TSTP Solution File: ALG435-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : ALG435-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:12:41 EDT 2022
% Result : Unknown 0.82s 1.15s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG435-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : iprover_modulo %s %d
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 8 03:36:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Running in mono-core mode
% 0.22/0.55 % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.55 % Orientation found
% 0.22/0.55 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_30037b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_e5fbd6 | grep -v "SZS"
% 0.22/0.58
% 0.22/0.58 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.58
% 0.22/0.58 %
% 0.22/0.58 % ------ iProver source info
% 0.22/0.58
% 0.22/0.58 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.58 % git: non_committed_changes: true
% 0.22/0.58 % git: last_make_outside_of_git: true
% 0.22/0.58
% 0.22/0.58 %
% 0.22/0.58 % ------ Input Options
% 0.22/0.58
% 0.22/0.58 % --out_options all
% 0.22/0.58 % --tptp_safe_out true
% 0.22/0.58 % --problem_path ""
% 0.22/0.58 % --include_path ""
% 0.22/0.58 % --clausifier .//eprover
% 0.22/0.58 % --clausifier_options --tstp-format
% 0.22/0.58 % --stdin false
% 0.22/0.58 % --dbg_backtrace false
% 0.22/0.58 % --dbg_dump_prop_clauses false
% 0.22/0.58 % --dbg_dump_prop_clauses_file -
% 0.22/0.58 % --dbg_out_stat false
% 0.22/0.58
% 0.22/0.58 % ------ General Options
% 0.22/0.58
% 0.22/0.58 % --fof false
% 0.22/0.58 % --time_out_real 150.
% 0.22/0.58 % --time_out_prep_mult 0.2
% 0.22/0.58 % --time_out_virtual -1.
% 0.22/0.58 % --schedule none
% 0.22/0.58 % --ground_splitting input
% 0.22/0.58 % --splitting_nvd 16
% 0.22/0.58 % --non_eq_to_eq false
% 0.22/0.58 % --prep_gs_sim true
% 0.22/0.58 % --prep_unflatten false
% 0.22/0.58 % --prep_res_sim true
% 0.22/0.58 % --prep_upred true
% 0.22/0.58 % --res_sim_input true
% 0.22/0.58 % --clause_weak_htbl true
% 0.22/0.58 % --gc_record_bc_elim false
% 0.22/0.58 % --symbol_type_check false
% 0.22/0.58 % --clausify_out false
% 0.22/0.58 % --large_theory_mode false
% 0.22/0.58 % --prep_sem_filter none
% 0.22/0.58 % --prep_sem_filter_out false
% 0.22/0.58 % --preprocessed_out false
% 0.22/0.58 % --sub_typing false
% 0.22/0.58 % --brand_transform false
% 0.22/0.58 % --pure_diseq_elim true
% 0.22/0.58 % --min_unsat_core false
% 0.22/0.58 % --pred_elim true
% 0.22/0.58 % --add_important_lit false
% 0.22/0.58 % --soft_assumptions false
% 0.22/0.58 % --reset_solvers false
% 0.22/0.58 % --bc_imp_inh []
% 0.22/0.58 % --conj_cone_tolerance 1.5
% 0.22/0.58 % --prolific_symb_bound 500
% 0.22/0.58 % --lt_threshold 2000
% 0.22/0.58
% 0.22/0.58 % ------ SAT Options
% 0.22/0.58
% 0.22/0.58 % --sat_mode false
% 0.22/0.58 % --sat_fm_restart_options ""
% 0.22/0.58 % --sat_gr_def false
% 0.22/0.58 % --sat_epr_types true
% 0.22/0.58 % --sat_non_cyclic_types false
% 0.22/0.58 % --sat_finite_models false
% 0.22/0.58 % --sat_fm_lemmas false
% 0.22/0.58 % --sat_fm_prep false
% 0.22/0.58 % --sat_fm_uc_incr true
% 0.22/0.58 % --sat_out_model small
% 0.22/0.58 % --sat_out_clauses false
% 0.22/0.58
% 0.22/0.58 % ------ QBF Options
% 0.22/0.58
% 0.22/0.58 % --qbf_mode false
% 0.22/0.58 % --qbf_elim_univ true
% 0.22/0.58 % --qbf_sk_in true
% 0.22/0.58 % --qbf_pred_elim true
% 0.22/0.58 % --qbf_split 32
% 0.22/0.58
% 0.22/0.58 % ------ BMC1 Options
% 0.22/0.58
% 0.22/0.58 % --bmc1_incremental false
% 0.22/0.58 % --bmc1_axioms reachable_all
% 0.22/0.58 % --bmc1_min_bound 0
% 0.22/0.58 % --bmc1_max_bound -1
% 0.22/0.58 % --bmc1_max_bound_default -1
% 0.22/0.58 % --bmc1_symbol_reachability true
% 0.22/0.58 % --bmc1_property_lemmas false
% 0.22/0.58 % --bmc1_k_induction false
% 0.22/0.58 % --bmc1_non_equiv_states false
% 0.22/0.58 % --bmc1_deadlock false
% 0.22/0.58 % --bmc1_ucm false
% 0.22/0.58 % --bmc1_add_unsat_core none
% 0.22/0.58 % --bmc1_unsat_core_children false
% 0.22/0.58 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.58 % --bmc1_out_stat full
% 0.22/0.58 % --bmc1_ground_init false
% 0.22/0.58 % --bmc1_pre_inst_next_state false
% 0.22/0.58 % --bmc1_pre_inst_state false
% 0.22/0.58 % --bmc1_pre_inst_reach_state false
% 0.22/0.58 % --bmc1_out_unsat_core false
% 0.22/0.58 % --bmc1_aig_witness_out false
% 0.22/0.58 % --bmc1_verbose false
% 0.22/0.58 % --bmc1_dump_clauses_tptp false
% 0.54/0.74 % --bmc1_dump_unsat_core_tptp false
% 0.54/0.74 % --bmc1_dump_file -
% 0.54/0.74 % --bmc1_ucm_expand_uc_limit 128
% 0.54/0.74 % --bmc1_ucm_n_expand_iterations 6
% 0.54/0.74 % --bmc1_ucm_extend_mode 1
% 0.54/0.74 % --bmc1_ucm_init_mode 2
% 0.54/0.74 % --bmc1_ucm_cone_mode none
% 0.54/0.74 % --bmc1_ucm_reduced_relation_type 0
% 0.54/0.74 % --bmc1_ucm_relax_model 4
% 0.54/0.74 % --bmc1_ucm_full_tr_after_sat true
% 0.54/0.74 % --bmc1_ucm_expand_neg_assumptions false
% 0.54/0.74 % --bmc1_ucm_layered_model none
% 0.54/0.74 % --bmc1_ucm_max_lemma_size 10
% 0.54/0.74
% 0.54/0.74 % ------ AIG Options
% 0.54/0.74
% 0.54/0.74 % --aig_mode false
% 0.54/0.74
% 0.54/0.74 % ------ Instantiation Options
% 0.54/0.74
% 0.54/0.74 % --instantiation_flag true
% 0.54/0.74 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.54/0.74 % --inst_solver_per_active 750
% 0.54/0.74 % --inst_solver_calls_frac 0.5
% 0.54/0.74 % --inst_passive_queue_type priority_queues
% 0.54/0.74 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.54/0.74 % --inst_passive_queues_freq [25;2]
% 0.54/0.74 % --inst_dismatching true
% 0.54/0.74 % --inst_eager_unprocessed_to_passive true
% 0.54/0.74 % --inst_prop_sim_given true
% 0.54/0.74 % --inst_prop_sim_new false
% 0.54/0.74 % --inst_orphan_elimination true
% 0.54/0.74 % --inst_learning_loop_flag true
% 0.54/0.74 % --inst_learning_start 3000
% 0.54/0.74 % --inst_learning_factor 2
% 0.54/0.74 % --inst_start_prop_sim_after_learn 3
% 0.54/0.74 % --inst_sel_renew solver
% 0.54/0.74 % --inst_lit_activity_flag true
% 0.54/0.74 % --inst_out_proof true
% 0.54/0.74
% 0.54/0.74 % ------ Resolution Options
% 0.54/0.74
% 0.54/0.74 % --resolution_flag true
% 0.54/0.74 % --res_lit_sel kbo_max
% 0.54/0.74 % --res_to_prop_solver none
% 0.54/0.74 % --res_prop_simpl_new false
% 0.54/0.74 % --res_prop_simpl_given false
% 0.54/0.74 % --res_passive_queue_type priority_queues
% 0.54/0.74 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.54/0.74 % --res_passive_queues_freq [15;5]
% 0.54/0.74 % --res_forward_subs full
% 0.54/0.74 % --res_backward_subs full
% 0.54/0.74 % --res_forward_subs_resolution true
% 0.54/0.74 % --res_backward_subs_resolution true
% 0.54/0.74 % --res_orphan_elimination false
% 0.54/0.74 % --res_time_limit 1000.
% 0.54/0.74 % --res_out_proof true
% 0.54/0.74 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_30037b.s
% 0.54/0.74 % --modulo true
% 0.54/0.74
% 0.54/0.74 % ------ Combination Options
% 0.54/0.74
% 0.54/0.74 % --comb_res_mult 1000
% 0.54/0.74 % --comb_inst_mult 300
% 0.54/0.74 % ------
% 0.54/0.74
% 0.54/0.74 % ------ Parsing...% successful
% 0.54/0.74
% 0.54/0.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.54/0.74
% 0.54/0.74 % ------ Proving...
% 0.54/0.74 % ------ Problem Properties
% 0.54/0.74
% 0.54/0.74 %
% 0.54/0.74 % EPR false
% 0.54/0.74 % Horn false
% 0.54/0.74 % Has equality true
% 0.54/0.74
% 0.54/0.74 % % ------ Input Options Time Limit: Unbounded
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 % % ------ Current options:
% 0.54/0.74
% 0.54/0.74 % ------ Input Options
% 0.54/0.74
% 0.54/0.74 % --out_options all
% 0.54/0.74 % --tptp_safe_out true
% 0.54/0.74 % --problem_path ""
% 0.54/0.74 % --include_path ""
% 0.54/0.74 % --clausifier .//eprover
% 0.54/0.74 % --clausifier_options --tstp-format
% 0.54/0.74 % --stdin false
% 0.54/0.74 % --dbg_backtrace false
% 0.54/0.74 % --dbg_dump_prop_clauses false
% 0.54/0.74 % --dbg_dump_prop_clauses_file -
% 0.54/0.74 % --dbg_out_stat false
% 0.54/0.74
% 0.54/0.74 % ------ General Options
% 0.54/0.74
% 0.54/0.74 % --fof false
% 0.54/0.74 % --time_out_real 150.
% 0.54/0.74 % --time_out_prep_mult 0.2
% 0.54/0.74 % --time_out_virtual -1.
% 0.54/0.74 % --schedule none
% 0.54/0.74 % --ground_splitting input
% 0.54/0.74 % --splitting_nvd 16
% 0.54/0.74 % --non_eq_to_eq false
% 0.54/0.74 % --prep_gs_sim true
% 0.54/0.74 % --prep_unflatten false
% 0.54/0.74 % --prep_res_sim true
% 0.54/0.74 % --prep_upred true
% 0.54/0.74 % --res_sim_input true
% 0.54/0.74 % --clause_weak_htbl true
% 0.54/0.74 % --gc_record_bc_elim false
% 0.54/0.74 % --symbol_type_check false
% 0.54/0.74 % --clausify_out false
% 0.54/0.74 % --large_theory_mode false
% 0.54/0.74 % --prep_sem_filter none
% 0.54/0.74 % --prep_sem_filter_out false
% 0.54/0.74 % --preprocessed_out false
% 0.54/0.74 % --sub_typing false
% 0.54/0.74 % --brand_transform false
% 0.54/0.74 % --pure_diseq_elim true
% 0.54/0.74 % --min_unsat_core false
% 0.54/0.74 % --pred_elim true
% 0.54/0.74 % --add_important_lit false
% 0.54/0.74 % --soft_assumptions false
% 0.54/0.74 % --reset_solvers false
% 0.54/0.74 % --bc_imp_inh []
% 0.54/0.74 % --conj_cone_tolerance 1.5
% 0.54/0.74 % --prolific_symb_bound 500
% 0.54/0.74 % --lt_threshold 2000
% 0.54/0.74
% 0.54/0.74 % ------ SAT Options
% 0.54/0.74
% 0.54/0.74 % --sat_mode false
% 0.54/0.74 % --sat_fm_restart_options ""
% 0.54/0.74 % --sat_gr_def false
% 0.54/0.74 % --sat_epr_types true
% 0.54/0.74 % --sat_non_cyclic_types false
% 0.54/0.74 % --sat_finite_models false
% 0.54/0.74 % --sat_fm_lemmas false
% 0.54/0.74 % --sat_fm_prep false
% 0.54/0.74 % --sat_fm_uc_incr true
% 0.54/0.74 % --sat_out_model small
% 0.54/0.74 % --sat_out_clauses false
% 0.54/0.74
% 0.54/0.74 % ------ QBF Options
% 0.54/0.74
% 0.54/0.74 % --qbf_mode false
% 0.54/0.74 % --qbf_elim_univ true
% 0.54/0.74 % --qbf_sk_in true
% 0.54/0.74 % --qbf_pred_elim true
% 0.54/0.74 % --qbf_split 32
% 0.54/0.74
% 0.54/0.74 % ------ BMC1 Options
% 0.54/0.74
% 0.54/0.74 % --bmc1_incremental false
% 0.54/0.74 % --bmc1_axioms reachable_all
% 0.54/0.74 % --bmc1_min_bound 0
% 0.54/0.74 % --bmc1_max_bound -1
% 0.54/0.74 % --bmc1_max_bound_default -1
% 0.54/0.74 % --bmc1_symbol_reachability true
% 0.54/0.74 % --bmc1_property_lemmas false
% 0.54/0.74 % --bmc1_k_induction false
% 0.54/0.74 % --bmc1_non_equiv_states false
% 0.54/0.74 % --bmc1_deadlock false
% 0.54/0.74 % --bmc1_ucm false
% 0.54/0.74 % --bmc1_add_unsat_core none
% 0.54/0.74 % --bmc1_unsat_core_children false
% 0.54/0.74 % --bmc1_unsat_core_extrapolate_axioms false
% 0.54/0.74 % --bmc1_out_stat full
% 0.54/0.74 % --bmc1_ground_init false
% 0.54/0.74 % --bmc1_pre_inst_next_state false
% 0.54/0.74 % --bmc1_pre_inst_state false
% 0.54/0.74 % --bmc1_pre_inst_reach_state false
% 0.54/0.74 % --bmc1_out_unsat_core false
% 0.54/0.74 % --bmc1_aig_witness_out false
% 0.54/0.74 % --bmc1_verbose false
% 0.54/0.74 % --bmc1_dump_clauses_tptp false
% 0.54/0.74 % --bmc1_dump_unsat_core_tptp false
% 0.54/0.74 % --bmc1_dump_file -
% 0.54/0.74 % --bmc1_ucm_expand_uc_limit 128
% 0.54/0.74 % --bmc1_ucm_n_expand_iterations 6
% 0.54/0.74 % --bmc1_ucm_extend_mode 1
% 0.54/0.74 % --bmc1_ucm_init_mode 2
% 0.54/0.74 % --bmc1_ucm_cone_mode none
% 0.54/0.74 % --bmc1_ucm_reduced_relation_type 0
% 0.54/0.74 % --bmc1_ucm_relax_model 4
% 0.54/0.74 % --bmc1_ucm_full_tr_after_sat true
% 0.54/0.74 % --bmc1_ucm_expand_neg_assumptions false
% 0.54/0.74 % --bmc1_ucm_layered_model none
% 0.54/0.74 % --bmc1_ucm_max_lemma_size 10
% 0.54/0.74
% 0.54/0.74 % ------ AIG Options
% 0.54/0.74
% 0.54/0.74 % --aig_mode false
% 0.54/0.74
% 0.54/0.74 % ------ Instantiation Options
% 0.54/0.74
% 0.54/0.74 % --instantiation_flag true
% 0.54/0.74 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.54/0.74 % --inst_solver_per_active 750
% 0.54/0.74 % --inst_solver_calls_frac 0.5
% 0.54/0.74 % --inst_passive_queue_type priority_queues
% 0.54/0.74 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.54/0.74 % --inst_passive_queues_freq [25;2]
% 0.54/0.74 % --inst_dismatching true
% 0.54/0.74 % --inst_eager_unprocessed_to_passive true
% 0.54/0.74 % --inst_prop_sim_given true
% 0.54/0.74 % --inst_prop_sim_new false
% 0.54/0.74 % --inst_orphan_elimination true
% 0.54/0.74 % --inst_learning_loop_flag true
% 0.54/0.74 % --inst_learning_start 3000
% 0.54/0.74 % --inst_learning_factor 2
% 0.54/0.74 % --inst_start_prop_sim_after_learn 3
% 0.54/0.74 % --inst_sel_renew solver
% 0.54/0.74 % --inst_lit_activity_flag true
% 0.54/0.74 % --inst_out_proof true
% 0.54/0.74
% 0.54/0.74 % ------ Resolution Options
% 0.54/0.74
% 0.54/0.74 % --resolution_flag true
% 0.54/0.74 % --res_lit_sel kbo_max
% 0.54/0.74 % --res_to_prop_solver none
% 0.54/0.74 % --res_prop_simpl_new false
% 0.54/0.74 % --res_prop_simpl_given false
% 0.54/0.74 % --res_passive_queue_type priority_queues
% 0.54/0.74 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.54/0.74 % --res_passive_queues_freq [15;5]
% 0.54/0.74 % --res_forward_subs full
% 0.54/0.74 % --res_backward_subs full
% 0.54/0.74 % --res_forward_subs_resolution true
% 0.54/0.74 % --res_backward_subs_resolution true
% 0.54/0.74 % --res_orphan_elimination false
% 0.54/0.74 % --res_time_limit 1000.
% 0.54/0.74 % --res_out_proof true
% 0.54/0.74 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_30037b.s
% 0.54/0.74 % --modulo true
% 0.54/0.74
% 0.54/0.74 % ------ Combination Options
% 0.54/0.74
% 0.54/0.74 % --comb_res_mult 1000
% 0.54/0.74 % --comb_inst_mult 300
% 0.54/0.74 % ------
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 % ------ Proving...
% 0.54/0.74 % warning: shown sat in sat incomplete mode
% 0.54/0.74 %
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 cnf(c_1389,plain,
% 0.54/0.74 ( ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2864_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_6525,plain,
% 0.54/0.74 ( ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_1389]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_6526,plain,
% 0.54/0.74 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_6525]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_1368,plain,
% 0.54/0.74 ( ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2857_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_6483,plain,
% 0.54/0.74 ( ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_1368]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_6484,plain,
% 0.54/0.74 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_6483]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_1311,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.54/0.74 | X1 = X2
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2835_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_6369,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.54/0.74 | X1 = X2
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_1311]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_6370,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X1 = X2 ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_6369]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_1120,plain,
% 0.54/0.74 ( ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2749_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5987,plain,
% 0.54/0.74 ( ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_1120]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5988,plain,
% 0.54/0.74 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5987]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_1117,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2748_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5981,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_1117]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5982,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Oordered__field(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5981]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_1111,plain,
% 0.54/0.74 ( ~ class_HOL_Oeq(X0) | ~ c_HOL_Oeq__class_Oeq(X1,X2,X0) | X1 = X2 ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2746_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5969,plain,
% 0.54/0.74 ( ~ class_HOL_Oeq(X0) | ~ c_HOL_Oeq__class_Oeq(X1,X2,X0) | X1 = X2 ),
% 0.54/0.74 inference(copy,[status(esa)],[c_1111]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5970,plain,
% 0.54/0.74 ( ~ c_HOL_Oeq__class_Oeq(X0,X1,X2) | ~ class_HOL_Oeq(X2) | X0 = X1 ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5969]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_1077,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2733_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5901,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_1077]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5902,plain,
% 0.54/0.74 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 0.54/0.74 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5901]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_1066,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2730_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5879,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_1066]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5880,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5879]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_1041,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | X1 = X2 ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2723_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5829,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | X1 = X2 ),
% 0.54/0.74 inference(copy,[status(esa)],[c_1041]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5830,plain,
% 0.54/0.74 ( ~ c_HOL_Oeq__class_Oeq(X0,X1,tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ class_HOL_Oeq(X2)
% 0.54/0.74 | ~ class_HOL_Ozero(X2)
% 0.54/0.74 | X0 = X1 ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5829]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_986,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Omult__zero(X0)
% 0.54/0.74 | ~ class_Power_Opower(X0)
% 0.54/0.74 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2703_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5719,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Omult__zero(X0)
% 0.54/0.74 | ~ class_Power_Opower(X0)
% 0.54/0.74 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_986]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5720,plain,
% 0.54/0.74 ( ~ class_Power_Opower(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Omult__zero(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.54/0.74 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5719]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_948,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2687_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5643,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_948]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5644,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X0,X2) = c_HOL_Ozero__class_Ozero(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5643]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_943,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2685_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5633,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_943]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5634,plain,
% 0.54/0.74 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5633]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_828,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X2,X0)
% 0.54/0.74 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2643_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5403,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X2,X0)
% 0.54/0.74 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_828]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5404,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X2,X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X1,X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5403]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_824,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X2,X0)
% 0.54/0.74 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2642_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5395,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X2,X0)
% 0.54/0.74 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_824]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5396,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X2,X0)
% 0.54/0.74 | ~ c_Polynomial_Opos__poly(X1,X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5395]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_815,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2639_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5377,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_815]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5378,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5377]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_812,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2638_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5371,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_812]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5372,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.54/0.74 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5371]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_711,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2595_1) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5169,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_711]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5170,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.54/0.74 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5169]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_710,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2595_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5167,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_710]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5168,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.54/0.74 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5167]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_701,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2592_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5149,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_701]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5150,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.74 | ~ class_Ring__and__Field_Oordered__field(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5149]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_698,plain,
% 0.54/0.74 ( ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2591_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5143,plain,
% 0.54/0.74 ( ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_698]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5144,plain,
% 0.54/0.74 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5143]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_692,plain,
% 0.54/0.74 ( ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2589_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5131,plain,
% 0.54/0.74 ( ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_692]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5132,plain,
% 0.54/0.74 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.74 | ~ class_SEQ_Obanach(X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5131]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_673,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2582_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5093,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 0.54/0.74 inference(copy,[status(esa)],[c_673]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5094,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X0,X2) = X1 ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5093]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_670,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2581_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5087,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 0.54/0.74 inference(copy,[status(esa)],[c_670]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5088,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1 ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5087]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_659,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X3,X2,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2578_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5065,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X3,X2,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_659]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5066,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5065]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_655,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X3,X1,X0),X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2577_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5057,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X3,X1,X0),X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_655]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5058,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5057]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_647,plain,
% 0.54/0.74 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2574_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5041,plain,
% 0.54/0.74 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_647]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5042,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Divides_Oring__div(X2)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5041]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_644,plain,
% 0.54/0.74 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2573_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5035,plain,
% 0.54/0.74 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_644]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5036,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Divides_Oring__div(X2)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5035]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_641,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.54/0.74 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2572_2) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5029,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.54/0.74 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_641]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5030,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) = c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,X4,X0) != c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5029]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_639,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2572_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5025,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_639]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5026,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) = c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,X4,X0) != c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.54/0.74 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5025]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_634,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.54/0.74 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2571_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5015,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.54/0.74 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_634]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_5016,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.54/0.74 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.54/0.74 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_5015]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_620,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2565_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4987,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_620]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4988,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X3,X0,X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4987]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_617,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2564_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4981,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_617]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4982,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.74 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4981]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_614,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2563_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4975,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_614]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4976,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.54/0.74 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4975]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_530,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2523_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4807,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_530]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4808,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X0,X1,X2),X3,tc_Polynomial_Opoly(X2))
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4807]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_494,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2512_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4735,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_494]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4736,plain,
% 0.54/0.74 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.54/0.74 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4735]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_482,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2509_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4711,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_482]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4712,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4711]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_444,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X3,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2496_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4635,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X3,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_444]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4636,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4635]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_440,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2495_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4627,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_440]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4628,plain,
% 0.54/0.74 ( ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 0.54/0.74 | ~ class_HOL_Oeq(X2)
% 0.54/0.74 | ~ class_HOL_Ozero(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4627]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_436,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2494_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4619,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_436]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4620,plain,
% 0.54/0.74 ( ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ class_HOL_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4619]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_430,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2492_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4607,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_430]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4608,plain,
% 0.54/0.74 ( ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ class_HOL_Oeq(X2)
% 0.54/0.74 | ~ class_HOL_Ozero(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4607]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_426,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2491_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4599,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_426]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4600,plain,
% 0.54/0.74 ( ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ class_HOL_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4599]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_417,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2488_2) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4581,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_417]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4582,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X3) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4581]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_415,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2488_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4577,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_415]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4578,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X3) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4577]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_406,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2485_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4559,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_406]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4560,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4559]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_401,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X2,X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2484_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4549,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X2,X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_401]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4550,plain,
% 0.54/0.74 ( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 0.54/0.74 | ~ class_HOL_Oeq(X2)
% 0.54/0.74 | ~ class_HOL_Ozero(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4549]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_396,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X2,X1,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2483_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4539,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X2,X1,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_396]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4540,plain,
% 0.54/0.74 ( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ class_HOL_Ozero(X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4539]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_308,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2443_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4363,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_308]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4364,plain,
% 0.54/0.74 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.74 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4363]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_295,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0)
% 0.54/0.74 | X1 = X2
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2437_2) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4337,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0)
% 0.54/0.74 | X1 = X2
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_295]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4338,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ class_Ring__and__Field_Oidom(X2)
% 0.54/0.74 | c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X2),X2) != c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X2),X2)
% 0.54/0.74 | X0 = X1 ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4337]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_293,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | X1 = X2 ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2437_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4333,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | X1 = X2 ),
% 0.54/0.74 inference(copy,[status(esa)],[c_293]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4334,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ class_Ring__and__Field_Oidom(X2)
% 0.54/0.74 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X2),X2) != c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X2),X2)
% 0.54/0.74 | X1 = X0 ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4333]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_281,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X3,X4,X0)
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X3,X1,X0),c_Polynomial_OpCons(X4,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2433_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4309,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X3,X4,X0)
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X3,X1,X0),c_Polynomial_OpCons(X4,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_281]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4310,plain,
% 0.54/0.74 ( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X3,X4,X2),tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X1,X4,tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(X0,X3,X2)
% 0.54/0.74 | ~ class_HOL_Oeq(X2)
% 0.54/0.74 | ~ class_HOL_Ozero(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4309]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_273,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2430_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4293,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_273]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4294,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.54/0.74 | ~ class_Ring__and__Field_Oidom(X2)
% 0.54/0.74 | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4293]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_269,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2429_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4285,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_269]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4286,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.74 | ~ class_Ring__and__Field_Oidom(X2)
% 0.54/0.74 | X1 = c_HOL_Ozero__class_Ozero(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4285]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_257,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X1,X3,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2424_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4261,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X1,X3,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_257]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4262,plain,
% 0.54/0.74 ( ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X3,X4,X2),tc_Polynomial_Opoly(X2))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X0,X3,X2)
% 0.54/0.74 | ~ class_HOL_Oeq(X2)
% 0.54/0.74 | ~ class_HOL_Ozero(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4261]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_253,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X2,X4,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2423_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4253,plain,
% 0.54/0.74 ( ~ class_HOL_Ozero(X0)
% 0.54/0.74 | ~ class_HOL_Oeq(X0)
% 0.54/0.74 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X2,X4,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_253]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4254,plain,
% 0.54/0.74 ( ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X3,X4,X2),tc_Polynomial_Opoly(X2))
% 0.54/0.74 | c_HOL_Oeq__class_Oeq(X1,X4,tc_Polynomial_Opoly(X2))
% 0.54/0.74 | ~ class_HOL_Oeq(X2)
% 0.54/0.74 | ~ class_HOL_Ozero(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4253]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_250,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2422_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4247,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_250]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4248,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4247]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_242,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2420_2) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4231,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_242]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4232,plain,
% 0.54/0.74 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4231]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_240,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2420_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4227,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_240]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4228,plain,
% 0.54/0.74 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4227]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_173,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | 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)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2394_2) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4093,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | 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)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_173]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4094,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4093]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_171,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2394_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4089,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_171]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4090,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4089]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_168,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | c_Polynomial_Opoly(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X2,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2393_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4083,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | c_Polynomial_Opoly(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X2,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_168]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4084,plain,
% 0.54/0.74 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 0.54/0.74 | ~ class_Ring__and__Field_Oidom(X1)
% 0.54/0.74 | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4083]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_165,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | c_Polynomial_Opoly(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X2,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2392_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4077,plain,
% 0.54/0.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.74 | c_Polynomial_Opoly(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X2,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_165]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4078,plain,
% 0.54/0.74 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 0.54/0.74 | ~ class_Ring__and__Field_Oidom(X1)
% 0.54/0.74 | c_Polynomial_Opoly(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4077]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_154,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2387_2) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4055,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_154]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4056,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4055]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_153,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2387_1) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4053,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_153]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4054,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4053]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_152,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2387_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4051,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_152]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4052,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.54/0.74 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.74 | ~ class_Divides_Osemiring__div(X2) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4051]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_148,plain,
% 0.54/0.74 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2386_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4043,plain,
% 0.54/0.74 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_148]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4044,plain,
% 0.54/0.74 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.74 | 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)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4043]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_144,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2385_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4035,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_144]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4036,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | 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)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4035]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_140,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2384_0) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4027,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.54/0.74 | 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) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_140]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4028,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | 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)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.54/0.74 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.54/0.74 inference(rewriting,[status(thm)],[c_4027]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_130,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | 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)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X0) ),
% 0.54/0.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2379_2) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4007,plain,
% 0.54/0.74 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.74 | 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)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.54/0.74 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X0) ),
% 0.54/0.74 inference(copy,[status(esa)],[c_130]) ).
