_solver_calls:               3
% 3.78/3.91  % prop_num_of_clauses:                  3038
% 3.78/3.91  % prop_preprocess_simplified:           10290
% 3.78/3.91  % prop_fo_subsumed:                     0
% 3.78/3.91  % prop_solver_time:                     0.
% 3.78/3.91  % prop_fast_solver_time:                0.
% 3.78/3.91  % prop_unsat_core_time:                 0.
% 3.78/3.91  
% 3.78/3.91  % ------ QBF 
% 3.78/3.91  
% 3.78/3.91  % qbf_q_res:                            0
% 3.78/3.91  % qbf_num_tautologies:                  0
% 3.78/3.91  % qbf_prep_cycles:                      0
% 3.78/3.91  
% 3.78/3.91  % ------ BMC1
% 3.78/3.91  
% 3.78/3.91  % bmc1_current_bound:                   -1
% 3.78/3.91  % bmc1_last_solved_bound:               -1
% 3.78/3.91  % bmc1_unsat_core_size:                 -1
% 3.78/3.91  % bmc1_unsat_core_parents_size:         -1
% 3.78/3.91  % bmc1_merge_next_fun:                  0
% 3.78/3.91  % bmc1_unsat_core_clauses_time:         0.
% 3.78/3.91  
% 3.78/3.91  % ------ Instantiation
% 3.78/3.91  
% 3.78/3.91  % inst_num_of_clauses:                  3180
% 3.78/3.91  % inst_num_in_passive:                  0
% 3.78/3.91  % inst_num_in_active:                   0
% 3.78/3.91  % inst_num_in_unprocessed:              3400
% 3.78/3.91  % inst_num_of_loops:                    0
% 3.78/3.91  % inst_num_of_learning_restarts:        0
% 3.78/3.91  % inst_num_moves_active_passive:        0
% 3.78/3.91  % inst_lit_activity:                    0
% 3.78/3.91  % inst_lit_activity_moves:              0
% 3.78/3.91  % inst_num_tautologies:                 0
% 3.78/3.91  % inst_num_prop_implied:                0
% 3.78/3.91  % inst_num_existing_simplified:         0
% 3.78/3.91  % inst_num_eq_res_simplified:           0
% 3.78/3.91  % inst_num_child_elim:                  0
% 3.78/3.91  % inst_num_of_dismatching_blockings:    0
% 3.78/3.91  % inst_num_of_non_proper_insts:         0
% 3.78/3.91  % inst_num_of_duplicates:               0
% 3.78/3.91  % inst_inst_num_from_inst_to_res:       0
% 3.78/3.91  % inst_dismatching_checking_time:       0.
% 3.78/3.91  
% 3.78/3.91  % ------ Resolution
% 3.78/3.91  
% 3.78/3.91  % res_num_of_clauses:                   3469
% 3.78/3.91  % res_num_in_passive:                   0
% 3.78/3.91  % res_num_in_active:                    1189
% 3.78/3.91  % res_num_of_loops:                     2
% 3.78/3.91  % res_forward_subset_subsumed:          2182
% 3.78/3.91  % res_backward_subset_subsumed:         0
% 3.78/3.91  % res_forward_subsumed:                 0
% 3.78/3.91  % res_backward_subsumed:                0
% 3.78/3.91  % res_forward_subsumption_resolution:   0
% 3.78/3.91  % res_backward_subsumption_resolution:  0
% 3.78/3.91  % res_clause_to_clause_subsumption:     0
% 3.78/3.91  % res_orphan_elimination:               0
% 3.78/3.91  % res_tautology_del:                    0
% 3.78/3.91  % res_num_eq_res_simplified:            0
% 3.78/3.91  % res_num_sel_changes:                  0
% 3.78/3.91  % res_moves_from_active_to_pass:        0
% 3.78/3.91  
% 3.78/3.92  % Status Unknown
% 3.82/3.92  % Last status :
% 3.82/3.92  % SZS status Unknown
%------------------------------------------------------------------------------