% 0.54/0.74
% 0.54/0.74 cnf(c_4008,plain,
% 0.54/0.74 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 0.54/0.75 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.75 | 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) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_4007]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_128,plain,
% 0.54/0.75 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 0.54/0.75 | 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) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2379_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_4003,plain,
% 0.54/0.75 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 0.54/0.75 | 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) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_128]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_4004,plain,
% 0.54/0.75 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 0.54/0.75 | ~ class_Divides_Osemiring__div(X2)
% 0.54/0.75 | 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) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_4003]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_115,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 0.54/0.75 | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2373_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3977,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 0.54/0.75 | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_115]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3978,plain,
% 0.54/0.75 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 0.54/0.75 | ~ class_Ring__and__Field_Oidom(X1)
% 0.54/0.75 | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3977]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_92,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 0.54/0.75 | c_Polynomial_Opoly(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2366_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3931,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 0.54/0.75 | c_Polynomial_Opoly(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_92]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3932,plain,
% 0.54/0.75 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 0.54/0.75 | ~ class_Ring__and__Field_Oidom(X1)
% 0.54/0.75 | c_Polynomial_Opoly(X2,X0,X1) = c_HOL_Ozero__class_Ozero(X1) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3931]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_67,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 0.54/0.75 | 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) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2358_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3881,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 0.54/0.75 | 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) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_67]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3882,plain,
% 0.54/0.75 ( 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)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 0.54/0.75 | ~ class_Ring__and__Field_Odvd(X4) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3881]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_58,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.75 | ~ 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)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 0.54/0.75 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2355_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3863,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.75 | ~ 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)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 0.54/0.75 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_58]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3864,plain,
% 0.54/0.75 ( ~ 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)
% 0.54/0.75 | c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 0.54/0.75 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 0.54/0.75 | ~ class_Ring__and__Field_Odvd(X4) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3863]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_55,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2354_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3857,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_55]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3858,plain,
% 0.54/0.75 ( c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(X2)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)),X1,X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X2)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3857]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_46,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3,X0)
% 0.54/0.75 | X3 = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2350_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3839,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3,X0)
% 0.54/0.75 | X3 = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_46]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3840,plain,
% 0.54/0.75 ( ~ c_Polynomial_Opdivmod__rel(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X3,X1)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X1)
% 0.54/0.75 | X3 = X0 ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3839]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_40,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3,X0)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2348_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3827,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3,X0)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_40]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3828,plain,
% 0.54/0.75 ( ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3,X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3827]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_37,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3,X0)
% 0.54/0.75 | X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2347_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3821,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3,X0)
% 0.54/0.75 | X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_37]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3822,plain,
% 0.54/0.75 ( ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3,X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3821]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_34,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3,X0)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2346_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3815,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3,X0)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_34]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3816,plain,
% 0.54/0.75 ( ~ c_Polynomial_Opdivmod__rel(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X3,X1)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X1)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3815]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_27,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),X4,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2344_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3801,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),X4,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_27]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3802,plain,
% 0.54/0.75 ( ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X4)
% 0.54/0.75 | X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(X4)),X3,tc_Polynomial_Opoly(X4)) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3801]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_19,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | c_Polynomial_Opdivmod__rel(X1,c_Polynomial_Osmult(X5,X2,X0),c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(X5,X0),X3,X0),X4,X0)
% 0.54/0.75 | X5 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2341_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3785,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | c_Polynomial_Opdivmod__rel(X1,c_Polynomial_Osmult(X5,X2,X0),c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(X5,X0),X3,X0),X4,X0)
% 0.54/0.75 | X5 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_19]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3786,plain,
% 0.54/0.75 ( c_Polynomial_Opdivmod__rel(X0,c_Polynomial_Osmult(X1,X2,X3),c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(X1,X3),X4,X3),X5,X3)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X0,X2,X4,X5,X3)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X3)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X3) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3785]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_14,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | X1 = X2
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X3,X4,X1,X5,X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X3,X4,X2,X6,X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2339_2) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3775,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | X1 = X2
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X3,X4,X1,X5,X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X3,X4,X2,X6,X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_14]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3776,plain,
% 0.54/0.75 ( ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X5,X6,X4)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X4)
% 0.54/0.75 | X2 = X5 ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3775]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_12,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X5,X6,X0)
% 0.54/0.75 | X5 = X3 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2339_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3771,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X5,X6,X0)
% 0.54/0.75 | X5 = X3 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_12]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3772,plain,
% 0.54/0.75 ( ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X5,X6,X4)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X4)
% 0.54/0.75 | X5 = X2 ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3771]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_10,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | X1 = X2
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X3,X4,X5,X1,X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X3,X4,X6,X2,X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2338_2) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3767,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | X1 = X2
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X3,X4,X5,X1,X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X3,X4,X6,X2,X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_10]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3768,plain,
% 0.54/0.75 ( ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X5,X6,X4)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X4)
% 0.54/0.75 | X3 = X6 ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3767]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_8,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X5,X6,X0)
% 0.54/0.75 | X6 = X4 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2338_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3763,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X5,X6,X0)
% 0.54/0.75 | X6 = X4 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_8]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3764,plain,
% 0.54/0.75 ( ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X5,X6,X4)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X4)
% 0.54/0.75 | X6 = X3 ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3763]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_4,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X5,X6,X1,X7,X0)
% 0.54/0.75 | c_Polynomial_Opdivmod__rel(X5,c_HOL_Otimes__class_Otimes(X6,X2,tc_Polynomial_Opoly(X0)),X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X6,X4,tc_Polynomial_Opoly(X0)),X7,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2337_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3755,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X5,X6,X1,X7,X0)
% 0.54/0.75 | c_Polynomial_Opdivmod__rel(X5,c_HOL_Otimes__class_Otimes(X6,X2,tc_Polynomial_Opoly(X0)),X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X6,X4,tc_Polynomial_Opoly(X0)),X7,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_4]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3756,plain,
% 0.54/0.75 ( c_Polynomial_Opdivmod__rel(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X5,tc_Polynomial_Opoly(X3)),X6,tc_Polynomial_Opoly(X3)),X3)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X7,X2,X4,X5,X3)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X7,X6,X3)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X3) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3755]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_0,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(X5,X1,X0),X2,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X5,X4,X0),c_Polynomial_Odegree(X2,X0),X0),c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0),X0),X3,X0),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X5,X4,X0),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X5,X4,X0),c_Polynomial_Odegree(X2,X0),X0),c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0),X0),X2,X0),tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2336_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3747,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(X5,X1,X0),X2,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X5,X4,X0),c_Polynomial_Odegree(X2,X0),X0),c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0),X0),X3,X0),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X5,X4,X0),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X5,X4,X0),c_Polynomial_Odegree(X2,X0),X0),c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0),X0),X2,X0),tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_0]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_3748,plain,
% 0.54/0.75 ( c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(X0,X1,X2),X3,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X0,X4,X2),c_Polynomial_Odegree(X3,X2),X2),c_Polynomial_Ocoeff(X3,c_Polynomial_Odegree(X3,X2),X2),X2),X5,X2),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X0,X4,X2),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X0,X4,X2),c_Polynomial_Odegree(X3,X2),X2),c_Polynomial_Ocoeff(X3,c_Polynomial_Odegree(X3,X2),X2),X2),X3,X2),tc_Polynomial_Opoly(X2)),X2)
% 0.54/0.75 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X5,X4,X2)
% 0.54/0.75 | ~ class_Ring__and__Field_Ofield(X2)
% 0.54/0.75 | X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_3747]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1623,plain,
% 0.54/0.75 ( class_HOL_Oeq(tc_prod(X0,X1)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_472_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6993,plain,
% 0.54/0.75 ( class_HOL_Oeq(tc_prod(X0,X1)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1623]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1622,plain,
% 0.54/0.75 ( class_HOL_Oeq(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_473_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6991,plain,
% 0.54/0.75 ( class_HOL_Oeq(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1622]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1621,plain,
% 0.54/0.75 ( class_HOL_Ozero(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_474_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6989,plain,
% 0.54/0.75 ( class_HOL_Ozero(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1621]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1620,plain,
% 0.54/0.75 ( class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_475_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6987,plain,
% 0.54/0.75 ( class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1620]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1619,plain,
% 0.54/0.75 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_476_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6985,plain,
% 0.54/0.75 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1619]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1618,plain,
% 0.54/0.75 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_477_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6983,plain,
% 0.54/0.75 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1618]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1617,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_478_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6981,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1617]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1616,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_479_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6979,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1616]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1615,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_480_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6977,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1615]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1614,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_481_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6975,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1614]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1613,plain,
% 0.54/0.75 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_482_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6973,plain,
% 0.54/0.75 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1613]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1612,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_483_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6971,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1612]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1611,plain,
% 0.54/0.75 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_484_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6969,plain,
% 0.54/0.75 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1611]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1610,plain,
% 0.54/0.75 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_485_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6967,plain,
% 0.54/0.75 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1610]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1609,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_486_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6965,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1609]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1608,plain,
% 0.54/0.75 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_487_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6963,plain,
% 0.54/0.75 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1608]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1607,plain,
% 0.54/0.75 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_488_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6961,plain,
% 0.54/0.75 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1607]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1606,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_489_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6959,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1606]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1605,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_490_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6957,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1605]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1604,plain,
% 0.54/0.75 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_491_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6955,plain,
% 0.54/0.75 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1604]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1603,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_492_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6953,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1603]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1602,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_493_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6951,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1602]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1601,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_494_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6949,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1601]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1600,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_495_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6947,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1600]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1599,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_496_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6945,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1599]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1598,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_497_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6943,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1598]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1597,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_498_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6941,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1597]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1596,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_499_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6939,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1596]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1595,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_500_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6937,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1595]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1594,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_501_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6935,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1594]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1593,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_502_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6933,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1593]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1592,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_503_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6931,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1592]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1591,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_504_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6929,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1591]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1590,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_505_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6927,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1590]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1589,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_506_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6925,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1589]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1588,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_507_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6923,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1588]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1587,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_508_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6921,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1587]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1586,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_509_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6919,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1586]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1585,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_510_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6917,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1585]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1584,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_511_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6915,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1584]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1583,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_512_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6913,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1583]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1582,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_513_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6911,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1582]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1581,plain,
% 0.54/0.75 ( class_HOL_Oeq(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_514_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6909,plain,
% 0.54/0.75 ( class_HOL_Oeq(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1581]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1580,plain,
% 0.54/0.75 ( class_HOL_Ozero(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_515_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6907,plain,
% 0.54/0.75 ( class_HOL_Ozero(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1580]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1579,plain,
% 0.54/0.75 ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_516_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6905,plain,
% 0.54/0.75 ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1579]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1578,plain,
% 0.54/0.75 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_517_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6903,plain,
% 0.54/0.75 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1578]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1577,plain,
% 0.54/0.75 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_518_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6901,plain,
% 0.54/0.75 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1577]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1576,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_519_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6899,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1576]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1575,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_520_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6897,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1575]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1574,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_521_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6895,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1574]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1573,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_522_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6893,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1573]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1572,plain,
% 0.54/0.75 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_523_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6891,plain,
% 0.54/0.75 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1572]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1571,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_524_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6889,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1571]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1570,plain,
% 0.54/0.75 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_525_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6887,plain,
% 0.54/0.75 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1570]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1569,plain,
% 0.54/0.75 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_526_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6885,plain,
% 0.54/0.75 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1569]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1568,plain,
% 0.54/0.75 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_527_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6883,plain,
% 0.54/0.75 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1568]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1567,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_528_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6881,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1567]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1566,plain,
% 0.54/0.75 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_529_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6879,plain,
% 0.54/0.75 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1566]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1565,plain,
% 0.54/0.75 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_530_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6877,plain,
% 0.54/0.75 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1565]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1564,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_531_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6875,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1564]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1563,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_532_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6873,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1563]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1562,plain,
% 0.54/0.75 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_533_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6871,plain,
% 0.54/0.75 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1562]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1561,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_534_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6869,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1561]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1560,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_535_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6867,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1560]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1559,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_536_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6865,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1559]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1558,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_537_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6863,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1558]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1557,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_538_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6861,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1557]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1556,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_539_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6859,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1556]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1555,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_540_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6857,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1555]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1554,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_541_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6855,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1554]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1553,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_542_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6853,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1553]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1552,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_543_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6851,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1552]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1551,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_544_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6849,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1551]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1550,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_545_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6847,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1550]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1549,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_546_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6845,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1549]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1548,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_547_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6843,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1548]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1547,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_548_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6841,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1547]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1546,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_549_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6839,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1546]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1545,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_550_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6837,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1545]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1544,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_551_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6835,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1544]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1543,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_552_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6833,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1543]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1542,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_553_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6831,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1542]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1541,plain,
% 0.54/0.75 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_554_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6829,plain,
% 0.54/0.75 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1541]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1540,plain,
% 0.54/0.75 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_555_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6827,plain,
% 0.54/0.75 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1540]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1539,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_556_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6825,plain,
% 0.54/0.75 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1539]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1538,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_557_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6823,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1538]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1537,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_558_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6821,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1537]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1536,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_559_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6819,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1536]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1535,plain,
% 0.54/0.75 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_560_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6817,plain,
% 0.54/0.75 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1535]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1534,plain,
% 0.54/0.75 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_561_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6815,plain,
% 0.54/0.75 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1534]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1533,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_562_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6813,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1533]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1532,plain,
% 0.54/0.75 ( class_HOL_Oeq(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_563_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6811,plain,
% 0.54/0.75 ( class_HOL_Oeq(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1532]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1531,plain,
% 0.54/0.75 ( class_HOL_Ozero(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_564_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6809,plain,
% 0.54/0.75 ( class_HOL_Ozero(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1531]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1530,plain,
% 0.54/0.75 ( class_Power_Opower(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_565_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6807,plain,
% 0.54/0.75 ( class_Power_Opower(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1530]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1529,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_566_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6805,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1529]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1528,plain,
% 0.54/0.75 ( class_Divides_Osemiring__div(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_567_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6803,plain,
% 0.54/0.75 ( class_Divides_Osemiring__div(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1528]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1527,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_568_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6801,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1527]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1526,plain,
% 0.54/0.75 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_569_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6799,plain,
% 0.54/0.75 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1526]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1525,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_570_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6797,plain,
% 0.54/0.75 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1525]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1524,plain,
% 0.54/0.75 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_571_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6795,plain,
% 0.54/0.75 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1524]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1523,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_572_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6793,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1523]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1522,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_573_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6791,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1522]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1521,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_574_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6789,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1521]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1520,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_575_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6787,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1520]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1519,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_576_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6785,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1519]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1518,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_577_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6783,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1518]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1517,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_578_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6781,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1517]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1516,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_579_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6779,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1516]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1515,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_580_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6777,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1515]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1514,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_581_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6775,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1514]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1513,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_582_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6773,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1513]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1512,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_583_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6771,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1512]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1511,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_584_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6769,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1511]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1510,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_585_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6767,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1510]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1509,plain,
% 0.54/0.75 ( c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_q,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_586_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6765,plain,
% 0.54/0.75 ( c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_q,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1509]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1508,plain,
% 0.54/0.75 ( c_lessequals(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_q,tc_Complex_Ocomplex),tc_nat) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_587_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6763,plain,
% 0.54/0.75 ( c_lessequals(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_q,tc_Complex_Ocomplex),tc_nat) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1508]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1507,plain,
% 0.54/0.75 ( v_q != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_588_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6761,plain,
% 0.54/0.75 ( v_q != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1507]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1506,plain,
% 0.54/0.75 ( v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_589_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6759,plain,
% 0.54/0.75 ( v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1506]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1504,plain,
% 0.54/0.75 ( ~ class_HOL_Ozero(X0) | class_HOL_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2919_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6755,plain,
% 0.54/0.75 ( ~ class_HOL_Ozero(X0) | class_HOL_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1504]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6756,plain,
% 0.54/0.75 ( class_HOL_Ozero(tc_Polynomial_Opoly(X0)) | ~ class_HOL_Ozero(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6755]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1502,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_Power_Opower(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2918_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6751,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_Power_Opower(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1502]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1500,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.75 | class_Int_Onumber__ring(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2917_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6747,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.75 | class_Int_Onumber__ring(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1500]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1498,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | class_Divides_Oring__div(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2916_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6743,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | class_Divides_Oring__div(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1498]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1496,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2915_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6739,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1496]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6740,plain,
% 0.54/0.75 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6739]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1494,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2914_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6735,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1494]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6736,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6735]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1492,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.75 | class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2913_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6731,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.75 | class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1492]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1490,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2912_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6727,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1490]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1488,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.75 | class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2911_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6723,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.75 | class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1488]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1486,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2910_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6719,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1486]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1484,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.75 | class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2909_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6715,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.75 | class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1484]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1482,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2908_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6711,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1482]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1480,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.75 | class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2907_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6707,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.75 | class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1480]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1478,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2906_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6703,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1478]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1476,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.75 | class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2905_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6699,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.75 | class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1476]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6700,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6699]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1474,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.75 | class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2904_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6695,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.75 | class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1474]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1472,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.75 | class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2903_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6691,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.75 | class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1472]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6692,plain,
% 0.54/0.75 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6691]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1470,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.75 | class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2902_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6687,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.75 | class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1470]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6688,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6687]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1468,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2901_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6683,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1468]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6684,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6683]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1466,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2900_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6679,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1466]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1464,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2899_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6675,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1464]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6676,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6675]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1462,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.75 | class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2898_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6671,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.75 | class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1462]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1460,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2897_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6667,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1460]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1458,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2896_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6663,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1458]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1456,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.75 | class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2895_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6659,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.75 | class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1456]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1454,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.75 | class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2894_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6655,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.75 | class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1454]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6656,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6655]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1452,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2893_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6651,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1452]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6652,plain,
% 0.54/0.75 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6651]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1450,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2892_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6647,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1450]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1448,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2891_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6643,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1448]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6644,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6643]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1446,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2890_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6639,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1446]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1444,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2889_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6635,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1444]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6636,plain,
% 0.54/0.75 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6635]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1442,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2888_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6631,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1442]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6632,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6631]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1440,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2887_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6627,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1440]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1438,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2886_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6623,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1438]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6624,plain,
% 0.54/0.75 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6623]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1436,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2885_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6619,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.75 | class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1436]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1434,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2884_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6615,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0)
% 0.54/0.75 | class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1434]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6616,plain,
% 0.54/0.75 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6615]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1430,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.54/0.75 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2882_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6607,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.54/0.75 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1430]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1427,plain,
% 0.54/0.75 ( ~ class_HOL_Ozero(X0)
% 0.54/0.75 | ~ class_HOL_Oeq(X0)
% 0.54/0.75 | class_HOL_Oeq(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2881_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6601,plain,
% 0.54/0.75 ( ~ class_HOL_Ozero(X0)
% 0.54/0.75 | ~ class_HOL_Oeq(X0)
% 0.54/0.75 | class_HOL_Oeq(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1427]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6602,plain,
% 0.54/0.75 ( class_HOL_Oeq(tc_Polynomial_Opoly(X0))
% 0.54/0.75 | ~ class_HOL_Oeq(X0)
% 0.54/0.75 | ~ class_HOL_Ozero(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6601]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1425,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.75 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2880_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6597,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.75 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1425]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1423,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.75 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2879_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6593,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.75 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1423]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1421,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.75 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2878_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6589,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.75 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1421]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1419,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2877_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6585,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1419]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1417,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2876_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6581,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1417]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1415,plain,
% 0.54/0.75 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2875_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6577,plain,
% 0.54/0.75 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1415]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1413,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2874_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6573,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1413]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1411,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2873_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6569,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1411]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1407,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2871_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6561,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1407]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1405,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2870_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6557,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1405]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1403,plain,
% 0.54/0.75 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2869_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6553,plain,
% 0.54/0.75 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1403]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1401,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2868_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6549,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1401]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1398,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2867_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6543,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1398]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1395,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2866_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6537,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1395]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1392,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2865_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6531,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1392]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1386,plain,
% 0.54/0.75 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2863_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6519,plain,
% 0.54/0.75 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1386]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1383,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2862_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6513,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1383]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1380,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2861_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6507,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1380]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6508,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ozero__class_Ozero(X0) = X1
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6507]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1377,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2860_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6501,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1377]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1374,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2859_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6495,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1374]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1371,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.75 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2858_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6489,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.75 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1371]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1364,plain,
% 0.54/0.75 ( ~ class_Lattices_Oboolean__algebra(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2855_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6475,plain,
% 0.54/0.75 ( ~ class_Lattices_Oboolean__algebra(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1364]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1358,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2852_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6463,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1358]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1354,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2851_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6455,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1354]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1350,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 0.54/0.75 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2850_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6447,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 0.54/0.75 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1350]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1347,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2849_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6441,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1347]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1344,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.54/0.75 | X1 = X2 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2848_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6435,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.54/0.75 | X1 = X2 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1344]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1341,plain,
% 0.54/0.75 ( ~ class_Lattices_Oboolean__algebra(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.54/0.75 | X1 = X2 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2847_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6429,plain,
% 0.54/0.75 ( ~ class_Lattices_Oboolean__algebra(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.54/0.75 | X1 = X2 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1341]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1338,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2846_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6423,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1338]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1336,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2845_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6419,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1336]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1334,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2844_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6415,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.75 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1334]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1332,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2843_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6411,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1332]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1328,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.54/0.75 | X1 = X2 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2842_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6403,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.54/0.75 | X1 = X2 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1328]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1326,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.75 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2841_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6399,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.75 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1326]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1324,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.75 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2840_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6395,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.75 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1324]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1322,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2839_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6391,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.75 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1322]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1320,plain,
% 0.54/0.75 ( ~ class_HOL_Oeq(X0) | c_HOL_Oeq__class_Oeq(X1,X1,X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2838_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6387,plain,
% 0.54/0.75 ( ~ class_HOL_Oeq(X0) | c_HOL_Oeq__class_Oeq(X1,X1,X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1320]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6388,plain,
% 0.54/0.75 ( c_HOL_Oeq__class_Oeq(X0,X0,X1) | ~ class_HOL_Oeq(X1) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6387]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1318,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2837_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6383,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1318]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6384,plain,
% 0.54/0.75 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6383]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1316,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.54/0.75 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2836_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6379,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.54/0.75 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1316]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1312,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.54/0.75 | X1 = X2
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2835_1) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6371,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.54/0.75 | X1 = X2
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1312]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6372,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.54/0.75 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.75 | X1 = X2 ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6371]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1307,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2833_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6361,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1307]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1305,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.75 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2832_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6357,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.75 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1305]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1303,plain,
% 0.54/0.75 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.75 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2831_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6353,plain,
% 0.54/0.75 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.75 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1303]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1301,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2830_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6349,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1301]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6350,plain,
% 0.54/0.75 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6349]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1299,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2829_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6345,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1299]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6346,plain,
% 0.54/0.75 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 0.54/0.75 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.54/0.75 inference(rewriting,[status(thm)],[c_6345]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1295,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2827_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6337,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1295]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1293,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2826_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6333,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1293]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1291,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2825_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6329,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1291]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1289,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2824_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6325,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1289]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1287,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2823_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6321,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1287]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1285,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2822_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6317,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 0.54/0.75 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1285]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1283,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2821_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6313,plain,
% 0.54/0.75 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.75 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1283]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1281,plain,
% 0.54/0.75 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.75 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2820_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6309,plain,
% 0.54/0.75 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.75 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1281]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1279,plain,
% 0.54/0.75 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.75 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2819_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6305,plain,
% 0.54/0.75 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.75 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1279]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1277,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2818_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6301,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.75 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1277]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1275,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2817_0) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_6297,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.54/0.75 inference(copy,[status(esa)],[c_1275]) ).
% 0.54/0.75
% 0.54/0.75 cnf(c_1271,plain,
% 0.54/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.75 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.54/0.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2815_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6289,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1271]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1269,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2814_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6285,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1269]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1267,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2813_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6281,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1267]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1265,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2812_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6277,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1265]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1263,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2811_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6273,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1263]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1257,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2809_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6261,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1257]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6262,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_6261]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1254,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2808_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6255,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1254]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1252,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2807_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6251,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1252]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1250,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2806_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6247,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1250]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1248,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.76 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2805_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6243,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.76 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1248]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1246,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.76 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2804_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6239,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.76 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1246]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1244,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2803_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6235,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1244]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1242,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2802_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6231,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1242]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1240,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2801_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6227,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1240]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1236,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2799_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6219,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1236]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1232,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2797_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6211,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1232]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1230,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2796_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6207,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1230]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1226,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2794_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6199,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1226]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1224,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2793_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6195,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1224]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1222,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2792_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6191,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1222]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1220,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2791_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6187,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1220]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1218,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2790_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6183,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1218]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1216,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2789_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6179,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1216]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1214,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.54/0.76 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2788_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6175,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.54/0.76 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1214]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1211,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2787_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6169,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1211]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1209,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X0) = c_Polynomial_Odegree(X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2786_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6165,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X0) = c_Polynomial_Odegree(X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1209]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1206,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | ~ class_HOL_Oeq(X0)
% 0.54/0.76 | c_HOL_Oeq__class_Oeq(X1,X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2785_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6159,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | ~ class_HOL_Oeq(X0)
% 0.54/0.76 | c_HOL_Oeq__class_Oeq(X1,X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1206]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6160,plain,
% 0.54/0.76 ( c_HOL_Oeq__class_Oeq(X0,X0,tc_Polynomial_Opoly(X1))
% 0.54/0.76 | ~ class_HOL_Oeq(X1)
% 0.54/0.76 | ~ class_HOL_Ozero(X1) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_6159]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1203,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2784_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6153,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1203]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1201,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2783_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6149,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1201]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1199,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2782_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6145,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1199]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1197,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2781_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6141,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1197]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1195,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2780_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6137,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1195]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1191,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2779_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6129,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1191]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1182,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2776_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6111,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1182]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1180,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2775_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6107,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1180]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1178,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2774_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6103,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1178]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1176,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2773_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6099,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1176]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1174,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2772_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6095,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1174]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1172,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2771_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6091,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1172]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1169,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2770_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6085,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1169]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1165,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2769_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6077,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1165]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1163,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2768_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6073,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1163]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1161,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2767_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6069,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1161]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1159,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2766_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6065,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1159]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1157,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.76 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2765_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6061,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.76 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1157]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1155,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.76 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2764_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6057,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.76 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1155]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1150,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2762_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6047,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1150]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1147,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2761_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6041,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1147]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1145,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2760_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6037,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1145]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1143,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2759_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6033,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1143]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1141,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2758_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6029,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1141]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1139,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2757_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6025,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1139]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1137,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2756_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6021,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1137]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1133,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2754_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6013,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1133]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1131,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2753_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6009,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1131]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1129,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2752_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_6005,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1129]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1126,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2751_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5999,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1126]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1123,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2750_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5993,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1123]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1114,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2747_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5975,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1114]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1109,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2745_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5965,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1109]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1107,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2744_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5961,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1107]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1105,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2743_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5957,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1105]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1102,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2742_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5951,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1102]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1099,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2741_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5945,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1099]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1096,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2740_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5939,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1096]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1093,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2739_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5933,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1093]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1090,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2738_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5927,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1090]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1088,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2737_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5923,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1088]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1085,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2736_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5917,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1085]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1082,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 0.54/0.76 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2735_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5911,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 0.54/0.76 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1082]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1080,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2734_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5907,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1080]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1073,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2732_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5893,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1073]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1069,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2731_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5885,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1069]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1064,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2729_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5875,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1064]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1060,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2728_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5867,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1060]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1053,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2726_1) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5853,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1053]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1052,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2726_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5851,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1052]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1049,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2725_1) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5845,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1049]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1048,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2725_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5843,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1048]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1045,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | ~ class_HOL_Oeq(X0)
% 0.54/0.76 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2724_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5837,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | ~ class_HOL_Oeq(X0)
% 0.54/0.76 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1045]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5838,plain,
% 0.54/0.76 ( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.54/0.76 | ~ class_HOL_Oeq(X0)
% 0.54/0.76 | ~ class_HOL_Ozero(X0) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5837]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1039,plain,
% 0.54/0.76 ( ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2722_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5825,plain,
% 0.54/0.76 ( ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1039]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1036,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Omonom(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2721_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5819,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Omonom(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1036]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1033,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2720_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5813,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1033]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1030,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2719_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5807,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1030]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1027,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2718_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5801,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1027]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1025,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2717_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5797,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1025]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1023,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.76 | 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 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2716_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5793,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.54/0.76 | 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 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1023]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1020,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2715_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5787,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1020]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1018,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(X1,X2,X0) = c_Polynomial_Opoly__gcd(X2,X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2714_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5783,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(X1,X2,X0) = c_Polynomial_Opoly__gcd(X2,X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1018]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1016,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2713_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5779,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1016]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1012,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2711_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5771,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1012]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1008,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2709_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5763,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1008]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1005,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2708_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5757,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1005]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_1002,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2707_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5751,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_1002]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_999,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2706_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5745,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_999]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_996,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2705_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5739,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_996]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_992,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_Polynomial_Osmult(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2704_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5731,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_Polynomial_Osmult(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_992]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_984,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2702_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5715,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_984]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_982,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2701_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5711,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_982]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_979,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Odegree(c_Polynomial_Omonom(X1,X2,X0),X0) = X2
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2700_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5705,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Odegree(c_Polynomial_Omonom(X1,X2,X0),X0) = X2
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_979]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_977,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2699_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5701,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_977]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_975,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2698_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5697,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_975]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_971,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2696_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5689,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_971]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_969,plain,
% 0.54/0.76 ( ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2695_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5685,plain,
% 0.54/0.76 ( ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_969]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_967,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2694_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5681,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_967]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_965,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X0) = c_Polynomial_Odegree(X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2693_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5677,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X0) = c_Polynomial_Odegree(X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_965]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_963,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2692_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5673,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_963]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_960,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_Polynomial_Odegree(c_Polynomial_Osmult(X1,X2,X0),X0) = c_Polynomial_Odegree(X2,X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2691_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5667,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_Polynomial_Odegree(c_Polynomial_Osmult(X1,X2,X0),X0) = c_Polynomial_Odegree(X2,X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_960]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_957,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2690_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5661,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_957]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_954,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(c_Polynomial_OpCons(X2,X1,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2689_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5655,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(c_Polynomial_OpCons(X2,X1,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_954]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5656,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X0),X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5655]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_951,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2688_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5649,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_951]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_946,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,X0) = c_Polynomial_Opoly__gcd(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2686_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5639,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,X0) = c_Polynomial_Opoly__gcd(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_946]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_941,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0) = c_Polynomial_Opoly__gcd(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2684_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5629,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Polynomial_Opoly__gcd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0) = c_Polynomial_Opoly__gcd(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_941]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_939,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2683_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5625,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_939]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_937,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2682_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5621,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_937]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_935,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2681_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5617,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_935]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_933,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2680_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5613,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_933]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_931,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2679_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5609,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_931]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5610,plain,
% 0.54/0.76 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.54/0.76 | ~ class_Ring__and__Field_Odvd(X2) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5609]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_929,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2678_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5605,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_929]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5606,plain,
% 0.54/0.76 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.54/0.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5605]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_927,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2677_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5601,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_927]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5602,plain,
% 0.54/0.76 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 0.54/0.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5601]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_925,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2676_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5597,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_925]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_923,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(X1,X2,X0),X2,X0) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2675_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5593,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(X1,X2,X0),X2,X0) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_923]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_921,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2674_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5589,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_921]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_919,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2673_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5585,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_919]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_917,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2672_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5581,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_917]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_915,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2671_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5577,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_915]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_912,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2670_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5571,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_912]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_909,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2669_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5565,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_909]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5566,plain,
% 0.54/0.76 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.76 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5565]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_906,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2668_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5559,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_906]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5560,plain,
% 0.54/0.76 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.54/0.76 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5559]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_903,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2667_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5553,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_903]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5554,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5553]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_900,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2666_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5547,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_900]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5548,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5547]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_898,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X0),X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2665_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5543,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X0),X1,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_898]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_896,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X0),X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2664_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5539,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X0),X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_896]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_893,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(X1,X2,X0),X3,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = X3 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2663_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5533,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(X1,X2,X0),X3,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = X3 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_893]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_890,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2662_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5527,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_890]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_887,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2661_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5521,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_887]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_881,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2659_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5509,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_881]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5510,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5509]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_878,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2658_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5503,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_878]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_875,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Omonom(X1,X2,X0) != c_Polynomial_Omonom(X3,X2,X0)
% 0.54/0.76 | X1 = X3 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2657_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5497,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_Omonom(X1,X2,X0) != c_Polynomial_Omonom(X3,X2,X0)
% 0.54/0.76 | X1 = X3 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_875]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_872,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2656_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5491,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_872]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_869,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 0.54/0.76 | X2 = X3 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2655_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5485,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 0.54/0.76 | X2 = X3 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_869]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_866,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 0.54/0.76 | X1 = X3 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2654_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5479,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 0.54/0.76 | X1 = X3 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_866]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_863,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.54/0.76 | X2 = X3 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2653_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5473,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.54/0.76 | X2 = X3 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_863]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_860,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.54/0.76 | X2 = X3 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2652_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5467,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.54/0.76 | X2 = X3 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_860]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_857,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_OpCons(X1,X2,X0) != c_Polynomial_OpCons(X3,X4,X0)
% 0.54/0.76 | X2 = X4 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2651_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5461,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_OpCons(X1,X2,X0) != c_Polynomial_OpCons(X3,X4,X0)
% 0.54/0.76 | X2 = X4 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_857]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_854,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_OpCons(X1,X2,X0) != c_Polynomial_OpCons(X3,X4,X0)
% 0.54/0.76 | X1 = X3 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2650_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5455,plain,
% 0.54/0.76 ( ~ class_HOL_Ozero(X0)
% 0.54/0.76 | c_Polynomial_OpCons(X1,X2,X0) != c_Polynomial_OpCons(X3,X4,X0)
% 0.54/0.76 | X1 = X3 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_854]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_846,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2648_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5439,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_846]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_838,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2646_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5423,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_838]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_836,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2645_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5419,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_836]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_832,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.76 | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = X3 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2644_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5411,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.76 | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = X3 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_832]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_830,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2643_2) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5407,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_830]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_826,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2642_2) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5399,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_826]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_822,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2641_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5391,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_822]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5392,plain,
% 0.54/0.76 ( 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)
% 0.54/0.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5391]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_818,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.54/0.76 | X2 = X3 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2640_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5383,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.54/0.76 | X2 = X3 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_818]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_809,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2637_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5365,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_809]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_806,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2636_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5359,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_806]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_803,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2635_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5353,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_803]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_800,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Osmult(X1,X2,X0) != c_Polynomial_OpCons(X3,X2,X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2634_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5347,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Polynomial_Osmult(X1,X2,X0) != c_Polynomial_OpCons(X3,X2,X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_800]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_794,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2632_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5335,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_794]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_792,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2631_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5331,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_792]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_790,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2630_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5327,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_790]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_786,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 0.54/0.76 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2629_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5319,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 0.54/0.76 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.54/0.76 | X1 = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_786]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_784,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2628_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5315,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_784]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_782,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2627_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5311,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_782]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_780,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2626_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5307,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_780]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_776,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2624_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5299,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_776]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_772,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2622_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5291,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_772]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_770,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2621_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5287,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_770]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_768,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2620_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5283,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_768]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_766,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2619_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5279,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_766]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_764,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2618_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5275,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_764]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_762,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2617_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5271,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oring(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_762]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_759,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2616_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5265,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_759]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_756,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2615_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5259,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_756]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_754,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.76 | c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X1,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2614_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5255,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.76 | c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X1,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_754]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_752,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(X1,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2613_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5251,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(X1,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_752]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_749,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2612_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5245,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_749]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_746,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2611_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5239,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_746]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_744,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.76 | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X1,X2,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2610_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5235,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.76 | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X1,X2,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_744]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_742,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Ocoeff(X1,X2,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2609_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5231,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_Polynomial_Ocoeff(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Ocoeff(X1,X2,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_742]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_740,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2608_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5227,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 0.54/0.76 inference(copy,[status(esa)],[c_740]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_738,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2607_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5223,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_738]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_736,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2606_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5219,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_736]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_734,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2605_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5215,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_734]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_732,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2604_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5211,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.76 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_732]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_728,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X0),X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | c_Polynomial_Opos__poly(X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2603_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5203,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X0),X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.76 | c_Polynomial_Opos__poly(X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_728]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5204,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X0),X0)
% 0.54/0.76 | c_Polynomial_Opos__poly(X2,X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5203]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_726,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.76 | c_Polynomial_Osmult(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X1,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2602_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5199,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.76 | c_Polynomial_Osmult(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X1,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_726]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_724,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2601_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5195,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_724]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_722,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2600_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5191,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_722]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_720,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2599_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5187,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_720]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_718,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2598_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5183,plain,
% 0.54/0.76 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_718]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_716,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2597_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5179,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_716]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_714,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2596_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5175,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_714]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_712,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2595_2) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5171,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_712]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5172,plain,
% 0.54/0.76 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.54/0.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5171]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_707,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2594_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5161,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_707]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_695,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2590_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5137,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_695]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_689,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2588_1) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5125,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_689]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_688,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2588_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5123,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.76 | 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)
% 0.54/0.76 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_688]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_686,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2587_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5119,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_686]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_684,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2586_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5115,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_684]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_682,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2585_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5111,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_682]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_679,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2584_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5105,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_679]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5106,plain,
% 0.54/0.76 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.54/0.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5105]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_676,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2583_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5099,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_676]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5100,plain,
% 0.54/0.76 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.54/0.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5099]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_667,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X3,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2580_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5081,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.76 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X3,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_667]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5082,plain,
% 0.54/0.76 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Osmult(X1,X2,X3),tc_Polynomial_Opoly(X3))
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(X3))
% 0.54/0.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5081]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_652,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 0.54/0.76 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2576_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5051,plain,
% 0.54/0.76 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.76 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 0.54/0.76 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_652]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_650,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X2,X0) = c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2575_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5047,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.76 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X2,X0) = c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_650]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_636,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2571_2) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5019,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.54/0.76 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.76 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_636]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_632,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2570_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5011,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_632]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5012,plain,
% 0.54/0.76 ( 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)
% 0.54/0.76 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5011]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_630,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2569_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5007,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_630]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5008,plain,
% 0.54/0.76 ( 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)
% 0.54/0.76 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.54/0.76 inference(rewriting,[status(thm)],[c_5007]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_628,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2568_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_5003,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.54/0.76 | 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) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_628]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_625,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),X2,tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2567_0) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_4997,plain,
% 0.54/0.76 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),X2,tc_Polynomial_Opoly(X0))
% 0.54/0.76 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.76 inference(copy,[status(esa)],[c_625]) ).
% 0.54/0.76
% 0.54/0.76 cnf(c_623,plain,
% 0.54/0.76 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2566_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4993,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_623]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_611,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X2,X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2562_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4969,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X2,X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_611]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4970,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4969]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_609,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2561_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4965,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_609]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_607,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X2,X3,X0),X0) = c_Polynomial_Opoly(c_Polynomial_Omonom(X1,X3,X0),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2560_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4961,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X2,X3,X0),X0) = c_Polynomial_Opoly(c_Polynomial_Omonom(X1,X3,X0),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_607]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_605,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2559_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4957,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_605]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_601,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2557_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4949,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_601]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_599,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2556_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4945,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_599]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_597,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2555_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4941,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_597]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_595,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X3,X0),X0) = c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X0),X3,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2554_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4937,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X3,X0),X0) = c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X0),X3,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_595]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_591,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2552_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4929,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_591]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_589,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2551_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4925,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_589]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_585,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2549_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4917,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_585]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_583,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2548_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4913,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_583]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_581,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2547_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4909,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_581]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_579,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2546_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4905,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_579]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_577,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2545_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4901,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_577]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_575,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Ocoeff(X2,X3,X0),X0) = c_Polynomial_Ocoeff(c_Polynomial_Osmult(X1,X2,X0),X3,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2544_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4897,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Ocoeff(X2,X3,X0),X0) = c_Polynomial_Ocoeff(c_Polynomial_Osmult(X1,X2,X0),X3,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_575]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_573,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X3,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2543_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4893,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X3,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_573]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_571,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.77 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2542_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4889,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.77 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_571]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_569,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2541_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4885,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_569]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_567,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2540_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4881,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_567]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_563,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2538_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4873,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_563]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_559,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2536_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4865,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_559]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_557,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Osmult(X1,c_Polynomial_Omonom(X2,X3,X0),X0) = c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2535_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4861,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Osmult(X1,c_Polynomial_Omonom(X2,X3,X0),X0) = c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_557]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_555,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X1,X2,X0),X3,X0) = c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2534_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4857,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X1,X2,X0),X3,X0) = c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_555]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_553,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),X0) = c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X1,X3,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2533_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4853,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),X0) = c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X1,X3,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_553]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_551,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2532_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4849,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_551]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_547,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2530_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4841,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_547]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_543,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2528_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4833,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_543]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_541,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2527_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4829,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_541]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_539,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2526_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4825,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_539]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_536,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2525_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4819,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_536]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_533,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2524_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4813,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_533]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_527,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2522_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4801,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_527]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_524,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2521_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4795,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_524]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_521,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2520_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4789,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_521]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_513,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0))
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2518_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4773,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0))
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_513]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_509,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0))
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X0))
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2517_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4765,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0))
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X0))
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_509]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_507,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2516_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4761,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_507]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_504,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2515_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4755,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_504]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4756,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4755]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_501,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2514_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4749,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_501]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_498,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2513_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4743,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_498]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_496,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2512_2) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4739,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_496]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4740,plain,
% 0.54/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.54/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4739]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_486,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2510_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4719,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_486]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4720,plain,
% 0.54/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.54/0.77 | ~ class_Divides_Osemiring__div(X3) ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4719]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_488,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2510_2) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4723,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_488]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4724,plain,
% 0.54/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.54/0.77 | ~ class_Divides_Osemiring__div(X3) ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4723]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_484,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2509_2) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4715,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_484]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_480,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2508_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4707,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_480]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_478,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2507_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4703,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_478]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_474,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2506_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4695,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_474]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_470,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2505_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4687,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_470]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_468,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2504_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4683,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_468]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_466,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2503_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4679,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X2,c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_466]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_463,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2502_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4673,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_463]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_461,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Osynthetic__divmod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_Pair(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(X0),tc_Polynomial_Opoly(X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2501_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4669,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Osynthetic__divmod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_Pair(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(X0),tc_Polynomial_Opoly(X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_461]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_458,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2500_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4663,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_458]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4664,plain,
% 0.54/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4663]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_455,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2499_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4657,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_455]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4658,plain,
% 0.54/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.77 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4657]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_452,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2498_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4651,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_452]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4652,plain,
% 0.54/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.54/0.77 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4651]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_446,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2496_2) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4639,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_446]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_434,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2493_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4615,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_434]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_423,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2490_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4593,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 0.54/0.77 inference(copy,[status(esa)],[c_423]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_412,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) != c_Polynomial_OpCons(X4,X3,X0)
% 0.54/0.77 | X3 = c_Polynomial_Osynthetic__div(X1,X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2487_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4571,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) != c_Polynomial_OpCons(X4,X3,X0)
% 0.54/0.77 | X3 = c_Polynomial_Osynthetic__div(X1,X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_412]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_409,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) != c_Polynomial_OpCons(X4,X3,X0)
% 0.54/0.77 | X4 = c_Polynomial_Opoly(X1,X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2486_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4565,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) != c_Polynomial_OpCons(X4,X3,X0)
% 0.54/0.77 | X4 = c_Polynomial_Opoly(X1,X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_409]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_393,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(X1,X2,X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(X1,X2,X0),X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2482_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4533,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(X1,X2,X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(X1,X2,X0),X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_393]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_390,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(X1,X2,X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(X1,X2,X0),X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2481_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4527,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(X1,X2,X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(X1,X2,X0),X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_390]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_388,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2480_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4523,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_388]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_386,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2479_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4519,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_386]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_384,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2478_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4515,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_384]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_382,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2477_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4511,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_382]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_380,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2476_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4507,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_380]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_378,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2475_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4503,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_378]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_376,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2474_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4499,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_376]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_374,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2473_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4495,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_374]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_372,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2472_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4491,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_372]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_368,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2470_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4483,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_368]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_364,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2468_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4475,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_364]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_360,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X0),X3,X0) = c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X3,X0),c_Polynomial_Osynthetic__div(X2,X3,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2466_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4467,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X0),X3,X0) = c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X3,X0),c_Polynomial_Osynthetic__div(X2,X3,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_360]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_358,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2465_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4463,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_358]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_356,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2464_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4459,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_356]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_354,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2463_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4455,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_354]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_352,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2462_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4451,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__vector(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_352]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_350,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2461_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4447,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_350]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_348,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2460_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4443,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_348]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_344,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2458_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4435,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_344]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_340,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2456_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4427,plain,
% 0.54/0.77 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_340]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_338,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2455_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4423,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_338]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_336,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2454_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4419,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_336]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_334,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2453_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4415,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_334]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_332,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),X0) = c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2452_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4411,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),X0) = c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_332]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_329,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2451_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4405,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_329]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_326,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2450_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4399,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_326]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_323,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2449_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4393,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_323]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_321,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_Omonom(X1,X2,X0),c_Polynomial_Omonom(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2448_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4389,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_Omonom(X1,X2,X0),c_Polynomial_Omonom(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_321]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_319,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2447_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4385,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_319]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_317,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Omonom(X1,X2,X0),c_Polynomial_Omonom(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2446_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4381,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Omonom(X1,X2,X0),c_Polynomial_Omonom(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_317]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_315,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2445_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4377,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_315]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_312,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2444_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4371,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_312]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_310,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2443_2) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4367,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_310]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4368,plain,
% 0.54/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 0.54/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4367]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_306,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2442_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4359,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_306]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_304,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2441_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4355,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_304]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_302,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2440_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4351,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_302]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_300,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Ocoeff(X1,X2,X0),c_Polynomial_Ocoeff(X3,X2,X0),X0) = c_Polynomial_Ocoeff(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2439_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4347,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Ocoeff(X1,X2,X0),c_Polynomial_Ocoeff(X3,X2,X0),X0) = c_Polynomial_Ocoeff(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_300]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_298,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_Ocoeff(X1,X2,X0),c_Polynomial_Ocoeff(X3,X2,X0),X0) = c_Polynomial_Ocoeff(c_HOL_Ominus__class_Ominus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2438_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4343,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_Ocoeff(X1,X2,X0),c_Polynomial_Ocoeff(X3,X2,X0),X0) = c_Polynomial_Ocoeff(c_HOL_Ominus__class_Ominus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_298]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_291,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2436_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4329,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_291]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_289,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2435_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4325,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_289]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_286,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(X3,X2,X0),tc_Polynomial_Opoly(X0)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2434_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4319,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(X3,X2,X0),tc_Polynomial_Opoly(X0)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_286]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_279,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0),X0),X1,X0) = c_Polynomial_Opoly__gcd(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2432_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4305,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0),X0),X1,X0) = c_Polynomial_Opoly__gcd(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_279]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_277,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2431_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4301,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_277]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_267,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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 ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2428_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4281,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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 ),
% 0.54/0.77 inference(copy,[status(esa)],[c_267]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_265,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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 ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2427_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4277,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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 ),
% 0.54/0.77 inference(copy,[status(esa)],[c_265]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_261,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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 ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2425_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4269,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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 ),
% 0.54/0.77 inference(copy,[status(esa)],[c_261]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_245,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X3 = X4
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2421_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4237,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X3 = X4
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_245]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4238,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X3 = X4 ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4237]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_243,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2420_3) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4233,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_243]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4234,plain,
% 0.54/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.54/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.54/0.77 | ~ class_Divides_Osemiring__div(X2) ),
% 0.54/0.77 inference(rewriting,[status(thm)],[c_4233]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_238,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X3,X2,X0),X0),X0) = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X3,X0),X2,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2419_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4223,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X3,X2,X0),X0),X0) = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X3,X0),X2,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_238]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_234,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2417_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4215,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_234]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_232,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2416_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4211,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_232]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_226,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2413_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4199,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_226]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_224,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2412_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4195,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_224]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_222,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2411_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4191,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_222]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_220,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2410_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4187,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_220]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_218,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2409_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4183,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_218]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_216,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2408_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4179,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_216]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_214,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2407_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4175,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_214]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_211,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2406_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4169,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_211]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_208,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2405_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4163,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_208]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_202,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2403_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4151,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.54/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_202]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_199,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2402_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4145,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_199]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_195,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2401_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4137,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_195]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_191,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2400_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4129,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_191]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_189,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2399_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4125,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_189]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_187,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2398_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4121,plain,
% 0.54/0.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.54/0.77 | c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,tc_Polynomial_Opoly(X0)),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_187]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_184,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2397_1) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4115,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_184]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_183,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2397_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4113,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_183]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_180,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2396_1) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4107,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_180]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_179,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2396_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4105,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_179]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_176,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2395_1) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4099,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_176]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_175,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2395_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4097,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.54/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_175]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_163,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2391_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4073,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.54/0.77 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_163]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_161,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2390_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4069,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_161]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_159,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2389_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4065,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.54/0.77 | 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) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_159]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_157,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,c_Polynomial_Osynthetic__div(X1,X2,X0),X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Osynthetic__div(X1,X2,X0),X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2388_0) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4061,plain,
% 0.54/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.77 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,c_Polynomial_Osynthetic__div(X1,X2,X0),X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Osynthetic__div(X1,X2,X0),X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_157]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_150,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.54/0.77 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.54/0.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2386_2) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_4047,plain,
% 0.54/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.77 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.54/0.77 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.54/0.77 inference(copy,[status(esa)],[c_150]) ).
% 0.54/0.77
% 0.54/0.77 cnf(c_146,plain,
% 0.54/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.77 | 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)
% 0.54/0.78 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.54/0.78 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.54/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2385_2) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_4039,plain,
% 0.54/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.78 | 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)
% 0.54/0.78 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.54/0.78 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.54/0.78 inference(copy,[status(esa)],[c_146]) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_142,plain,
% 0.54/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.78 | 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)
% 0.54/0.78 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.54/0.78 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.54/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2384_2) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_4031,plain,
% 0.54/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.78 | 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)
% 0.54/0.78 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.54/0.78 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.54/0.78 inference(copy,[status(esa)],[c_142]) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_138,plain,
% 0.54/0.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.78 | c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(c_HOL_Oone__class_Oone(X0),X1,X0),X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X3,X1,X0),c_Polynomial_Opoly(X2,X3,X0),X0) ),
% 0.54/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2383_0) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_4023,plain,
% 0.54/0.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.54/0.78 | c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(c_HOL_Oone__class_Oone(X0),X1,X0),X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X3,X1,X0),c_Polynomial_Opoly(X2,X3,X0),X0) ),
% 0.54/0.78 inference(copy,[status(esa)],[c_138]) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_136,plain,
% 0.54/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.78 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(X2,c_Polynomial_OpCons(X1,X3,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2382_0) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_4019,plain,
% 0.54/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.78 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(X2,c_Polynomial_OpCons(X1,X3,X0),tc_Polynomial_Opoly(X0)) ),
% 0.54/0.78 inference(copy,[status(esa)],[c_136]) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_134,plain,
% 0.54/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.78 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X1,X3,X0),X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2381_0) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_4015,plain,
% 0.54/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.78 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X1,X3,X0),X2,tc_Polynomial_Opoly(X0)) ),
% 0.54/0.78 inference(copy,[status(esa)],[c_134]) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_132,plain,
% 0.54/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.78 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opcompose(X3,X2,X0),tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Polynomial_Opcompose(c_Polynomial_OpCons(X1,X3,X0),X2,X0) ),
% 0.54/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2380_0) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_4011,plain,
% 0.54/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.54/0.78 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opcompose(X3,X2,X0),tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Polynomial_Opcompose(c_Polynomial_OpCons(X1,X3,X0),X2,X0) ),
% 0.54/0.78 inference(copy,[status(esa)],[c_132]) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_126,plain,
% 0.54/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.78 | 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) ),
% 0.54/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2378_0) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_3999,plain,
% 0.54/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.78 | 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) ),
% 0.54/0.78 inference(copy,[status(esa)],[c_126]) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_124,plain,
% 0.54/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.78 | 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) ),
% 0.54/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2377_0) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_3995,plain,
% 0.54/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.54/0.78 | 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) ),
% 0.54/0.78 inference(copy,[status(esa)],[c_124]) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_122,plain,
% 0.54/0.78 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.78 | 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) ),
% 0.54/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2376_0) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_3991,plain,
% 0.54/0.78 ( ~ class_Divides_Oring__div(X0)
% 0.54/0.78 | 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) ),
% 0.54/0.78 inference(copy,[status(esa)],[c_122]) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_120,plain,
% 0.54/0.78 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 0.54/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2375_0) ).
% 0.54/0.78
% 0.54/0.78 cnf(c_3987,plain,
% 0.54/0.78 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 0.62/0.78 inference(copy,[status(esa)],[c_120]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_118,plain,
% 0.62/0.78 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2374_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3983,plain,
% 0.62/0.78 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 0.62/0.78 inference(copy,[status(esa)],[c_118]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_106,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.62/0.78 | ~ class_Int_Onumber__ring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X1 = X3
% 0.62/0.78 | X2 = X4 ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2371_1) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3959,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.62/0.78 | ~ class_Int_Onumber__ring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X1 = X3
% 0.62/0.78 | X2 = X4 ),
% 0.62/0.78 inference(copy,[status(esa)],[c_106]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_105,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.62/0.78 | ~ class_Int_Onumber__ring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X2 = X4
% 0.62/0.78 | X1 = X3 ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2371_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3957,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.62/0.78 | ~ class_Int_Onumber__ring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X2 = X4
% 0.62/0.78 | X1 = X3 ),
% 0.62/0.78 inference(copy,[status(esa)],[c_105]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_103,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Osemiring(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2370_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3953,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Osemiring(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_103]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_101,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.62/0.78 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0),X0),c_Polynomial_OpCons(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0),X0),tc_Polynomial_Opoly(X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X3,X2,X0),X1,X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2369_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3949,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.62/0.78 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0),X0),c_Polynomial_OpCons(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0),X0),tc_Polynomial_Opoly(X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X3,X2,X0),X1,X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_101]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_98,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2368_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3943,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_98]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_95,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2367_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3937,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 0.62/0.78 inference(copy,[status(esa)],[c_95]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3938,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oring(X0)
% 0.62/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 0.62/0.78 | 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) ),
% 0.62/0.78 inference(rewriting,[status(thm)],[c_3937]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_89,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2365_1) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3925,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_89]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_88,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2365_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3923,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_88]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_85,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2364_1) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3917,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_85]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_84,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2364_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3915,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_84]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_81,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2363_1) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3909,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_81]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_80,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2363_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3907,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_80]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_78,plain,
% 0.62/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2362_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3903,plain,
% 0.62/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_78]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_76,plain,
% 0.62/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2361_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3899,plain,
% 0.62/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_76]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_72,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oring(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2359_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3891,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Oring(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_72]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_65,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2357_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3877,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_65]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3878,plain,
% 0.62/0.78 ( c_Polynomial_Opdivmod__rel(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0,X1)
% 0.62/0.78 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.62/0.78 inference(rewriting,[status(thm)],[c_3877]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_63,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2356_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3873,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_63]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3874,plain,
% 0.62/0.78 ( c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
% 0.62/0.78 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.62/0.78 inference(rewriting,[status(thm)],[c_3873]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_53,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.62/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),c_Polynomial_Osynthetic__div(X2,X1,X0),tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = X2 ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2353_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3853,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.62/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),c_Polynomial_Osynthetic__div(X2,X1,X0),tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = X2 ),
% 0.62/0.78 inference(copy,[status(esa)],[c_53]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_51,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2352_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3849,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_51]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3850,plain,
% 0.62/0.78 ( c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
% 0.62/0.78 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.62/0.78 inference(rewriting,[status(thm)],[c_3849]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_49,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2351_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3845,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_49]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3846,plain,
% 0.62/0.78 ( c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0)
% 0.62/0.78 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.62/0.78 inference(rewriting,[status(thm)],[c_3845]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_31,plain,
% 0.62/0.78 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2345_1) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3809,plain,
% 0.62/0.78 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_31]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_30,plain,
% 0.62/0.78 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2345_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3807,plain,
% 0.62/0.78 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.62/0.78 | 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)
% 0.62/0.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.62/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_30]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_25,plain,
% 0.62/0.78 ( ~ class_RealVector_Oreal__field(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2343_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3797,plain,
% 0.62/0.78 ( ~ class_RealVector_Oreal__field(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_25]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_23,plain,
% 0.62/0.78 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2342_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3793,plain,
% 0.62/0.78 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.62/0.78 | 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) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_23]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_16,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(X5,X1,X0),X2,c_Polynomial_Osmult(X5,X3,X0),c_Polynomial_Osmult(X5,X4,X0),X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2340_0) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3779,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(X5,X1,X0),X2,c_Polynomial_Osmult(X5,X3,X0),c_Polynomial_Osmult(X5,X4,X0),X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_16]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3780,plain,
% 0.62/0.78 ( c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(X0,X1,X2),X3,c_Polynomial_Osmult(X0,X4,X2),c_Polynomial_Osmult(X0,X5,X2),X2)
% 0.62/0.78 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X4,X5,X2)
% 0.62/0.78 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.62/0.78 inference(rewriting,[status(thm)],[c_3779]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_6,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Polynomial_Opoly(X0)),X6,tc_Polynomial_Opoly(X0)),X0)
% 0.62/0.78 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X7,X6,X0)
% 0.62/0.78 | ~ c_Polynomial_Opdivmod__rel(X7,X3,X4,X5,X0) ),
% 0.62/0.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2337_2) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3759,plain,
% 0.62/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.62/0.78 | c_Polynomial_Opdivmod__rel(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Polynomial_Opoly(X0)),X6,tc_Polynomial_Opoly(X0)),X0)
% 0.62/0.78 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X7,X6,X0)
% 0.62/0.78 | ~ c_Polynomial_Opdivmod__rel(X7,X3,X4,X5,X0) ),
% 0.62/0.78 inference(copy,[status(esa)],[c_6]) ).
% 0.62/0.78
% 0.62/0.78 cnf(c_3760,plain,
% 0.62/0.78 ( c_Polynomial_Opdivmod__rel(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X5,tc_Polynomial_Opoly(X3)),X6,tc_Polynomial_Opoly(X3)),X3)
% 0.62/0.78 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X7,X6,X3)
% 0.62/0.78 | ~ c_Polynomial_Opdivmod__rel(X7,X2,X4,X5,X3)
% 0.62/0.78 | ~ class_Ring__and__Field_Ofield(X3) ),
% 0.62/0.78 inference(rewriting,[status(thm)],[c_3759]) ).
% 0.62/0.78
% 0.62/0.78
% 0.62/0.78
% 0.62/0.78 % ------ Statistics
% 0.62/0.78
% 0.62/0.78 % ------ General
% 0.62/0.78
% 0.62/0.78 % num_of_input_clauses: 1624
% 0.62/0.78 % num_of_input_neg_conjectures: 0
% 0.62/0.78 % num_of_splits: 0
% 0.62/0.78 % num_of_split_atoms: 0
% 0.62/0.78 % num_of_sem_filtered_clauses: 0
% 0.62/0.78 % num_of_subtypes: 0
% 0.62/0.78 % monotx_restored_types: 0
% 0.62/0.78 % sat_num_of_epr_types: 0
% 0.62/0.78 % sat_num_of_non_cyclic_types: 0
% 0.62/0.78 % sat_guarded_non_collapsed_types: 0
% 0.62/0.78 % is_epr: 0
% 0.62/0.78 % is_horn: 0
% 0.62/0.78 % has_eq: 1
% 0.62/0.78 % num_pure_diseq_elim: 0
% 0.62/0.78 % simp_replaced_by: 0
% 0.62/0.78 % res_preprocessed: 0
% 0.62/0.78 % prep_upred: 0
% 0.62/0.78 % prep_unflattend: 0
% 0.62/0.78 % pred_elim_cands: 0
% 0.62/0.78 % pred_elim: 0
% 0.62/0.78 % pred_elim_cl: 0
% 0.62/0.78 % pred_elim_cycles: 0
% 0.62/0.78 % forced_gc_time: 0
% 0.62/0.78 % gc_basic_clause_elim: 0
% 0.62/0.78 % parsing_time: 0.09
% 0.62/0.78 % sem_filter_time: 0.
% 0.62/0.78 % pred_elim_time: 0.
% 0.62/0.78 % out_proof_time: 0.
% 0.62/0.78 % monotx_time: 0.
% 0.62/0.78 % subtype_inf_time: 0.
% 0.62/0.78 % unif_index_cands_time: 0.
% 0.62/0.78 % unif_index_add_time: 0.
% 0.62/0.78 % total_time: 0.219
% 0.62/0.78 % num_of_symbols: 121
% 0.62/0.78 % num_of_terms: 4492
% 0.62/0.78
% 0.62/0.78 % ------ Propositional Solver
% 0.62/0.78
% 0.62/0.78 % prop_solver_calls: 1
% 0.62/0.78 % prop_fast_solver_calls: 0
% 0.62/0.78 % prop_num_of_clauses: 1685
% 0.62/0.78 % prop_preprocess_simplified: 4577
% 0.62/0.78 % prop_fo_subsumed: 0
% 0.62/0.78 % prop_solver_time: 0.
% 0.62/0.78 % prop_fast_solver_time: 0.
% 0.62/0.78 % prop_unsat_core_time: 0.
% 0.62/0.78
% 0.62/0.78 % ------ QBF
% 0.62/0.78
% 0.62/0.78 % qbf_q_res: 0
% 0.62/0.78 % qbf_num_tautologies: 0
% 0.62/0.78 % qbf_prep_cycles: 0
% 0.62/0.78
% 0.62/0.78 % ------ BMC1
% 0.62/0.78
% 0.62/0.78 % bmc1_current_bound: -1
% 0.62/0.78 % bmc1_last_solved_bound: -1
% 0.62/0.78 % bmc1_unsat_core_size: -1
% 0.62/0.78 % bmc1_unsat_core_parents_size: -1
% 0.62/0.78 % bmc1_merge_next_fun: 0
% 0.62/0.78 % bmc1_unsat_core_clauses_time: 0.
% 0.62/0.78
% 0.62/0.78 % ------ Instantiation
% 0.62/0.78
% 0.62/0.78 % inst_num_of_clauses: 1506
% 0.62/0.78 % inst_num_in_passive: 0
% 0.62/0.78 % inst_num_in_active: 0
% 0.62/0.78 % inst_num_in_unprocessed: 1624
% 0.62/0.78 % inst_num_of_loops: 0
% 0.62/0.78 % inst_num_of_learning_restarts: 0
% 0.62/0.78 % inst_num_moves_active_passive: 0
% 0.62/0.78 % inst_lit_activity: 0
% 0.62/0.78 % inst_lit_activity_moves: 0
% 0.62/0.78 % inst_num_tautologies: 0
% 0.62/0.78 % inst_num_prop_implied: 0
% 0.62/0.78 % inst_num_existing_simplified: 0
% 0.62/0.78 % inst_num_eq_res_simplified: 0
% 0.62/0.78 % inst_num_child_elim: 0
% 0.62/0.78 % inst_num_of_dismatching_blockings: 0
% 0.62/0.78 % inst_num_of_non_proper_insts: 0
% 0.62/0.78 % inst_num_of_duplicates: 0
% 0.62/0.78 % inst_inst_num_from_inst_to_res: 0
% 0.62/0.78 % inst_dismatching_checking_time: 0.
% 0.62/0.78
% 0.62/0.78 % ------ Resolution
% 0.62/0.78
% 0.62/0.78 % res_num_of_clauses: 1591
% 0.62/0.78 % res_num_in_passive: 0
% 0.62/0.78 % res_num_in_active: 687
% 0.62/0.78 % res_num_of_loops: 1
% 0.62/0.78 % res_forward_subset_subsumed: 936
% 0.62/0.78 % res_backward_subset_subsumed: 1
% 0.62/0.78 % res_forward_subsumed: 0
% 0.62/0.78 % res_backward_subsumed: 0
% 0.62/0.78 % res_forward_subsumption_resolution: 0
% 0.62/0.78 % res_backward_subsumption_resolution: 0
% 0.62/0.78 % res_clause_to_clause_subsumption: 0
% 0.62/0.78 % res_orphan_elimination: 0
% 0.62/0.78 % res_tautology_del: 0
% 0.62/0.78 % res_num_eq_res_simplified: 0
% 0.62/0.78 % res_num_sel_changes: 0
% 0.62/0.78 % res_moves_from_active_to_pass: 0
% 0.62/0.78
% 0.62/0.78 % Status Unknown
% 0.66/0.94 % Orienting using strategy ClausalAll
% 0.66/0.94 % Orientation found
% 0.66/0.94 % 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/sandbox2/tmp/iprover_proof_30037b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_d265a9 | grep -v "SZS"
% 0.66/0.96
% 0.66/0.96 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.66/0.96
% 0.66/0.96 %
% 0.66/0.96 % ------ iProver source info
% 0.66/0.96
% 0.66/0.96 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.66/0.96 % git: non_committed_changes: true
% 0.66/0.96 % git: last_make_outside_of_git: true
% 0.66/0.96
% 0.66/0.96 %
% 0.66/0.96 % ------ Input Options
% 0.66/0.96
% 0.66/0.96 % --out_options all
% 0.66/0.96 % --tptp_safe_out true
% 0.66/0.96 % --problem_path ""
% 0.66/0.96 % --include_path ""
% 0.66/0.96 % --clausifier .//eprover
% 0.66/0.96 % --clausifier_options --tstp-format
% 0.66/0.96 % --stdin false
% 0.66/0.96 % --dbg_backtrace false
% 0.66/0.96 % --dbg_dump_prop_clauses false
% 0.66/0.96 % --dbg_dump_prop_clauses_file -
% 0.66/0.96 % --dbg_out_stat false
% 0.66/0.96
% 0.66/0.96 % ------ General Options
% 0.66/0.96
% 0.66/0.96 % --fof false
% 0.66/0.96 % --time_out_real 150.
% 0.66/0.96 % --time_out_prep_mult 0.2
% 0.66/0.96 % --time_out_virtual -1.
% 0.66/0.96 % --schedule none
% 0.66/0.96 % --ground_splitting input
% 0.66/0.96 % --splitting_nvd 16
% 0.66/0.96 % --non_eq_to_eq false
% 0.66/0.96 % --prep_gs_sim true
% 0.66/0.96 % --prep_unflatten false
% 0.66/0.96 % --prep_res_sim true
% 0.66/0.96 % --prep_upred true
% 0.66/0.96 % --res_sim_input true
% 0.66/0.96 % --clause_weak_htbl true
% 0.66/0.96 % --gc_record_bc_elim false
% 0.66/0.96 % --symbol_type_check false
% 0.66/0.96 % --clausify_out false
% 0.66/0.96 % --large_theory_mode false
% 0.66/0.96 % --prep_sem_filter none
% 0.66/0.96 % --prep_sem_filter_out false
% 0.66/0.96 % --preprocessed_out false
% 0.66/0.96 % --sub_typing false
% 0.66/0.96 % --brand_transform false
% 0.66/0.96 % --pure_diseq_elim true
% 0.66/0.96 % --min_unsat_core false
% 0.66/0.96 % --pred_elim true
% 0.66/0.96 % --add_important_lit false
% 0.66/0.96 % --soft_assumptions false
% 0.66/0.96 % --reset_solvers false
% 0.66/0.96 % --bc_imp_inh []
% 0.66/0.96 % --conj_cone_tolerance 1.5
% 0.66/0.96 % --prolific_symb_bound 500
% 0.66/0.96 % --lt_threshold 2000
% 0.66/0.96
% 0.66/0.96 % ------ SAT Options
% 0.66/0.96
% 0.66/0.96 % --sat_mode false
% 0.66/0.96 % --sat_fm_restart_options ""
% 0.66/0.96 % --sat_gr_def false
% 0.66/0.96 % --sat_epr_types true
% 0.66/0.96 % --sat_non_cyclic_types false
% 0.66/0.96 % --sat_finite_models false
% 0.66/0.96 % --sat_fm_lemmas false
% 0.66/0.96 % --sat_fm_prep false
% 0.66/0.96 % --sat_fm_uc_incr true
% 0.66/0.96 % --sat_out_model small
% 0.66/0.96 % --sat_out_clauses false
% 0.66/0.96
% 0.66/0.96 % ------ QBF Options
% 0.66/0.96
% 0.66/0.96 % --qbf_mode false
% 0.66/0.96 % --qbf_elim_univ true
% 0.66/0.96 % --qbf_sk_in true
% 0.66/0.96 % --qbf_pred_elim true
% 0.66/0.96 % --qbf_split 32
% 0.66/0.96
% 0.66/0.96 % ------ BMC1 Options
% 0.66/0.96
% 0.66/0.96 % --bmc1_incremental false
% 0.66/0.96 % --bmc1_axioms reachable_all
% 0.66/0.96 % --bmc1_min_bound 0
% 0.66/0.96 % --bmc1_max_bound -1
% 0.66/0.96 % --bmc1_max_bound_default -1
% 0.66/0.96 % --bmc1_symbol_reachability true
% 0.66/0.96 % --bmc1_property_lemmas false
% 0.66/0.96 % --bmc1_k_induction false
% 0.66/0.96 % --bmc1_non_equiv_states false
% 0.66/0.96 % --bmc1_deadlock false
% 0.66/0.96 % --bmc1_ucm false
% 0.66/0.96 % --bmc1_add_unsat_core none
% 0.66/0.96 % --bmc1_unsat_core_children false
% 0.66/0.96 % --bmc1_unsat_core_extrapolate_axioms false
% 0.66/0.96 % --bmc1_out_stat full
% 0.66/0.96 % --bmc1_ground_init false
% 0.66/0.96 % --bmc1_pre_inst_next_state false
% 0.66/0.96 % --bmc1_pre_inst_state false
% 0.66/0.96 % --bmc1_pre_inst_reach_state false
% 0.66/0.96 % --bmc1_out_unsat_core false
% 0.66/0.96 % --bmc1_aig_witness_out false
% 0.66/0.96 % --bmc1_verbose false
% 0.66/0.96 % --bmc1_dump_clauses_tptp false
% 0.82/1.09 % --bmc1_dump_unsat_core_tptp false
% 0.82/1.09 % --bmc1_dump_file -
% 0.82/1.09 % --bmc1_ucm_expand_uc_limit 128
% 0.82/1.09 % --bmc1_ucm_n_expand_iterations 6
% 0.82/1.09 % --bmc1_ucm_extend_mode 1
% 0.82/1.09 % --bmc1_ucm_init_mode 2
% 0.82/1.09 % --bmc1_ucm_cone_mode none
% 0.82/1.09 % --bmc1_ucm_reduced_relation_type 0
% 0.82/1.09 % --bmc1_ucm_relax_model 4
% 0.82/1.09 % --bmc1_ucm_full_tr_after_sat true
% 0.82/1.09 % --bmc1_ucm_expand_neg_assumptions false
% 0.82/1.09 % --bmc1_ucm_layered_model none
% 0.82/1.09 % --bmc1_ucm_max_lemma_size 10
% 0.82/1.09
% 0.82/1.09 % ------ AIG Options
% 0.82/1.09
% 0.82/1.09 % --aig_mode false
% 0.82/1.09
% 0.82/1.09 % ------ Instantiation Options
% 0.82/1.09
% 0.82/1.09 % --instantiation_flag true
% 0.82/1.09 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.82/1.09 % --inst_solver_per_active 750
% 0.82/1.09 % --inst_solver_calls_frac 0.5
% 0.82/1.09 % --inst_passive_queue_type priority_queues
% 0.82/1.09 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.82/1.09 % --inst_passive_queues_freq [25;2]
% 0.82/1.09 % --inst_dismatching true
% 0.82/1.09 % --inst_eager_unprocessed_to_passive true
% 0.82/1.09 % --inst_prop_sim_given true
% 0.82/1.09 % --inst_prop_sim_new false
% 0.82/1.09 % --inst_orphan_elimination true
% 0.82/1.09 % --inst_learning_loop_flag true
% 0.82/1.09 % --inst_learning_start 3000
% 0.82/1.09 % --inst_learning_factor 2
% 0.82/1.09 % --inst_start_prop_sim_after_learn 3
% 0.82/1.09 % --inst_sel_renew solver
% 0.82/1.09 % --inst_lit_activity_flag true
% 0.82/1.09 % --inst_out_proof true
% 0.82/1.09
% 0.82/1.09 % ------ Resolution Options
% 0.82/1.09
% 0.82/1.09 % --resolution_flag true
% 0.82/1.09 % --res_lit_sel kbo_max
% 0.82/1.09 % --res_to_prop_solver none
% 0.82/1.09 % --res_prop_simpl_new false
% 0.82/1.09 % --res_prop_simpl_given false
% 0.82/1.09 % --res_passive_queue_type priority_queues
% 0.82/1.09 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.82/1.09 % --res_passive_queues_freq [15;5]
% 0.82/1.09 % --res_forward_subs full
% 0.82/1.09 % --res_backward_subs full
% 0.82/1.09 % --res_forward_subs_resolution true
% 0.82/1.09 % --res_backward_subs_resolution true
% 0.82/1.09 % --res_orphan_elimination false
% 0.82/1.09 % --res_time_limit 1000.
% 0.82/1.09 % --res_out_proof true
% 0.82/1.09 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_30037b.s
% 0.82/1.09 % --modulo true
% 0.82/1.09
% 0.82/1.09 % ------ Combination Options
% 0.82/1.09
% 0.82/1.09 % --comb_res_mult 1000
% 0.82/1.09 % --comb_inst_mult 300
% 0.82/1.09 % ------
% 0.82/1.09
% 0.82/1.09 % ------ Parsing...% successful
% 0.82/1.09
% 0.82/1.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.82/1.09
% 0.82/1.09 % ------ Proving...
% 0.82/1.09 % ------ Problem Properties
% 0.82/1.09
% 0.82/1.09 %
% 0.82/1.09 % EPR false
% 0.82/1.09 % Horn false
% 0.82/1.09 % Has equality true
% 0.82/1.09
% 0.82/1.09 % % ------ Input Options Time Limit: Unbounded
% 0.82/1.09
% 0.82/1.09
% 0.82/1.09 % % ------ Current options:
% 0.82/1.09
% 0.82/1.09 % ------ Input Options
% 0.82/1.09
% 0.82/1.09 % --out_options all
% 0.82/1.09 % --tptp_safe_out true
% 0.82/1.09 % --problem_path ""
% 0.82/1.09 % --include_path ""
% 0.82/1.09 % --clausifier .//eprover
% 0.82/1.09 % --clausifier_options --tstp-format
% 0.82/1.09 % --stdin false
% 0.82/1.09 % --dbg_backtrace false
% 0.82/1.09 % --dbg_dump_prop_clauses false
% 0.82/1.09 % --dbg_dump_prop_clauses_file -
% 0.82/1.09 % --dbg_out_stat false
% 0.82/1.09
% 0.82/1.09 % ------ General Options
% 0.82/1.09
% 0.82/1.09 % --fof false
% 0.82/1.09 % --time_out_real 150.
% 0.82/1.09 % --time_out_prep_mult 0.2
% 0.82/1.09 % --time_out_virtual -1.
% 0.82/1.09 % --schedule none
% 0.82/1.09 % --ground_splitting input
% 0.82/1.09 % --splitting_nvd 16
% 0.82/1.09 % --non_eq_to_eq false
% 0.82/1.09 % --prep_gs_sim true
% 0.82/1.09 % --prep_unflatten false
% 0.82/1.09 % --prep_res_sim true
% 0.82/1.09 % --prep_upred true
% 0.82/1.09 % --res_sim_input true
% 0.82/1.09 % --clause_weak_htbl true
% 0.82/1.09 % --gc_record_bc_elim false
% 0.82/1.09 % --symbol_type_check false
% 0.82/1.09 % --clausify_out false
% 0.82/1.09 % --large_theory_mode false
% 0.82/1.09 % --prep_sem_filter none
% 0.82/1.09 % --prep_sem_filter_out false
% 0.82/1.09 % --preprocessed_out false
% 0.82/1.09 % --sub_typing false
% 0.82/1.09 % --brand_transform false
% 0.82/1.09 % --pure_diseq_elim true
% 0.82/1.09 % --min_unsat_core false
% 0.82/1.09 % --pred_elim true
% 0.82/1.09 % --add_important_lit false
% 0.82/1.09 % --soft_assumptions false
% 0.82/1.09 % --reset_solvers false
% 0.82/1.09 % --bc_imp_inh []
% 0.82/1.09 % --conj_cone_tolerance 1.5
% 0.82/1.09 % --prolific_symb_bound 500
% 0.82/1.09 % --lt_threshold 2000
% 0.82/1.09
% 0.82/1.09 % ------ SAT Options
% 0.82/1.09
% 0.82/1.09 % --sat_mode false
% 0.82/1.09 % --sat_fm_restart_options ""
% 0.82/1.09 % --sat_gr_def false
% 0.82/1.09 % --sat_epr_types true
% 0.82/1.09 % --sat_non_cyclic_types false
% 0.82/1.09 % --sat_finite_models false
% 0.82/1.09 % --sat_fm_lemmas false
% 0.82/1.09 % --sat_fm_prep false
% 0.82/1.09 % --sat_fm_uc_incr true
% 0.82/1.09 % --sat_out_model small
% 0.82/1.09 % --sat_out_clauses false
% 0.82/1.09
% 0.82/1.09 % ------ QBF Options
% 0.82/1.09
% 0.82/1.09 % --qbf_mode false
% 0.82/1.09 % --qbf_elim_univ true
% 0.82/1.09 % --qbf_sk_in true
% 0.82/1.09 % --qbf_pred_elim true
% 0.82/1.09 % --qbf_split 32
% 0.82/1.09
% 0.82/1.09 % ------ BMC1 Options
% 0.82/1.09
% 0.82/1.09 % --bmc1_incremental false
% 0.82/1.09 % --bmc1_axioms reachable_all
% 0.82/1.09 % --bmc1_min_bound 0
% 0.82/1.09 % --bmc1_max_bound -1
% 0.82/1.09 % --bmc1_max_bound_default -1
% 0.82/1.09 % --bmc1_symbol_reachability true
% 0.82/1.09 % --bmc1_property_lemmas false
% 0.82/1.09 % --bmc1_k_induction false
% 0.82/1.09 % --bmc1_non_equiv_states false
% 0.82/1.09 % --bmc1_deadlock false
% 0.82/1.09 % --bmc1_ucm false
% 0.82/1.09 % --bmc1_add_unsat_core none
% 0.82/1.09 % --bmc1_unsat_core_children false
% 0.82/1.09 % --bmc1_unsat_core_extrapolate_axioms false
% 0.82/1.09 % --bmc1_out_stat full
% 0.82/1.09 % --bmc1_ground_init false
% 0.82/1.09 % --bmc1_pre_inst_next_state false
% 0.82/1.09 % --bmc1_pre_inst_state false
% 0.82/1.09 % --bmc1_pre_inst_reach_state false
% 0.82/1.09 % --bmc1_out_unsat_core false
% 0.82/1.09 % --bmc1_aig_witness_out false
% 0.82/1.09 % --bmc1_verbose false
% 0.82/1.09 % --bmc1_dump_clauses_tptp false
% 0.82/1.09 % --bmc1_dump_unsat_core_tptp false
% 0.82/1.09 % --bmc1_dump_file -
% 0.82/1.09 % --bmc1_ucm_expand_uc_limit 128
% 0.82/1.09 % --bmc1_ucm_n_expand_iterations 6
% 0.82/1.09 % --bmc1_ucm_extend_mode 1
% 0.82/1.09 % --bmc1_ucm_init_mode 2
% 0.82/1.09 % --bmc1_ucm_cone_mode none
% 0.82/1.09 % --bmc1_ucm_reduced_relation_type 0
% 0.82/1.09 % --bmc1_ucm_relax_model 4
% 0.82/1.09 % --bmc1_ucm_full_tr_after_sat true
% 0.82/1.09 % --bmc1_ucm_expand_neg_assumptions false
% 0.82/1.09 % --bmc1_ucm_layered_model none
% 0.82/1.09 % --bmc1_ucm_max_lemma_size 10
% 0.82/1.09
% 0.82/1.09 % ------ AIG Options
% 0.82/1.09
% 0.82/1.09 % --aig_mode false
% 0.82/1.09
% 0.82/1.09 % ------ Instantiation Options
% 0.82/1.09
% 0.82/1.09 % --instantiation_flag true
% 0.82/1.09 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.82/1.09 % --inst_solver_per_active 750
% 0.82/1.09 % --inst_solver_calls_frac 0.5
% 0.82/1.09 % --inst_passive_queue_type priority_queues
% 0.82/1.09 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.82/1.09 % --inst_passive_queues_freq [25;2]
% 0.82/1.09 % --inst_dismatching true
% 0.82/1.09 % --inst_eager_unprocessed_to_passive true
% 0.82/1.09 % --inst_prop_sim_given true
% 0.82/1.09 % --inst_prop_sim_new false
% 0.82/1.09 % --inst_orphan_elimination true
% 0.82/1.09 % --inst_learning_loop_flag true
% 0.82/1.09 % --inst_learning_start 3000
% 0.82/1.09 % --inst_learning_factor 2
% 0.82/1.09 % --inst_start_prop_sim_after_learn 3
% 0.82/1.09 % --inst_sel_renew solver
% 0.82/1.09 % --inst_lit_activity_flag true
% 0.82/1.09 % --inst_out_proof true
% 0.82/1.09
% 0.82/1.09 % ------ Resolution Options
% 0.82/1.09
% 0.82/1.09 % --resolution_flag true
% 0.82/1.09 % --res_lit_sel kbo_max
% 0.82/1.09 % --res_to_prop_solver none
% 0.82/1.09 % --res_prop_simpl_new false
% 0.82/1.09 % --res_prop_simpl_given false
% 0.82/1.09 % --res_passive_queue_type priority_queues
% 0.82/1.09 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.82/1.09 % --res_passive_queues_freq [15;5]
% 0.82/1.09 % --res_forward_subs full
% 0.82/1.09 % --res_backward_subs full
% 0.82/1.09 % --res_forward_subs_resolution true
% 0.82/1.09 % --res_backward_subs_resolution true
% 0.82/1.09 % --res_orphan_elimination false
% 0.82/1.09 % --res_time_limit 1000.
% 0.82/1.09 % --res_out_proof true
% 0.82/1.09 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_30037b.s
% 0.82/1.09 % --modulo true
% 0.82/1.09
% 0.82/1.09 % ------ Combination Options
% 0.82/1.09
% 0.82/1.09 % --comb_res_mult 1000
% 0.82/1.09 % --comb_inst_mult 300
% 0.82/1.09 % ------
% 0.82/1.09
% 0.82/1.09
% 0.82/1.09
% 0.82/1.09 % ------ Proving...
% 0.82/1.09 % warning: shown sat in sat incomplete mode
% 0.82/1.09 %
% 0.82/1.09
% 0.82/1.09
% 0.82/1.09
% 0.82/1.09
% 0.82/1.09 cnf(c_1620,plain,
% 0.82/1.09 ( c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(X0,X1,X2),X3,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X0,X4,X2),c_Polynomial_Odegree(X3,X2),X2),c_Polynomial_Ocoeff(X3,c_Polynomial_Odegree(X3,X2),X2),X2),X5,X2),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X0,X4,X2),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X0,X4,X2),c_Polynomial_Odegree(X3,X2),X2),c_Polynomial_Ocoeff(X3,c_Polynomial_Odegree(X3,X2),X2),X2),X3,X2),tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.09 | X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X5,X4,X2)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2808_3) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6995,plain,
% 0.82/1.09 ( c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(X0,X1,X2),X3,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X0,X4,X2),c_Polynomial_Odegree(X3,X2),X2),c_Polynomial_Ocoeff(X3,c_Polynomial_Odegree(X3,X2),X2),X2),X5,X2),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X0,X4,X2),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X0,X4,X2),c_Polynomial_Odegree(X3,X2),X2),c_Polynomial_Ocoeff(X3,c_Polynomial_Odegree(X3,X2),X2),X2),X3,X2),tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.09 | X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X5,X4,X2)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1620]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6996,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.09 | c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(X1,X2,X0),X3,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X1,X4,X0),c_Polynomial_Odegree(X3,X0),X0),c_Polynomial_Ocoeff(X3,c_Polynomial_Odegree(X3,X0),X0),X0),X5,X0),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X1,X4,X0),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(X1,X4,X0),c_Polynomial_Odegree(X3,X0),X0),c_Polynomial_Ocoeff(X3,c_Polynomial_Odegree(X3,X0),X0),X0),X3,X0),tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X5,X4,X0)
% 0.82/1.09 | X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6995]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1618,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.09 | c_Polynomial_Opdivmod__rel(X5,c_HOL_Otimes__class_Otimes(X6,X2,tc_Polynomial_Opoly(X0)),X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X6,X4,tc_Polynomial_Opoly(X0)),X7,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X5,X6,X1,X7,X0) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2809_1) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6991,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.09 | c_Polynomial_Opdivmod__rel(X5,c_HOL_Otimes__class_Otimes(X6,X2,tc_Polynomial_Opoly(X0)),X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X6,X4,tc_Polynomial_Opoly(X0)),X7,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X5,X6,X1,X7,X0) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1618]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6992,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.09 | c_Polynomial_Opdivmod__rel(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Polynomial_Opoly(X0)),X6,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X7,X3,X4,X5,X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X7,X6,X0) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6991]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1612,plain,
% 0.82/1.09 ( X0 = X1
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X0,X4,X5)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X1,X6,X5)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X5) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2810_3) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6979,plain,
% 0.82/1.09 ( X0 = X1
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X0,X4,X5)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X1,X6,X5)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X5) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1612]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6980,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X5,X6,X0)
% 0.82/1.09 | X3 = X5 ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6979]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1608,plain,
% 0.82/1.09 ( X0 = X1
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X0,X5)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X6,X1,X5)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X5) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2811_3) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6971,plain,
% 0.82/1.09 ( X0 = X1
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X0,X5)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X6,X1,X5)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X5) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1608]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6972,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X5,X6,X0)
% 0.82/1.09 | X4 = X6 ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6971]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1601,plain,
% 0.82/1.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.09 | c_Polynomial_Opdivmod__rel(X2,c_Polynomial_Osmult(X0,X3,X1),c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(X0,X1),X4,X1),X5,X1)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X5,X1)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2813_3) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6957,plain,
% 0.82/1.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.09 | c_Polynomial_Opdivmod__rel(X2,c_Polynomial_Osmult(X0,X3,X1),c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(X0,X1),X4,X1),X5,X1)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X5,X1)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1601]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6958,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.09 | c_Polynomial_Opdivmod__rel(X1,c_Polynomial_Osmult(X2,X3,X0),c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(X2,X0),X4,X0),X5,X0)
% 0.82/1.09 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X4,X5,X0)
% 0.82/1.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6957]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1552,plain,
% 0.82/1.09 ( 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)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 0.82/1.09 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 0.82/1.09 | ~ class_Ring__and__Field_Odvd(X4) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2830_4) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6859,plain,
% 0.82/1.09 ( 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)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 0.82/1.09 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 0.82/1.09 | ~ class_Ring__and__Field_Odvd(X4) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1552]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6860,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.82/1.09 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6859]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1492,plain,
% 0.82/1.09 ( 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)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 0.82/1.09 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2851_3) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6739,plain,
% 0.82/1.09 ( 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)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 0.82/1.09 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1492]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6740,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 0.82/1.09 | 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) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6739]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1482,plain,
% 0.82/1.09 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2856_1) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6719,plain,
% 0.82/1.09 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1482]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6720,plain,
% 0.82/1.09 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6719]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1478,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2857_1) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6711,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1478]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6712,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6711]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1474,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2858_1) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6703,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1474]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6704,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.82/1.09 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6703]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1449,plain,
% 0.82/1.09 ( 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)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.82/1.09 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2866_3) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6653,plain,
% 0.82/1.09 ( 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)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.82/1.09 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1449]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6654,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.09 | 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) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6653]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1429,plain,
% 0.82/1.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.09 | 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)
% 0.82/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2872_3) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6613,plain,
% 0.82/1.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.09 | 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)
% 0.82/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1429]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6614,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6613]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1425,plain,
% 0.82/1.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.09 | 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)
% 0.82/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2873_3) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6605,plain,
% 0.82/1.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.09 | 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)
% 0.82/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1425]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6606,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.09 | 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)
% 0.82/1.09 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6605]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1416,plain,
% 0.82/1.09 ( 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)
% 0.82/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2876_2) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6587,plain,
% 0.82/1.09 ( 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)
% 0.82/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1416]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6588,plain,
% 0.82/1.09 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.09 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.09 | 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) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6587]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1382,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.82/1.09 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.82/1.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2892_1) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6519,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.82/1.09 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.82/1.09 inference(copy,[status(esa)],[c_1382]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_6520,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.09 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.82/1.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.82/1.09 inference(rewriting,[status(thm)],[c_6519]) ).
% 0.82/1.09
% 0.82/1.09 cnf(c_1381,plain,
% 0.82/1.09 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2892_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6517,plain,
% 0.82/1.10 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1381]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6518,plain,
% 0.82/1.10 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6517]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1338,plain,
% 0.82/1.10 ( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X3,X4,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X0,X3,X2)
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X1,X4,tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ class_HOL_Oeq(X2)
% 0.82/1.10 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2905_4) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6431,plain,
% 0.82/1.10 ( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X3,X4,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X0,X3,X2)
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X1,X4,tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ class_HOL_Oeq(X2)
% 0.82/1.10 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1338]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6432,plain,
% 0.82/1.10 ( ~ class_HOL_Ozero(X0)
% 0.82/1.10 | ~ class_HOL_Oeq(X0)
% 0.82/1.10 | c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X2,X4,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X1,X3,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6431]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1329,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.10 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | X1 = X2
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2909_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6413,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.10 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | X1 = X2
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1329]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6414,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0) != c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0)
% 0.82/1.10 | X2 = X1 ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6413]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1326,plain,
% 0.82/1.10 ( X0 = X1
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(X2))
% 0.82/1.10 | c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X2),X2) != c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X2),X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2909_4) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6407,plain,
% 0.82/1.10 ( X0 = X1
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(X2))
% 0.82/1.10 | c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X2),X2) != c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X2),X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1326]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6408,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0)
% 0.82/1.10 | X1 = X2 ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6407]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1314,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2915_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6383,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1314]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6384,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6383]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1309,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2916_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6373,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1309]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6374,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6373]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1223,plain,
% 0.82/1.10 ( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ class_HOL_Oeq(X2)
% 0.82/1.10 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2955_4) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6201,plain,
% 0.82/1.10 ( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ class_HOL_Oeq(X2)
% 0.82/1.10 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1223]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6202,plain,
% 0.82/1.10 ( ~ class_HOL_Ozero(X0)
% 0.82/1.10 | ~ class_HOL_Oeq(X0)
% 0.82/1.10 | c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6201]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1218,plain,
% 0.82/1.10 ( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ class_HOL_Oeq(X0)
% 0.82/1.10 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2956_4) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6191,plain,
% 0.82/1.10 ( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ class_HOL_Oeq(X0)
% 0.82/1.10 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1218]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6192,plain,
% 0.82/1.10 ( ~ class_HOL_Ozero(X0)
% 0.82/1.10 | ~ class_HOL_Oeq(X0)
% 0.82/1.10 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6191]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1174,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X3,X2,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2969_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6103,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X3,X2,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1174]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6104,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6103]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1158,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2974_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6071,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1158]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6072,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6071]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1150,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2977_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6055,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1150]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6056,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6055]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1146,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2978_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6047,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1146]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6048,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6047]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1140,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2981_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6035,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1140]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6036,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6035]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1128,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2984_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6011,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1128]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6012,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6011]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1100,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2992_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5955,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1100]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5956,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5955]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_988,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3043_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5731,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_988]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5732,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5731]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_983,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3044_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5721,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_983]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5722,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5721]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_980,plain,
% 0.82/1.10 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3044_4) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5715,plain,
% 0.82/1.10 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_980]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5716,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5715]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_961,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X0,X3,X1),tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3050_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5677,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X0,X3,X1),tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_961]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5678,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5677]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_957,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X0,X2,X1),X3,tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3051_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5669,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X0,X2,X1),X3,tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_957]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5670,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5669]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_926,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3062_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5607,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_926]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5608,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Oordered__field(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5607]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_923,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.82/1.10 | ~ class_SEQ_Obanach(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3063_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5601,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.82/1.10 | ~ class_SEQ_Obanach(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_923]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5602,plain,
% 0.82/1.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.10 | ~ class_SEQ_Obanach(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5601]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_920,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3064_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5595,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_920]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5596,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5595]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_917,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.82/1.10 | ~ class_SEQ_Obanach(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3065_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5589,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.82/1.10 | ~ class_SEQ_Obanach(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_917]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5590,plain,
% 0.82/1.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.10 | ~ class_SEQ_Obanach(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5589]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_875,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3083_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5505,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_875]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5506,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5505]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_872,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3084_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5499,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_872]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5500,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5499]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_824,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3105_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5403,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_824]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5404,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5403]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_818,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3107_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5391,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_818]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5392,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5391]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_794,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.82/1.10 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3115_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5343,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.82/1.10 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X2,X1,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_794]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5344,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.10 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X2,X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X1,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5343]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_790,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.82/1.10 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3116_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5335,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.82/1.10 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X2,X1,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_790]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5336,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.10 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X2,X0)
% 0.82/1.10 | ~ c_Polynomial_Opos__poly(X1,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5335]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_778,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3119_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5311,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_778]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5312,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5311]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_743,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3130_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5241,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_743]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5242,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5241]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_632,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | ~ class_Power_Opower(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Omult__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3175_5) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5019,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | ~ class_Power_Opower(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Omult__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_632]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_5020,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Omult__zero(X0)
% 0.82/1.10 | ~ class_Power_Opower(X0)
% 0.82/1.10 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_5019]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_507,plain,
% 0.82/1.10 ( c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X0,X1),X1)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.82/1.10 | ~ class_SEQ_Obanach(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3219_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4769,plain,
% 0.82/1.10 ( c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X0,X1),X1)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.82/1.10 | ~ class_SEQ_Obanach(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_507]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4770,plain,
% 0.82/1.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.10 | ~ class_SEQ_Obanach(X0)
% 0.82/1.10 | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4769]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_504,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3220_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4763,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_504]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4764,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Oordered__field(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4763]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_501,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3221_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4757,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_501]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4758,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4757]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_452,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3244_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4659,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_452]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4660,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4659]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_433,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3252_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4621,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_433]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4622,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4621]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_312,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.82/1.10 | X1 = X2
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3309_0) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4379,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.82/1.10 | X1 = X2
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_312]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4380,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X1 = X2 ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4379]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_292,plain,
% 0.82/1.10 ( X0 = X1
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3316_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4339,plain,
% 0.82/1.10 ( X0 = X1
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_292]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4340,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.82/1.10 | X1 = X2 ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4339]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_283,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3320_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4321,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_283]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4322,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4321]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_266,plain,
% 0.82/1.10 ( X0 = c_HOL_Oone__class_Oone(X1)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3325_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4287,plain,
% 0.82/1.10 ( X0 = c_HOL_Oone__class_Oone(X1)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_266]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4288,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 0.82/1.10 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4287]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_253,plain,
% 0.82/1.10 ( c_Transcendental_Oexp(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.82/1.10 | ~ class_SEQ_Obanach(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3331_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4261,plain,
% 0.82/1.10 ( c_Transcendental_Oexp(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.82/1.10 | ~ class_SEQ_Obanach(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_253]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4262,plain,
% 0.82/1.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.10 | ~ class_SEQ_Obanach(X0)
% 0.82/1.10 | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4261]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_232,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3338_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4219,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_232]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4220,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4219]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_229,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3339_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4213,plain,
% 0.82/1.10 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_229]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4214,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4213]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_226,plain,
% 0.82/1.10 ( c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.10 | ~ class_SEQ_Obanach(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3340_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4207,plain,
% 0.82/1.10 ( c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.10 | ~ class_SEQ_Obanach(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_226]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_4208,plain,
% 0.82/1.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.10 | ~ class_SEQ_Obanach(X0)
% 0.82/1.10 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_4207]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1616,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X5,tc_Polynomial_Opoly(X3)),X6,tc_Polynomial_Opoly(X3)),X3)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X7,X6,X3)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X7,X2,X4,X5,X3)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X3) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2809_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6987,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X5,tc_Polynomial_Opoly(X3)),X6,tc_Polynomial_Opoly(X3)),X3)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X7,X6,X3)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X7,X2,X4,X5,X3)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X3) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1616]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6988,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_Polynomial_Opdivmod__rel(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,tc_Polynomial_Opoly(X0)),X6,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X7,X6,X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X7,X3,X4,X5,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6987]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1614,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.10 | X5 = X3
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X5,X6,X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2810_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6983,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.10 | X5 = X3
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X5,X6,X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1614]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6984,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X5,X6,X0)
% 0.82/1.10 | X5 = X3 ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6983]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1610,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.10 | X5 = X4
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X6,X5,X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2811_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6975,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.10 | X5 = X4
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X6,X5,X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1610]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6976,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X5,X6,X0)
% 0.82/1.10 | X6 = X4 ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6975]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1605,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(X0,X1,X2),X3,c_Polynomial_Osmult(X0,X4,X2),c_Polynomial_Osmult(X0,X5,X2),X2)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X4,X5,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2812_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6965,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(X0,X1,X2),X3,c_Polynomial_Osmult(X0,X4,X2),c_Polynomial_Osmult(X0,X5,X2),X2)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X4,X5,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1605]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6966,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(X1,X2,X0),X3,c_Polynomial_Osmult(X1,X4,X0),c_Polynomial_Osmult(X1,X5,X0),X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X5,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6965]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1599,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2814_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6953,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1599]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6954,plain,
% 0.82/1.10 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6953]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1597,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_RealVector_Oreal__field(X3) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2815_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6949,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_RealVector_Oreal__field(X3) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1597]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6950,plain,
% 0.82/1.10 ( ~ class_RealVector_Oreal__field(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6949]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1594,plain,
% 0.82/1.10 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X4,tc_Polynomial_Opoly(X3))
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X0,X2,X1,X4,X3)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X3) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2816_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6943,plain,
% 0.82/1.10 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X4,tc_Polynomial_Opoly(X3))
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X0,X2,X1,X4,X3)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X3) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1594]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6944,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 0.82/1.10 | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),X4,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6943]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1593,plain,
% 0.82/1.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2817_0) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6941,plain,
% 0.82/1.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1593]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1590,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2817_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6935,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1590]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6936,plain,
% 0.82/1.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6935]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1584,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X0,X3,X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2819_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6923,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X0,X3,X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1584]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6924,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3,X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6923]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1581,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X3,X0,X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2820_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6917,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X3,X0,X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1581]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6918,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3,X0)
% 0.82/1.10 | X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6917]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1578,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0,X3,X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2821_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6911,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0,X3,X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1578]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6912,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3,X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6911]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1575,plain,
% 0.82/1.10 ( X0 = X1
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X0,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2822_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6905,plain,
% 0.82/1.10 ( X0 = X1
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X0,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1575]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6906,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | ~ c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3,X0)
% 0.82/1.10 | X3 = X1 ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6905]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1573,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2823_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6901,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1573]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6902,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6901]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1571,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2824_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6897,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1571]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6898,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6897]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1569,plain,
% 0.82/1.10 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),c_Polynomial_Osynthetic__div(X2,X0,X1),tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X0,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),tc_Polynomial_Opoly(X1)) = X2
% 0.82/1.10 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2825_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6893,plain,
% 0.82/1.10 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),c_Polynomial_Osynthetic__div(X2,X0,X1),tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X0,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),tc_Polynomial_Opoly(X1)) = X2
% 0.82/1.10 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1569]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6894,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.10 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),c_Polynomial_Osynthetic__div(X2,X1,X0),tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = X2 ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6893]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1566,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(X2)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)),X1,X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2826_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6887,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(X2)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)),X1,X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1566]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6888,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)),X2,X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6887]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1561,plain,
% 0.82/1.10 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X3)
% 0.82/1.10 | ~ 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Ocomm__ring(X3)
% 0.82/1.10 | ~ class_Ring__and__Field_Odvd(X3) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2827_4) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6877,plain,
% 0.82/1.10 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X3)
% 0.82/1.10 | ~ 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Ocomm__ring(X3)
% 0.82/1.10 | ~ class_Ring__and__Field_Odvd(X3) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1561]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6878,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.82/1.10 | ~ 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)
% 0.82/1.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6877]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1559,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2828_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6873,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1559]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6874,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6873]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1557,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0,X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2829_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6869,plain,
% 0.82/1.10 ( c_Polynomial_Opdivmod__rel(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0,X1)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1557]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6870,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6869]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1550,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2831_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6855,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1550]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6856,plain,
% 0.82/1.10 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6855]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1548,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2832_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6851,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1548]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6852,plain,
% 0.82/1.10 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6851]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1544,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2834_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6843,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1544]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6844,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oring(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6843]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1543,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2835_0) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6841,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1543]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1540,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2835_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6835,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1540]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6836,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6835]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1539,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2836_0) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6833,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1539]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1536,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2836_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6827,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1536]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6828,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6827]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1535,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2837_0) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6825,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1535]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1532,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2837_3) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6819,plain,
% 0.82/1.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1532]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6820,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6819]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1529,plain,
% 0.82/1.10 ( c_Polynomial_Opoly(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2),X0,tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2838_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6813,plain,
% 0.82/1.10 ( c_Polynomial_Opoly(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2),X0,tc_Polynomial_Opoly(X2))
% 0.82/1.10 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1529]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6814,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 0.82/1.10 | c_Polynomial_Opoly(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6813]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1526,plain,
% 0.82/1.10 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Oring(X3) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2839_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6807,plain,
% 0.82/1.10 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Oring(X3) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1526]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6808,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oring(X0)
% 0.82/1.10 | 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)
% 0.82/1.10 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6807]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1523,plain,
% 0.82/1.10 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2840_2) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6801,plain,
% 0.82/1.10 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 0.82/1.10 | 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1523]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6802,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Oring(X0)
% 0.82/1.10 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 0.82/1.10 | 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) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6801]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1521,plain,
% 0.82/1.10 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X0,X2),X2),c_Polynomial_OpCons(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X0,X2),X2),tc_Polynomial_Opoly(X2)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X3,X1,X2),X0,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2841_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6797,plain,
% 0.82/1.10 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X0,X2),X2),c_Polynomial_OpCons(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X0,X2),X2),tc_Polynomial_Opoly(X2)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X3,X1,X2),X0,X2)
% 0.82/1.10 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1521]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6798,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.10 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0),X0),c_Polynomial_OpCons(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0),X0),tc_Polynomial_Opoly(X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X3,X2,X0),X1,X0) ),
% 0.82/1.10 inference(rewriting,[status(thm)],[c_6797]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_1519,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 0.82/1.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2842_1) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6793,plain,
% 0.82/1.10 ( 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)
% 0.82/1.10 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 0.82/1.10 inference(copy,[status(esa)],[c_1519]) ).
% 0.82/1.10
% 0.82/1.10 cnf(c_6794,plain,
% 0.82/1.10 ( ~ class_Ring__and__Field_Osemiring(X0)
% 0.82/1.10 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6793]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1513,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = X4
% 0.82/1.11 | X1 = X3 ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2844_0) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6781,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = X4
% 0.82/1.11 | X1 = X3 ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1513]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1509,plain,
% 0.82/1.11 ( X0 = X1
% 0.82/1.11 | X2 = X3
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X4)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X4) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2844_4) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6773,plain,
% 0.82/1.11 ( X0 = X1
% 0.82/1.11 | X2 = X3
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X4)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X4) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1509]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6774,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X1 = X3
% 0.82/1.11 | X2 = X4 ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6773]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1506,plain,
% 0.82/1.11 ( c_Polynomial_Opoly(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2),X0,tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2845_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6767,plain,
% 0.82/1.11 ( c_Polynomial_Opoly(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2),X0,tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1506]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6768,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 0.82/1.11 | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6767]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1504,plain,
% 0.82/1.11 ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2846_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6763,plain,
% 0.82/1.11 ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1504]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6764,plain,
% 0.82/1.11 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6763]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1502,plain,
% 0.82/1.11 ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2847_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6759,plain,
% 0.82/1.11 ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1502]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6760,plain,
% 0.82/1.11 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6759]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1500,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2848_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6755,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1500]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6756,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6755]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1498,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2849_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6751,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1498]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6752,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6751]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1496,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Oring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2850_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6747,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Oring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1496]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6748,plain,
% 0.82/1.11 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6747]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1494,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2851_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6743,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1494]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6744,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6743]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1490,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opcompose(X3,X2,X1),tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = c_Polynomial_Opcompose(c_Polynomial_OpCons(X0,X3,X1),X2,X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2852_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6735,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opcompose(X3,X2,X1),tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = c_Polynomial_Opcompose(c_Polynomial_OpCons(X0,X3,X1),X2,X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1490]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6736,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opcompose(X3,X2,X0),tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_Polynomial_Opcompose(c_Polynomial_OpCons(X1,X3,X0),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6735]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1488,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X2)),X2),tc_Polynomial_Opoly(X2)) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_OpCons(X0,X3,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2853_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6731,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X2)),X2),tc_Polynomial_Opoly(X2)) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_OpCons(X0,X3,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1488]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6732,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(X2,c_Polynomial_OpCons(X1,X3,X0),tc_Polynomial_Opoly(X0)) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6731]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1486,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(X2)),X2),tc_Polynomial_Opoly(X2)) = c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X0,X3,X2),X1,tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2854_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6727,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(X2)),X2),tc_Polynomial_Opoly(X2)) = c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X0,X3,X2),X1,tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1486]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6728,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X1,X3,X0),X2,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6727]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1484,plain,
% 0.82/1.11 ( c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(c_HOL_Oone__class_Oone(X0),X1,X0),X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X3,X1,X0),c_Polynomial_Opoly(X2,X3,X0),X0)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2855_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6723,plain,
% 0.82/1.11 ( c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(c_HOL_Oone__class_Oone(X0),X1,X0),X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X3,X1,X0),c_Polynomial_Opoly(X2,X3,X0),X0)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1484]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6724,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.11 | c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(c_HOL_Oone__class_Oone(X0),X1,X0),X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X3,X1,X0),c_Polynomial_Opoly(X2,X3,X0),X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6723]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1480,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.82/1.11 | ~ class_Divides_Oring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2856_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6715,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.82/1.11 | ~ class_Divides_Oring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1480]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6716,plain,
% 0.82/1.11 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6715]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1476,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2857_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6707,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1476]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6708,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6707]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1472,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2858_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6699,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1472]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6700,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.82/1.11 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6699]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1471,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2859_0) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6697,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1471]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1470,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2859_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6695,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1470]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1467,plain,
% 0.82/1.11 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2859_4) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6689,plain,
% 0.82/1.11 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1467]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6690,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6689]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1465,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(X0,c_Polynomial_Osmult(X1,c_Polynomial_Osynthetic__div(X0,X1,X2),X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X0,X1,X2),c_Polynomial_Osynthetic__div(X0,X1,X2),X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2860_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6685,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(X0,c_Polynomial_Osmult(X1,c_Polynomial_Osynthetic__div(X0,X1,X2),X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X0,X1,X2),c_Polynomial_Osynthetic__div(X0,X1,X2),X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1465]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6686,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,c_Polynomial_Osynthetic__div(X1,X2,X0),X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Osynthetic__div(X1,X2,X0),X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6685]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1463,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2861_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6681,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1463]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6682,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6681]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1461,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2862_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6677,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1461]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6678,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6677]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1459,plain,
% 0.82/1.11 ( c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2863_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6673,plain,
% 0.82/1.11 ( c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1459]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6674,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.11 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6673]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1456,plain,
% 0.82/1.11 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 0.82/1.11 | c_Polynomial_Opoly(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2864_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6667,plain,
% 0.82/1.11 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 0.82/1.11 | c_Polynomial_Opoly(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1456]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6668,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 0.82/1.11 | c_Polynomial_Opoly(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6667]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1453,plain,
% 0.82/1.11 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 0.82/1.11 | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2865_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6661,plain,
% 0.82/1.11 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 0.82/1.11 | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1453]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6662,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 0.82/1.11 | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6661]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1451,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2866_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6657,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1451]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6658,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6657]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1448,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2867_0) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6651,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1448]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1445,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2867_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6645,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1445]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6646,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6645]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1444,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2868_0) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6643,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1444]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1441,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2868_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6637,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1441]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6638,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6637]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1440,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2869_0) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6635,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1440]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1437,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2869_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6629,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1437]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6630,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6629]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1435,plain,
% 0.82/1.11 ( c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,tc_Polynomial_Opoly(X2)),X2) = c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X0,X3,X2),c_Polynomial_OpCons(X1,X4,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2870_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6625,plain,
% 0.82/1.11 ( c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,tc_Polynomial_Opoly(X2)),X2) = c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X0,X3,X2),c_Polynomial_OpCons(X1,X4,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1435]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6626,plain,
% 0.82/1.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.11 | c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,X3,X0),c_Polynomial_OpCons(X2,X4,X0),tc_Polynomial_Opoly(X0)) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6625]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1433,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X3,X4,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(c_HOL_Ominus__class_Ominus(X0,X3,X2),c_HOL_Ominus__class_Ominus(X1,X4,tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2871_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6621,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X3,X4,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(c_HOL_Ominus__class_Ominus(X0,X3,X2),c_HOL_Ominus__class_Ominus(X1,X4,tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1433]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6622,plain,
% 0.82/1.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.11 | c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,tc_Polynomial_Opoly(X0)),X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6621]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1419,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2875_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6593,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1419]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6594,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6593]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1413,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2877_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6581,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1413]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6582,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6581]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1410,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2878_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6575,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1410]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6576,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6575]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1408,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X1,X3),X3),X3) = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,X2,X3),X1,X3)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2879_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6571,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X1,X3),X3),X3) = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,X2,X3),X1,X3)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1408]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6572,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X3,X2,X0),X0),X0) = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X3,X0),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6571]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1404,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X3) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2881_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6563,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X3) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1404]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6564,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6563]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1402,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2882_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6559,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1402]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6560,plain,
% 0.82/1.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6559]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1396,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Oring__div(X3) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2885_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6547,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Oring__div(X3) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1396]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6548,plain,
% 0.82/1.11 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6547]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1394,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Oring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2886_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6543,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Oring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1394]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6544,plain,
% 0.82/1.11 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6543]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1392,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2887_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6539,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1392]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6540,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6539]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1390,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2888_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6535,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1390]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6536,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6535]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1388,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2889_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6531,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1388]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6532,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6531]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1386,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2890_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6527,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1386]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6528,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6527]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1384,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X3) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2891_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6523,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X3) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1384]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6524,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6523]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1379,plain,
% 0.82/1.11 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2892_4) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6513,plain,
% 0.82/1.11 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1379]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6514,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6513]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1374,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | X2 = X3
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2893_4) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6503,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | X2 = X3
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1374]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6504,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.11 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.11 | X3 = X4 ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6503]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1371,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2894_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6497,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1371]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6498,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6497]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1367,plain,
% 0.82/1.11 ( c_HOL_Oeq__class_Oeq(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X3,X0,X2),c_Polynomial_OpCons(X4,X1,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_HOL_Oeq(X2)
% 0.82/1.11 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2895_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6489,plain,
% 0.82/1.11 ( c_HOL_Oeq__class_Oeq(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X3,X0,X2),c_Polynomial_OpCons(X4,X1,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_HOL_Oeq(X2)
% 0.82/1.11 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1367]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6490,plain,
% 0.82/1.11 ( ~ class_HOL_Ozero(X0)
% 0.82/1.11 | ~ class_HOL_Oeq(X0)
% 0.82/1.11 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.11 | c_HOL_Oeq__class_Oeq(X2,X4,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6489]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1363,plain,
% 0.82/1.11 ( c_HOL_Oeq__class_Oeq(X0,X1,X2)
% 0.82/1.11 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X3,X2),c_Polynomial_OpCons(X1,X4,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_HOL_Oeq(X2)
% 0.82/1.11 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2896_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6481,plain,
% 0.82/1.11 ( c_HOL_Oeq__class_Oeq(X0,X1,X2)
% 0.82/1.11 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X3,X2),c_Polynomial_OpCons(X1,X4,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_HOL_Oeq(X2)
% 0.82/1.11 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1363]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6482,plain,
% 0.82/1.11 ( ~ class_HOL_Ozero(X0)
% 0.82/1.11 | ~ class_HOL_Oeq(X0)
% 0.82/1.11 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_Polynomial_OpCons(X3,X4,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.11 | c_HOL_Oeq__class_Oeq(X1,X3,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6481]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1361,plain,
% 0.82/1.11 ( 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
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2897_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6477,plain,
% 0.82/1.11 ( 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
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1361]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6478,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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 ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6477]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1359,plain,
% 0.82/1.11 ( 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
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2898_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6473,plain,
% 0.82/1.11 ( 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
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1359]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6474,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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 ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6473]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1355,plain,
% 0.82/1.11 ( 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
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2900_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6465,plain,
% 0.82/1.11 ( 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
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1355]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6466,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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 ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6465]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1351,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2901_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6457,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1351]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6458,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6457]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1347,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2902_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6449,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1347]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6450,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6449]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1345,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(X2)),c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_Polynomial_Opoly(X2)),X1,tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2903_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6445,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(X2)),c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,tc_Polynomial_Opoly(X2)),X1,tc_Polynomial_Opoly(X2))
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1345]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6446,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6445]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1343,plain,
% 0.82/1.11 ( c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X1),X1),X1),X0,X1) = c_Polynomial_Opoly__gcd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2904_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6441,plain,
% 0.82/1.11 ( c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X1),X1),X1),X0,X1) = c_Polynomial_Opoly__gcd(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)
% 0.82/1.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1343]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6442,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.11 | c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0),X0),X1,X0) = c_Polynomial_Opoly__gcd(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6441]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1335,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X2,X0,X1),c_Polynomial_OpCons(X3,X0,X1),tc_Polynomial_Opoly(X1)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2906_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6425,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X2,X0,X1),c_Polynomial_OpCons(X3,X0,X1),tc_Polynomial_Opoly(X1)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1335]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6426,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(X3,X2,X0),tc_Polynomial_Opoly(X0)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6425]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1333,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X0,c_HOL_Ominus__class_Ominus(X1,X3,tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2907_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6421,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X0,c_HOL_Ominus__class_Ominus(X1,X3,tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1333]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6422,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.82/1.11 | c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_Polynomial_Opoly(X0)),X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6421]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1331,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2908_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6417,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X0,c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1331]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6418,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X0)),X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6417]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1324,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X0,X1,X2),c_Polynomial_Opoly(X3,X1,X2),X2) = c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2910_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6403,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X0,X1,X2),c_Polynomial_Opoly(X3,X1,X2),X2) = c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1324]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6404,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6403]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1322,plain,
% 0.82/1.11 ( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X0,X1,X2),c_Polynomial_Opoly(X3,X1,X2),X2) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2911_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6399,plain,
% 0.82/1.11 ( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X0,X1,X2),c_Polynomial_Opoly(X3,X1,X2),X2) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1322]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6400,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6399]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1320,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X0,X1,X2),c_Polynomial_Opoly(X3,X1,X2),X2) = c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2912_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6395,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X0,X1,X2),c_Polynomial_Opoly(X3,X1,X2),X2) = c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1320]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6396,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.82/1.11 | c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6395]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1318,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Ocoeff(X0,X1,X2),c_Polynomial_Ocoeff(X3,X1,X2),X2) = c_Polynomial_Ocoeff(c_HOL_Oplus__class_Oplus(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 0.82/1.11 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2913_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6391,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Ocoeff(X0,X1,X2),c_Polynomial_Ocoeff(X3,X1,X2),X2) = c_Polynomial_Ocoeff(c_HOL_Oplus__class_Oplus(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 0.82/1.11 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1318]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6392,plain,
% 0.82/1.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_Ocoeff(X1,X2,X0),c_Polynomial_Ocoeff(X3,X2,X0),X0) = c_Polynomial_Ocoeff(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6391]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1316,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_Ocoeff(X0,X1,X2),c_Polynomial_Ocoeff(X3,X1,X2),X2) = c_Polynomial_Ocoeff(c_HOL_Ominus__class_Ominus(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 0.82/1.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2914_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6387,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_Ocoeff(X0,X1,X2),c_Polynomial_Ocoeff(X3,X1,X2),X2) = c_Polynomial_Ocoeff(c_HOL_Ominus__class_Ominus(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 0.82/1.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1316]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6388,plain,
% 0.82/1.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.11 | c_HOL_Ominus__class_Ominus(c_Polynomial_Ocoeff(X1,X2,X0),c_Polynomial_Ocoeff(X3,X2,X0),X0) = c_Polynomial_Ocoeff(c_HOL_Ominus__class_Ominus(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6387]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1312,plain,
% 0.82/1.11 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2915_3) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6379,plain,
% 0.82/1.11 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1312]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6380,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.11 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6379]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1307,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_Omonom(X0,X1,X2),c_Polynomial_Omonom(X3,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Omonom(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.82/1.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2917_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6369,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_Omonom(X0,X1,X2),c_Polynomial_Omonom(X3,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Omonom(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.82/1.11 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1307]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6370,plain,
% 0.82/1.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.11 | c_HOL_Ominus__class_Ominus(c_Polynomial_Omonom(X1,X2,X0),c_Polynomial_Omonom(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6369]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1305,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X3,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2918_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6365,plain,
% 0.82/1.11 ( c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X3,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1305]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6366,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.82/1.11 | c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6365]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1303,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Omonom(X0,X1,X2),c_Polynomial_Omonom(X3,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Omonom(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.82/1.11 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2919_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6361,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Omonom(X0,X1,X2),c_Polynomial_Omonom(X3,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Omonom(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.82/1.11 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1303]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6362,plain,
% 0.82/1.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_Omonom(X1,X2,X0),c_Polynomial_Omonom(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6361]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1301,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X3,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2920_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6357,plain,
% 0.82/1.11 ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_Osmult(X3,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1301]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6358,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_Osmult(X3,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6357]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1298,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2921_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6351,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1298]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6352,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6351]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1295,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2922_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6345,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1295]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6346,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6345]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1292,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2923_2) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6339,plain,
% 0.82/1.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.11 | 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1292]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6340,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.82/1.11 | 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)
% 0.82/1.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6339]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1290,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2924_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6335,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1290]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6336,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6335]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1288,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2925_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6331,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1288]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6332,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6331]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1286,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2926_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6327,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1286]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6328,plain,
% 0.82/1.11 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6327]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1284,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2927_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6323,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1284]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6324,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6323]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1282,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X3) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2928_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6319,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X3) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1282]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6320,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6319]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1280,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X3) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2929_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6315,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_Divides_Osemiring__div(X3) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1280]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6316,plain,
% 0.82/1.11 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6315]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1278,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2930_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6311,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1278]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6312,plain,
% 0.82/1.11 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6311]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1276,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2931_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6307,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1276]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6308,plain,
% 0.82/1.11 ( ~ class_RealVector_Oreal__vector(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6307]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1272,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2933_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6299,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1272]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6300,plain,
% 0.82/1.11 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6299]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1268,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2935_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6291,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1268]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6292,plain,
% 0.82/1.11 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.11 | 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) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6291]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1264,plain,
% 0.82/1.11 ( c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,X1,X2),X3,X2) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X3,X2),c_Polynomial_Osynthetic__div(X1,X3,X2),X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2937_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6283,plain,
% 0.82/1.11 ( c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,X1,X2),X3,X2) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X3,X2),c_Polynomial_Osynthetic__div(X1,X3,X2),X2)
% 0.82/1.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.11 inference(copy,[status(esa)],[c_1264]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6284,plain,
% 0.82/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.11 | c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X0),X3,X0) = c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X3,X0),c_Polynomial_Osynthetic__div(X2,X3,X0),X0) ),
% 0.82/1.11 inference(rewriting,[status(thm)],[c_6283]) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_1262,plain,
% 0.82/1.11 ( 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)
% 0.82/1.11 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 0.82/1.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2938_1) ).
% 0.82/1.11
% 0.82/1.11 cnf(c_6279,plain,
% 0.82/1.11 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1262]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6280,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6279]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1260,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2939_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6275,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1260]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6276,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6275]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1258,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2940_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6271,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1258]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6272,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6271]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1256,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2941_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6267,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1256]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6268,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__vector(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6267]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1254,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2942_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6263,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1254]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6264,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6263]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1252,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2943_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6259,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1252]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6260,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6259]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1248,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2945_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6251,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1248]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6252,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6251]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1244,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2947_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6243,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1244]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6244,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6243]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1242,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2948_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6239,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1242]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6240,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6239]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1240,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2949_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6235,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1240]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6236,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6235]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1238,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2950_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6231,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1238]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6232,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6231]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1236,plain,
% 0.82/1.12 ( c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2),X2) = c_Polynomial_Osmult(X0,c_Polynomial_OpCons(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2951_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6227,plain,
% 0.82/1.12 ( c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_Polynomial_Osmult(X0,X3,X2),X2) = c_Polynomial_Osmult(X0,c_Polynomial_OpCons(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1236]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6228,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_Polynomial_Osmult(X1,X3,X0),X0) = c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6227]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1234,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2952_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6223,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1234]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6224,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Oring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6223]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1231,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.12 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(X0,X2,X1),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(X0,X2,X1),X1),X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2953_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6217,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.12 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(X0,X2,X1),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(X0,X2,X1),X1),X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1231]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6218,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(X1,X2,X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(X1,X2,X0),X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.12 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6217]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1228,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.12 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(X2,X0,X1),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(X2,X0,X1),X1),X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2954_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6211,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.12 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(X2,X0,X1),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(X2,X0,X1),X1),X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1228]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6212,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(X1,X2,X0),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(X1,X2,X0),X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6211]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1215,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2957_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6185,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1215]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6186,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6185]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1212,plain,
% 0.82/1.12 ( X0 = c_Polynomial_Osynthetic__div(X1,X2,X3)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X0,X3),tc_Polynomial_Opoly(X3)) != c_Polynomial_OpCons(X4,X0,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2958_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6179,plain,
% 0.82/1.12 ( X0 = c_Polynomial_Osynthetic__div(X1,X2,X3)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X0,X3),tc_Polynomial_Opoly(X3)) != c_Polynomial_OpCons(X4,X0,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1212]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6180,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) != c_Polynomial_OpCons(X4,X3,X0)
% 0.82/1.12 | X3 = c_Polynomial_Osynthetic__div(X1,X2,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6179]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1209,plain,
% 0.82/1.12 ( X0 = c_Polynomial_Opoly(X1,X2,X3)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X4,X3),tc_Polynomial_Opoly(X3)) != c_Polynomial_OpCons(X0,X4,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2959_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6173,plain,
% 0.82/1.12 ( X0 = c_Polynomial_Opoly(X1,X2,X3)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X4,X3),tc_Polynomial_Opoly(X3)) != c_Polynomial_OpCons(X0,X4,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1209]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6174,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) != c_Polynomial_OpCons(X4,X3,X0)
% 0.82/1.12 | X4 = c_Polynomial_Opoly(X1,X2,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6173]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1203,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2961_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6161,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1203]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6162,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6161]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1201,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2961_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6157,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1201]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6158,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6157]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1198,plain,
% 0.82/1.12 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 0.82/1.12 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2962_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6151,plain,
% 0.82/1.12 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 0.82/1.12 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1198]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6152,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6151]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1194,plain,
% 0.82/1.12 ( c_HOL_Oeq__class_Oeq(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X2,X0,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_HOL_Oeq(X1)
% 0.82/1.12 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2963_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6143,plain,
% 0.82/1.12 ( c_HOL_Oeq__class_Oeq(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X2,X0,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_HOL_Oeq(X1)
% 0.82/1.12 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1194]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6144,plain,
% 0.82/1.12 ( ~ class_HOL_Ozero(X0)
% 0.82/1.12 | ~ class_HOL_Oeq(X0)
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6143]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1190,plain,
% 0.82/1.12 ( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0))
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X2,X1,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | ~ class_HOL_Oeq(X0)
% 0.82/1.12 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2964_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6135,plain,
% 0.82/1.12 ( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0))
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X2,X1,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | ~ class_HOL_Oeq(X0)
% 0.82/1.12 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1190]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6136,plain,
% 0.82/1.12 ( ~ class_HOL_Ozero(X0)
% 0.82/1.12 | ~ class_HOL_Oeq(X0)
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6135]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1188,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Divides_Oring__div(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2965_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6131,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Divides_Oring__div(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1188]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6132,plain,
% 0.82/1.12 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6131]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1184,plain,
% 0.82/1.12 ( c_HOL_Oeq__class_Oeq(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X2,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_HOL_Oeq(X1)
% 0.82/1.12 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2966_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6123,plain,
% 0.82/1.12 ( c_HOL_Oeq__class_Oeq(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X0,X2,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_HOL_Oeq(X1)
% 0.82/1.12 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1184]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6124,plain,
% 0.82/1.12 ( ~ class_HOL_Ozero(X0)
% 0.82/1.12 | ~ class_HOL_Oeq(X0)
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6123]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1180,plain,
% 0.82/1.12 ( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | ~ class_HOL_Oeq(X0)
% 0.82/1.12 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2967_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6115,plain,
% 0.82/1.12 ( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | ~ class_HOL_Oeq(X0)
% 0.82/1.12 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1180]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6116,plain,
% 0.82/1.12 ( ~ class_HOL_Ozero(X0)
% 0.82/1.12 | ~ class_HOL_Oeq(X0)
% 0.82/1.12 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6115]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1172,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Opoly__gcd(X1,X2,X3),tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2969_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6099,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Opoly__gcd(X1,X2,X3),tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1172]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6100,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6099]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1169,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2970_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6093,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1169]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6094,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6093]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1166,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2971_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6087,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1166]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6088,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6087]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1163,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2972_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6081,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1163]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6082,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6081]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1161,plain,
% 0.82/1.12 ( c_Polynomial_Osynthetic__divmod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_Pair(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(X0),tc_Polynomial_Opoly(X0),X0)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2973_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6077,plain,
% 0.82/1.12 ( c_Polynomial_Osynthetic__divmod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_Pair(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(X0),tc_Polynomial_Opoly(X0),X0)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1161]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6078,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Polynomial_Osynthetic__divmod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_Pair(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(X0),tc_Polynomial_Opoly(X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6077]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1156,plain,
% 0.82/1.12 ( c_Polynomial_Osmult(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X3) = c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X0,X1,X3),X2,tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2975_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6067,plain,
% 0.82/1.12 ( c_Polynomial_Osmult(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X3) = c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X0,X1,X3),X2,tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1156]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6068,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6067]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1154,plain,
% 0.82/1.12 ( c_Polynomial_Osmult(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X3) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Osmult(X0,X2,X3),tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2976_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6063,plain,
% 0.82/1.12 ( c_Polynomial_Osmult(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X3) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Osmult(X0,X2,X3),tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1154]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6064,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Osmult(X1,X3,X0),tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6063]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1144,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2979_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6043,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1144]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6044,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6043]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1142,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2980_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6039,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1142]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6040,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6039]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1138,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2981_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6031,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1138]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6032,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6031]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1132,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2983_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6019,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1132]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6020,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6019]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1130,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2983_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6015,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1130]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6016,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6015]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1126,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2984_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6007,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1126]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6008,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6007]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1123,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2985_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6001,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1123]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_6002,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | 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)
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_6001]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1120,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2986_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5995,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1120]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5996,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | 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)
% 0.82/1.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5995]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1117,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Divides_Odiv__class_Omod(X3,X2,X1)
% 0.82/1.12 | ~ class_Divides_Oring__div(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2987_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5989,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Divides_Odiv__class_Omod(X3,X2,X1)
% 0.82/1.12 | ~ class_Divides_Oring__div(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1117]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5990,plain,
% 0.82/1.12 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.12 | 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)
% 0.82/1.12 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5989]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1115,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2988_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5985,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1115]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5986,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5985]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1107,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X0,X3,X1),tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2990_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5969,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X0,X3,X1),tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1107]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5970,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0))
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5969]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1103,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X0,X2,X1),X3,tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2991_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5961,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X0,X2,X1),X3,tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1103]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5962,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0))
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X0))
% 0.82/1.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5961]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1097,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2993_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5949,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1097]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5950,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | 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)
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5949]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1094,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2994_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5943,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1094]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5944,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | 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)
% 0.82/1.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5943]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1091,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Opoly__gcd(X3,X1,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2995_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5937,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Opoly__gcd(X3,X1,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1091]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5938,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5937]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1088,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Opoly__gcd(X1,X3,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2996_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5931,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Opoly__gcd(X1,X3,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1088]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5932,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5931]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1085,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X3,X0,X2),X1,tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2997_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5925,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X3,X0,X2),X1,tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1085]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5926,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X0),X3,tc_Polynomial_Opoly(X0))
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5925]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1083,plain,
% 0.82/1.12 ( c_Polynomial_Opoly(c_Polynomial_Omonom(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2998_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5921,plain,
% 0.82/1.12 ( c_Polynomial_Opoly(c_Polynomial_Omonom(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1083]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5922,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | c_Polynomial_Opoly(c_Polynomial_Omonom(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X3,X2,X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5921]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1081,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_2999_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5917,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1081]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5918,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5917]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1077,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__vector(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3001_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5909,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__vector(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1077]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5910,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__vector(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5909]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1075,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__vector(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3002_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5905,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__vector(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1075]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5906,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5905]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1073,plain,
% 0.82/1.12 ( c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_Polynomial_Osmult(X0,c_Polynomial_Osmult(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3003_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5901,plain,
% 0.82/1.12 ( c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_Polynomial_Osmult(X0,c_Polynomial_Osmult(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1073]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5902,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5901]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1071,plain,
% 0.82/1.12 ( c_Polynomial_Opoly(c_Polynomial_Osmult(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3004_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5897,plain,
% 0.82/1.12 ( c_Polynomial_Opoly(c_Polynomial_Osmult(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1071]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5898,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X3,X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5897]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1067,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3006_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5889,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1067]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5890,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5889]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1065,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3007_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5885,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1065]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5886,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5885]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1061,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3009_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5877,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1061]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5878,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5877]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1059,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3010_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5873,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1059]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5874,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5873]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1057,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3011_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5869,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1057]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5870,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5869]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1055,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3012_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5865,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1055]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5866,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5865]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1053,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3013_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5861,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1053]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5862,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5861]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1051,plain,
% 0.82/1.12 ( c_Polynomial_Ocoeff(c_Polynomial_Osmult(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Ocoeff(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3014_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5857,plain,
% 0.82/1.12 ( c_Polynomial_Ocoeff(c_Polynomial_Osmult(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Ocoeff(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1051]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5858,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Polynomial_Ocoeff(c_Polynomial_Osmult(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Ocoeff(X2,X3,X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5857]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1049,plain,
% 0.82/1.12 ( c_Polynomial_Opoly(c_Polynomial_Opcompose(X0,X1,X2),X3,X2) = c_Polynomial_Opoly(X0,c_Polynomial_Opoly(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3015_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5853,plain,
% 0.82/1.12 ( c_Polynomial_Opoly(c_Polynomial_Opcompose(X0,X1,X2),X3,X2) = c_Polynomial_Opoly(X0,c_Polynomial_Opoly(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1049]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5854,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X3,X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5853]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1047,plain,
% 0.82/1.12 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__field(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3016_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5849,plain,
% 0.82/1.12 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__field(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1047]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5850,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.12 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5849]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1045,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__algebra(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3017_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5845,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__algebra(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1045]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5846,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5845]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1043,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__algebra(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3018_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5841,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__algebra(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1043]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5842,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5841]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1039,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3020_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5833,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1039]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5834,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5833]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1035,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3022_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5825,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1035]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5826,plain,
% 0.82/1.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5825]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1033,plain,
% 0.82/1.12 ( c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_Polynomial_Osmult(X0,c_Polynomial_Omonom(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3023_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5821,plain,
% 0.82/1.12 ( c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_Polynomial_Osmult(X0,c_Polynomial_Omonom(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1033]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5822,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Polynomial_Osmult(X1,c_Polynomial_Omonom(X2,X3,X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5821]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1031,plain,
% 0.82/1.12 ( c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X0,X1,X2),X3,X2) = c_Polynomial_Opoly__gcd(X0,c_Polynomial_Opoly__gcd(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3024_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5817,plain,
% 0.82/1.12 ( c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X0,X1,X2),X3,X2) = c_Polynomial_Opoly__gcd(X0,c_Polynomial_Opoly__gcd(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1031]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5818,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X1,X2,X0),X3,X0) = c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5817]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1029,plain,
% 0.82/1.12 ( c_Polynomial_Opoly__gcd(X0,c_Polynomial_Opoly__gcd(X1,X2,X3),X3) = c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X0,X2,X3),X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3025_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5813,plain,
% 0.82/1.12 ( c_Polynomial_Opoly__gcd(X0,c_Polynomial_Opoly__gcd(X1,X2,X3),X3) = c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X0,X2,X3),X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1029]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5814,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X0),X0) = c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X1,X3,X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5813]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1027,plain,
% 0.82/1.12 ( c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2),X3,X2) = c_Polynomial_Opoly(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3026_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5809,plain,
% 0.82/1.12 ( c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2),X3,X2) = c_Polynomial_Opoly(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1027]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5810,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5809]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1023,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3028_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5801,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1023]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5802,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5801]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1019,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3030_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5793,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1019]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5794,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5793]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1017,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3031_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5789,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1017]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5790,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5789]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1015,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3032_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5785,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1015]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5786,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5785]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1013,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3033_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5781,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1013]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5782,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5781]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1010,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3034_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5775,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1010]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5776,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5775]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1007,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3035_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5769,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1007]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5770,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5769]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1004,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3036_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5763,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1004]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5764,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5763]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_1001,plain,
% 0.82/1.12 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3037_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5757,plain,
% 0.82/1.12 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_1001]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5758,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5757]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_999,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X0) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3038_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5753,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X0) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_999]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5754,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5753]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_996,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1),X0,tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3039_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5747,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1),X0,tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_996]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5748,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),X2,tc_Polynomial_Opoly(X0))
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5747]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_994,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3040_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5743,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_994]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5744,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5743]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_992,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3041_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5739,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_992]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5740,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5739]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_990,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3042_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5735,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_990]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5736,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5735]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_985,plain,
% 0.82/1.12 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 0.82/1.12 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.12 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.12 | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3043_4) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5725,plain,
% 0.82/1.12 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 0.82/1.12 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.12 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.12 | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 0.82/1.12 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_985]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5726,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.12 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.82/1.12 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.82/1.12 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5725]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_977,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,X1)
% 0.82/1.12 | ~ class_Divides_Oring__div(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3045_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5709,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,X1)
% 0.82/1.12 | ~ class_Divides_Oring__div(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_977]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5710,plain,
% 0.82/1.12 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5709]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_974,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.82/1.12 | ~ class_Divides_Oring__div(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3046_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5703,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.82/1.12 | ~ class_Divides_Oring__div(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_974]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5704,plain,
% 0.82/1.12 ( ~ class_Divides_Oring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5703]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_972,plain,
% 0.82/1.12 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X2,X1) = c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3047_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5699,plain,
% 0.82/1.12 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X2,X1) = c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_972]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5700,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.12 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X2,X0) = c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5699]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_969,plain,
% 0.82/1.12 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) != X3
% 0.82/1.12 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3048_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5693,plain,
% 0.82/1.12 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) != X3
% 0.82/1.12 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_969]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5694,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.12 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 0.82/1.12 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5693]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_954,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Osmult(X1,X2,X3),tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3052_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5663,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Osmult(X1,X2,X3),tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(X3))
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_954]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5664,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0))
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5663]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_951,plain,
% 0.82/1.12 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3053_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5657,plain,
% 0.82/1.12 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_951]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5658,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5657]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_948,plain,
% 0.82/1.12 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3054_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5651,plain,
% 0.82/1.12 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.12 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_948]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5652,plain,
% 0.82/1.12 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.12 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5651]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_945,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3055_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5645,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_945]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5646,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5645]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_942,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3056_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5639,plain,
% 0.82/1.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_942]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5640,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 0.82/1.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5639]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_940,plain,
% 0.82/1.12 ( c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(X0,X2,X1),tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3057_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5635,plain,
% 0.82/1.12 ( c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(X0,X2,X1),tc_Polynomial_Opoly(X1))
% 0.82/1.12 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_940]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5636,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.12 | c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(X1,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5635]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_938,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3058_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5631,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_938]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5632,plain,
% 0.82/1.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5631]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_936,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3059_1) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5627,plain,
% 0.82/1.12 ( 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_936]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5628,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.12 | 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) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5627]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_935,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.12 | 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)
% 0.82/1.12 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3060_0) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5625,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.12 | 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)
% 0.82/1.12 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_935]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_932,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3060_3) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5619,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.12 inference(copy,[status(esa)],[c_932]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5620,plain,
% 0.82/1.12 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.12 | 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)
% 0.82/1.12 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.12 inference(rewriting,[status(thm)],[c_5619]) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_914,plain,
% 0.82/1.12 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.12 | 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)
% 0.82/1.12 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.82/1.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3066_2) ).
% 0.82/1.12
% 0.82/1.12 cnf(c_5583,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_914]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5584,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.82/1.13 | 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)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5583]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_913,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3067_0) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5581,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_913]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_912,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3067_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5579,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_912]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_910,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3067_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5575,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_910]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5576,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5575]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_908,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3068_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5571,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_908]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5572,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5571]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_906,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3069_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5567,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_906]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5568,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5567]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_904,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3070_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5563,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_904]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5564,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5563]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_902,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3071_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5559,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_902]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5560,plain,
% 0.82/1.13 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5559]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_900,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3072_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5555,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_900]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5556,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5555]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_898,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3073_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5551,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_898]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5552,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5551]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_896,plain,
% 0.82/1.13 ( c_Polynomial_Osmult(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X2) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X0,X1,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3074_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5547,plain,
% 0.82/1.13 ( c_Polynomial_Osmult(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X2) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X0,X1,X2),tc_Polynomial_Opoly(X2))
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_896]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5548,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.82/1.13 | c_Polynomial_Osmult(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X1,X2,X0),tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5547]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_892,plain,
% 0.82/1.13 ( c_Polynomial_Opos__poly(X0,X1)
% 0.82/1.13 | X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X2,X0,X1),X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3075_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5539,plain,
% 0.82/1.13 ( c_Polynomial_Opos__poly(X0,X1)
% 0.82/1.13 | X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X2,X0,X1),X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_892]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5540,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X0),X0)
% 0.82/1.13 | c_Polynomial_Opos__poly(X2,X0)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5539]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_890,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3076_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5535,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_890]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5536,plain,
% 0.82/1.13 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.13 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5535]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_888,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3077_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5531,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_888]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5532,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5531]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_886,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X1,X0,X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3078_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5527,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X1,X0,X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_886]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5528,plain,
% 0.82/1.13 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.13 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5527]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_884,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3079_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5523,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_884]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5524,plain,
% 0.82/1.13 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.13 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5523]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_882,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = X2
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3080_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5519,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = X2
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_882]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5520,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5519]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_880,plain,
% 0.82/1.13 ( c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X0,X2,X1),X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3081_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5515,plain,
% 0.82/1.13 ( c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X0,X2,X1),X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_880]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5516,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.82/1.13 | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X1,X2,X0),X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5515]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_878,plain,
% 0.82/1.13 ( c_Polynomial_Ocoeff(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Ocoeff(X0,X2,X1),X1)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3082_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5511,plain,
% 0.82/1.13 ( c_Polynomial_Ocoeff(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Ocoeff(X0,X2,X1),X1)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_878]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5512,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | c_Polynomial_Ocoeff(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Ocoeff(X1,X2,X0),X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5511]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_870,plain,
% 0.82/1.13 ( c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X0,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3085_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5495,plain,
% 0.82/1.13 ( c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X0,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_870]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5496,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.82/1.13 | c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X1,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5495]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_868,plain,
% 0.82/1.13 ( c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(X0,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3086_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5491,plain,
% 0.82/1.13 ( c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(X0,X1,X2),tc_Polynomial_Opoly(X2)) = c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_868]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5492,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(X1,X2,X0),tc_Polynomial_Opoly(X0)) = c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5491]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_865,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3087_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5485,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_865]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5486,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.13 | 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)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5485]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_862,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3088_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5479,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_862]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5480,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | 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)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5479]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_860,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3089_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5475,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_860]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5476,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5475]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_858,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3090_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5471,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_858]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5472,plain,
% 0.82/1.13 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5471]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_854,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3092_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5463,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_854]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5464,plain,
% 0.82/1.13 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5463]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_850,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3094_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5455,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_850]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5456,plain,
% 0.82/1.13 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5455]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_848,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3095_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5451,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_848]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5452,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5451]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_846,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3096_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5447,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_846]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5448,plain,
% 0.82/1.13 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5447]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_844,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3097_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5443,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_844]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5444,plain,
% 0.82/1.13 ( ~ class_RealVector_Oreal__vector(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5443]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_842,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3098_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5439,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_842]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5440,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oring(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5439]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_840,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3099_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5435,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_840]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5436,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oring(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5435]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_838,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3100_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5431,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_838]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5432,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5431]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_834,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3101_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5423,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_834]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5424,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 0.82/1.13 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.82/1.13 | X1 = X2 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5423]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_832,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1) = X2
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3102_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5419,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1) = X2
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_832]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5420,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5419]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_830,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X2,X0,X1),X1) = X2
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3103_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5415,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X2,X0,X1),X1) = X2
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_830]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5416,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5415]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_821,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_Osmult(X2,X0,X1) != c_Polynomial_OpCons(X3,X0,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3106_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5397,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_Osmult(X2,X0,X1) != c_Polynomial_OpCons(X3,X0,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_821]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5398,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.13 | c_Polynomial_Osmult(X1,X2,X0) != c_Polynomial_OpCons(X3,X2,X0)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5397]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_815,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3108_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5385,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_815]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5386,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5385]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_812,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3109_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5379,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_812]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5380,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5379]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_809,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3110_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5373,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_809]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5374,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5373]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_806,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3111_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5367,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_806]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5368,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5367]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_802,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X3)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X3) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3112_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5359,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X3)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X3) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_802]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5360,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.82/1.13 | X2 = X3 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5359]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_800,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3113_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5355,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_800]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5356,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5355]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_796,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X3)
% 0.82/1.13 | c_RealVector_OscaleR__class_OscaleR(X0,X2,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
% 0.82/1.13 | ~ class_RealVector_Oreal__vector(X3) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3114_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5347,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X3)
% 0.82/1.13 | c_RealVector_OscaleR__class_OscaleR(X0,X2,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
% 0.82/1.13 | ~ class_RealVector_Oreal__vector(X3) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_796]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5348,plain,
% 0.82/1.13 ( ~ class_RealVector_Oreal__vector(X0)
% 0.82/1.13 | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = X3 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5347]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_792,plain,
% 0.82/1.13 ( c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X0,X2)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3115_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5339,plain,
% 0.82/1.13 ( c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X0,X2)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_792]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5340,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5339]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_788,plain,
% 0.82/1.13 ( c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X0,X2)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3116_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5331,plain,
% 0.82/1.13 ( c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X0,X1,tc_Polynomial_Opoly(X2)),X2)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X0,X2)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_788]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5332,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X1,X0)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5331]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_786,plain,
% 0.82/1.13 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3117_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5327,plain,
% 0.82/1.13 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_786]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5328,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5327]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_767,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_Polynomial_Omonom(X0,X2,X3) != c_Polynomial_Omonom(X1,X2,X3)
% 0.82/1.13 | ~ class_HOL_Ozero(X3) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3122_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5289,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_Polynomial_Omonom(X0,X2,X3) != c_Polynomial_Omonom(X1,X2,X3)
% 0.82/1.13 | ~ class_HOL_Ozero(X3) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_767]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5290,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_Omonom(X1,X2,X0) != c_Polynomial_Omonom(X3,X2,X0)
% 0.82/1.13 | X1 = X3 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5289]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_764,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3123_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5283,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_764]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5284,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 0.82/1.13 | X1 = X2 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5283]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_761,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3124_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5277,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_761]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5278,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 0.82/1.13 | X2 = X3 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5277]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_758,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 0.82/1.13 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3125_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5271,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 0.82/1.13 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_758]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5272,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 0.82/1.13 | X1 = X3 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5271]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_755,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.82/1.13 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3126_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5265,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.82/1.13 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_755]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5266,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.82/1.13 | X2 = X3 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5265]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_752,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.82/1.13 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3127_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5259,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.82/1.13 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_752]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5260,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.82/1.13 | X2 = X3 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5259]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_749,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_Polynomial_OpCons(X2,X0,X3) != c_Polynomial_OpCons(X4,X1,X3)
% 0.82/1.13 | ~ class_HOL_Ozero(X3) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3128_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5253,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_Polynomial_OpCons(X2,X0,X3) != c_Polynomial_OpCons(X4,X1,X3)
% 0.82/1.13 | ~ class_HOL_Ozero(X3) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_749]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5254,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_OpCons(X1,X2,X0) != c_Polynomial_OpCons(X3,X4,X0)
% 0.82/1.13 | X2 = X4 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5253]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_746,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_Polynomial_OpCons(X0,X2,X3) != c_Polynomial_OpCons(X1,X4,X3)
% 0.82/1.13 | ~ class_HOL_Ozero(X3) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3129_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5247,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_Polynomial_OpCons(X0,X2,X3) != c_Polynomial_OpCons(X1,X4,X3)
% 0.82/1.13 | ~ class_HOL_Ozero(X3) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_746]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5248,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_OpCons(X1,X2,X0) != c_Polynomial_OpCons(X3,X4,X0)
% 0.82/1.13 | X1 = X3 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5247]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_741,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X0,X1,X2),X0,tc_Polynomial_Opoly(X2))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3131_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5237,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X0,X1,X2),X0,tc_Polynomial_Opoly(X2))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_741]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5238,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X0),X1,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5237]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_739,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X0,X1,X2),X1,tc_Polynomial_Opoly(X2))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3132_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5233,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X0,X1,X2),X1,tc_Polynomial_Opoly(X2))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_739]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5234,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X0),X2,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5233]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_736,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(X2,X0,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3)
% 0.82/1.13 | ~ class_HOL_Ozero(X3) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3133_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5227,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(X2,X0,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3)
% 0.82/1.13 | ~ class_HOL_Ozero(X3) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_736]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5228,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(X1,X2,X0),X3,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X2 = X3 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5227]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_733,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3134_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5221,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_733]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5222,plain,
% 0.82/1.13 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.13 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5221]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_730,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3135_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5215,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_730]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5216,plain,
% 0.82/1.13 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.13 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5215]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_724,plain,
% 0.82/1.13 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3137_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5203,plain,
% 0.82/1.13 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_724]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5204,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5203]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_721,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3138_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5197,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_721]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5198,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5197]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_718,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3139_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5191,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_718]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5192,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5191]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_715,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3140_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5185,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_715]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5186,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5185]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_712,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3141_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5179,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_712]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5180,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5179]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_709,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3142_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5173,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_709]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5174,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | 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)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5173]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_707,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3143_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5169,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_707]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5170,plain,
% 0.82/1.13 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.13 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5169]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_705,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3144_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5165,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_705]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5166,plain,
% 0.82/1.13 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.13 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5165]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_703,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3145_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5161,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_703]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5162,plain,
% 0.82/1.13 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.13 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5161]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_701,plain,
% 0.82/1.13 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3146_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5157,plain,
% 0.82/1.13 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_701]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5158,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5157]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_699,plain,
% 0.82/1.13 ( c_Polynomial_Ocoeff(c_Polynomial_Omonom(X0,X1,X2),X1,X2) = X0
% 0.82/1.13 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3147_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5153,plain,
% 0.82/1.13 ( c_Polynomial_Ocoeff(c_Polynomial_Omonom(X0,X1,X2),X1,X2) = X0
% 0.82/1.13 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_699]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5154,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(X1,X2,X0),X2,X0) = X1 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5153]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_697,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3148_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5149,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_697]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5150,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5149]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_695,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Odvd(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3149_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5145,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Odvd(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_695]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5146,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5145]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_693,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3150_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5141,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_693]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5142,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5141]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_691,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3151_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5137,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_691]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5138,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5137]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_689,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3152_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5133,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_689]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5134,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oring(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5133]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_687,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3153_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5129,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_687]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5130,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5129]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_685,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3154_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5125,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_685]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5126,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oring(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5125]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_683,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3155_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5121,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_683]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5122,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5121]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_681,plain,
% 0.82/1.13 ( c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(X1)),X2,X1) = c_Polynomial_Opoly__gcd(X0,X2,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3156_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5117,plain,
% 0.82/1.13 ( c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(X1)),X2,X1) = c_Polynomial_Opoly__gcd(X0,X2,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_681]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5118,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X2,X0) = c_Polynomial_Opoly__gcd(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5117]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_678,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3157_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5111,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_678]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5112,plain,
% 0.82/1.13 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.13 | c_Divides_Odiv__class_Omod(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5111]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_676,plain,
% 0.82/1.13 ( c_Polynomial_Opoly__gcd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X2) = c_Polynomial_Opoly__gcd(X0,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3158_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5107,plain,
% 0.82/1.13 ( c_Polynomial_Opoly__gcd(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X2) = c_Polynomial_Opoly__gcd(X0,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_676]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5108,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_Polynomial_Opoly__gcd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X0)),X0) = c_Polynomial_Opoly__gcd(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5107]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_673,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3159_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5101,plain,
% 0.82/1.13 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.82/1.13 | ~ class_Divides_Osemiring__div(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_673]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5102,plain,
% 0.82/1.13 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.13 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5101]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_670,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3160_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5095,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_670]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5096,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5095]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_667,plain,
% 0.82/1.13 ( c_Polynomial_Opos__poly(c_Polynomial_OpCons(X0,X1,X2),X2)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3161_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5089,plain,
% 0.82/1.13 ( c_Polynomial_Opos__poly(c_Polynomial_OpCons(X0,X1,X2),X2)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_667]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5090,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X0),X0)
% 0.82/1.13 | ~ c_Polynomial_Opos__poly(X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5089]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_664,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3162_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5083,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_664]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5084,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5083]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_661,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Polynomial_Odegree(c_Polynomial_Osmult(X0,X2,X1),X1) = c_Polynomial_Odegree(X2,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3163_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5077,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Polynomial_Odegree(c_Polynomial_Osmult(X0,X2,X1),X1) = c_Polynomial_Odegree(X2,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_661]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5078,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.13 | c_Polynomial_Odegree(c_Polynomial_Osmult(X1,X2,X0),X0) = c_Polynomial_Odegree(X2,X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5077]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_659,plain,
% 0.82/1.13 ( c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3164_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5073,plain,
% 0.82/1.13 ( c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_659]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5074,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5073]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_657,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3165_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5069,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_657]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5070,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5069]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_655,plain,
% 0.82/1.13 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3166_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5065,plain,
% 0.82/1.13 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_655]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5066,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5065]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_651,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3168_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5057,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_651]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5058,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5057]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_649,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3169_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5053,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_649]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5054,plain,
% 0.82/1.13 ( ~ class_Int_Onumber__ring(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5053]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_647,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3170_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5049,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_647]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5050,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5049]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_645,plain,
% 0.82/1.13 ( c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2),X2) = c_Polynomial_Odegree(X0,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3171_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5045,plain,
% 0.82/1.13 ( c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2),X2) = c_Polynomial_Odegree(X0,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_645]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5046,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.13 | c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X0) = c_Polynomial_Odegree(X1,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5045]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_642,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Polynomial_Odegree(c_Polynomial_Omonom(X0,X2,X1),X1) = X2
% 0.82/1.13 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3172_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5039,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Polynomial_Odegree(c_Polynomial_Omonom(X0,X2,X1),X1) = X2
% 0.82/1.13 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_642]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5040,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_Odegree(c_Polynomial_Omonom(X1,X2,X0),X0) = X2
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5039]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_640,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__vector(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3173_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5035,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_RealVector_Oreal__vector(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_640]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5036,plain,
% 0.82/1.13 ( ~ class_RealVector_Oreal__vector(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5035]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_638,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3174_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5031,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_638]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5032,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5031]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_628,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_Osmult(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3176_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5011,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_Osmult(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_628]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5012,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.13 | c_Polynomial_Osmult(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5011]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_625,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_Opoly__gcd(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3177_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5005,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_Opoly__gcd(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_625]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5006,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_Polynomial_Opoly__gcd(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_5005]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_622,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_Opoly__gcd(X2,X0,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3178_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4999,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_Opoly__gcd(X2,X0,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_622]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_5000,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_Polynomial_Opoly__gcd(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4999]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_619,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3179_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4993,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_619]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4994,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.13 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4993]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_616,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_OpCons(X2,X0,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3180_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4987,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | c_Polynomial_OpCons(X2,X0,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_616]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4988,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4987]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_614,plain,
% 0.82/1.13 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Polynomial_Opoly__gcd(X1,X0,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3181_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4983,plain,
% 0.82/1.13 ( c_Polynomial_Opoly__gcd(X0,X1,X2) = c_Polynomial_Opoly__gcd(X1,X0,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_614]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4984,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_Polynomial_Opoly__gcd(X1,X2,X0) = c_Polynomial_Opoly__gcd(X2,X1,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4983]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_612,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3182_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4979,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 0.82/1.13 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_612]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4980,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4979]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_608,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3184_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4971,plain,
% 0.82/1.13 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_608]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4972,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4971]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_604,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3186_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4963,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_604]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4964,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4963]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_601,plain,
% 0.82/1.13 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3187_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4957,plain,
% 0.82/1.13 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_601]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4958,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4957]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_598,plain,
% 0.82/1.13 ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3188_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4951,plain,
% 0.82/1.13 ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_598]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4952,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.13 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4951]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_596,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3189_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4947,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_596]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4948,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4947]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_594,plain,
% 0.82/1.13 ( 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
% 0.82/1.13 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3190_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4943,plain,
% 0.82/1.13 ( 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
% 0.82/1.13 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_594]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4944,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.82/1.13 | 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 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4943]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_591,plain,
% 0.82/1.13 ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3191_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4937,plain,
% 0.82/1.13 ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_591]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4938,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.13 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4937]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_588,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Polynomial_Omonom(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3192_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4931,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Polynomial_Omonom(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_588]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4932,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_Omonom(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4931]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_585,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Polynomial_OpCons(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3193_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4925,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Polynomial_OpCons(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.13 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_585]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4926,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4925]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_583,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3194_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4921,plain,
% 0.82/1.13 ( 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)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_583]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4922,plain,
% 0.82/1.13 ( ~ class_Int_Onumber__ring(X0)
% 0.82/1.13 | 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) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4921]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_579,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | ~ c_HOL_Oeq__class_Oeq(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.13 | ~ class_HOL_Oeq(X2)
% 0.82/1.13 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3195_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4913,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | ~ c_HOL_Oeq__class_Oeq(X0,X1,tc_Polynomial_Opoly(X2))
% 0.82/1.13 | ~ class_HOL_Oeq(X2)
% 0.82/1.13 | ~ class_HOL_Ozero(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_579]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4914,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | ~ class_HOL_Oeq(X0)
% 0.82/1.13 | ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X0))
% 0.82/1.13 | X1 = X2 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4913]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_576,plain,
% 0.82/1.13 ( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.82/1.13 | ~ class_HOL_Oeq(X0)
% 0.82/1.13 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3196_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4907,plain,
% 0.82/1.13 ( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0))
% 0.82/1.13 | ~ class_HOL_Oeq(X0)
% 0.82/1.13 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_576]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4908,plain,
% 0.82/1.13 ( ~ class_HOL_Ozero(X0)
% 0.82/1.13 | ~ class_HOL_Oeq(X0)
% 0.82/1.13 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4907]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_571,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3198_0) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4897,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_571]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_568,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3198_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4891,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_568]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4892,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4891]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_567,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3199_0) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4889,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_567]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_564,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3199_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4883,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_564]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4884,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4883]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_560,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3200_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4875,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_560]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4876,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = X2 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4875]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_558,plain,
% 0.82/1.13 ( c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3201_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4871,plain,
% 0.82/1.13 ( c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_558]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4872,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4871]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_555,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3202_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4865,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_555]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4866,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4865]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_551,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 0.82/1.13 | ~ class_Int_Onumber__ring(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3203_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4857,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 0.82/1.13 | ~ class_Int_Onumber__ring(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_551]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4858,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.13 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4857]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_547,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3204_3) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4849,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_547]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4850,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.13 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 0.82/1.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = X2 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4849]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_544,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3205_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4843,plain,
% 0.82/1.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.82/1.13 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_544]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4844,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.82/1.13 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4843]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_542,plain,
% 0.82/1.13 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0))
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3206_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4839,plain,
% 0.82/1.13 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0))
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_542]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4840,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4839]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_539,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3207_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4833,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_539]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4834,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.82/1.13 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4833]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_536,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3208_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4827,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_536]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4828,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 0.82/1.13 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4827]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_533,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3209_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4821,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_533]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4822,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = X2 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4821]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_530,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3210_2) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4815,plain,
% 0.82/1.13 ( X0 = X1
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.82/1.13 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_530]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4816,plain,
% 0.82/1.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.13 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.13 | X1 = X2 ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4815]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_528,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3211_1) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4811,plain,
% 0.82/1.13 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.13 inference(copy,[status(esa)],[c_528]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_4812,plain,
% 0.82/1.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.82/1.13 inference(rewriting,[status(thm)],[c_4811]) ).
% 0.82/1.13
% 0.82/1.13 cnf(c_525,plain,
% 0.82/1.13 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.13 | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.13 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3212_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4805,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_525]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4806,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4805]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_522,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3213_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4799,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_522]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4800,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4799]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_519,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3214_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4793,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_519]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4794,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4793]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_517,plain,
% 0.82/1.14 ( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3215_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4789,plain,
% 0.82/1.14 ( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_517]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4790,plain,
% 0.82/1.14 ( ~ class_HOL_Ozero(X0)
% 0.82/1.14 | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4789]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_515,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3216_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4785,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_515]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4786,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4785]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_513,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3217_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4781,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_513]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4782,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4781]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_510,plain,
% 0.82/1.14 ( X0 = X1 | ~ c_HOL_Oeq__class_Oeq(X0,X1,X2) | ~ class_HOL_Oeq(X2) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3218_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4775,plain,
% 0.82/1.14 ( X0 = X1 | ~ c_HOL_Oeq__class_Oeq(X0,X1,X2) | ~ class_HOL_Oeq(X2) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_510]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4776,plain,
% 0.82/1.14 ( ~ class_HOL_Oeq(X0) | ~ c_HOL_Oeq__class_Oeq(X1,X2,X0) | X1 = X2 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4775]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_498,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | 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)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3224_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4751,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | 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)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_498]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4752,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.14 | 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)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4751]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_495,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | 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)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3225_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4745,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | 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)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_495]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4746,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.82/1.14 | 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)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4745]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_491,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3227_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4737,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_491]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4738,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4737]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_489,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3228_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4733,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_489]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4734,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4733]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_487,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3229_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4729,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_487]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4730,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4729]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_485,plain,
% 0.82/1.14 ( c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3230_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4725,plain,
% 0.82/1.14 ( c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_485]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4726,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4725]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_483,plain,
% 0.82/1.14 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3231_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4721,plain,
% 0.82/1.14 ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_483]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4722,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4721]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_481,plain,
% 0.82/1.14 ( c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3232_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4717,plain,
% 0.82/1.14 ( c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_481]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4718,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4717]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_479,plain,
% 0.82/1.14 ( c_Polynomial_Osmult(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3233_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4713,plain,
% 0.82/1.14 ( c_Polynomial_Osmult(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_479]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4714,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.14 | c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4713]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_477,plain,
% 0.82/1.14 ( c_Polynomial_Osmult(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3234_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4709,plain,
% 0.82/1.14 ( c_Polynomial_Osmult(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_477]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4710,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4709]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_474,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 0.82/1.14 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3235_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4703,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 0.82/1.14 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_474]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4704,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.14 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4703]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_472,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3236_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4699,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_472]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4700,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4699]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_470,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = X1
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3237_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4695,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = X1
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_470]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4696,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4695]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_468,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3238_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4691,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_468]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4692,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.14 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4691]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_466,plain,
% 0.82/1.14 ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),X1)
% 0.82/1.14 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3239_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4687,plain,
% 0.82/1.14 ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),X1)
% 0.82/1.14 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_466]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4688,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.82/1.14 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4687]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_464,plain,
% 0.82/1.14 ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1)
% 0.82/1.14 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3240_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4683,plain,
% 0.82/1.14 ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1)
% 0.82/1.14 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_464]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4684,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.82/1.14 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4683]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_459,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X0,X1),X1)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3242_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4673,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X0,X1),X1)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_459]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4674,plain,
% 0.82/1.14 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4673]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_455,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.14 | c_Polynomial_Opos__poly(X0,X1)
% 0.82/1.14 | c_Polynomial_Opos__poly(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(X1)),X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3243_3) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4665,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 0.82/1.14 | c_Polynomial_Opos__poly(X0,X1)
% 0.82/1.14 | c_Polynomial_Opos__poly(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(X1)),X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_455]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4666,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.14 | c_Polynomial_Opos__poly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.14 | c_Polynomial_Opos__poly(X1,X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4665]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_450,plain,
% 0.82/1.14 ( c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3245_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4655,plain,
% 0.82/1.14 ( c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_450]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4656,plain,
% 0.82/1.14 ( ~ class_HOL_Ozero(X0)
% 0.82/1.14 | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4655]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_448,plain,
% 0.82/1.14 ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3246_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4651,plain,
% 0.82/1.14 ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_448]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4652,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.14 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4651]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_446,plain,
% 0.82/1.14 ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3247_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4647,plain,
% 0.82/1.14 ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_446]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4648,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4647]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_444,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3248_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4643,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_444]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4644,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.14 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4643]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_442,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3249_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4639,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_442]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4640,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4639]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_427,plain,
% 0.82/1.14 ( c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3254_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4609,plain,
% 0.82/1.14 ( c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_427]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4610,plain,
% 0.82/1.14 ( ~ class_HOL_Ozero(X0)
% 0.82/1.14 | c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4609]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_425,plain,
% 0.82/1.14 ( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3255_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4605,plain,
% 0.82/1.14 ( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_425]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4606,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.14 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4605]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_423,plain,
% 0.82/1.14 ( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3256_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4601,plain,
% 0.82/1.14 ( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_423]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4602,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4601]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_421,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3257_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4597,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_421]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4598,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4597]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_418,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_Int_Onumber__ring(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3258_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4591,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_Int_Onumber__ring(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_418]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4592,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.14 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4591]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_415,plain,
% 0.82/1.14 ( c_HOL_Oeq__class_Oeq(X0,X0,tc_Polynomial_Opoly(X1))
% 0.82/1.14 | ~ class_HOL_Oeq(X1)
% 0.82/1.14 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3259_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4585,plain,
% 0.82/1.14 ( c_HOL_Oeq__class_Oeq(X0,X0,tc_Polynomial_Opoly(X1))
% 0.82/1.14 | ~ class_HOL_Oeq(X1)
% 0.82/1.14 | ~ class_HOL_Ozero(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_415]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4586,plain,
% 0.82/1.14 ( ~ class_HOL_Ozero(X0)
% 0.82/1.14 | ~ class_HOL_Oeq(X0)
% 0.82/1.14 | c_HOL_Oeq__class_Oeq(X1,X1,tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4585]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_413,plain,
% 0.82/1.14 ( c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(X1)),X1) = c_Polynomial_Odegree(X0,X1)
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3260_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4581,plain,
% 0.82/1.14 ( c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(X0,tc_Polynomial_Opoly(X1)),X1) = c_Polynomial_Odegree(X0,X1)
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_413]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4582,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.14 | c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X0)),X0) = c_Polynomial_Odegree(X1,X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4581]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_410,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Int_Onumber__ring(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3261_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4575,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Int_Onumber__ring(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_410]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4576,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.82/1.14 | ~ class_Int_Onumber__ring(X0)
% 0.82/1.14 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4575]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_408,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3262_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4571,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_408]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4572,plain,
% 0.82/1.14 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4571]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_406,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3263_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4567,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_406]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4568,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4567]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_404,plain,
% 0.82/1.14 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_RealVector_Oreal__vector(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3264_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4563,plain,
% 0.82/1.14 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_RealVector_Oreal__vector(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_404]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4564,plain,
% 0.82/1.14 ( ~ class_RealVector_Oreal__vector(X0)
% 0.82/1.14 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4563]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_402,plain,
% 0.82/1.14 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3265_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4559,plain,
% 0.82/1.14 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_402]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4560,plain,
% 0.82/1.14 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.82/1.14 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4559]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_400,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3266_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4555,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_400]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4556,plain,
% 0.82/1.14 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.14 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4555]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_398,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3267_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4551,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_398]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4552,plain,
% 0.82/1.14 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.14 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4551]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_396,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3268_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4547,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_396]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4548,plain,
% 0.82/1.14 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.14 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4547]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_392,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3270_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4539,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_392]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4540,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4539]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_388,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3272_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4531,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_388]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4532,plain,
% 0.82/1.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4531]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_386,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3273_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4527,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_386]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4528,plain,
% 0.82/1.14 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.14 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4527]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_382,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3275_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4519,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_382]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4520,plain,
% 0.82/1.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4519]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_380,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3276_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4515,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_380]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4516,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4515]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_378,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3277_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4511,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_378]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4512,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4511]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_376,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3278_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4507,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_376]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4508,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4507]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_374,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3279_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4503,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_374]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4504,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4503]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_372,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3280_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4499,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_372]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4500,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4499]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_370,plain,
% 0.82/1.14 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3281_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4495,plain,
% 0.82/1.14 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_370]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4496,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.82/1.14 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4495]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_364,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.14 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3283_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4483,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.14 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_364]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4484,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4483]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_361,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3284_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4477,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_361]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4478,plain,
% 0.82/1.14 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.14 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4477]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_357,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3286_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4469,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_357]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4470,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4469]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_355,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3287_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4465,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_355]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4466,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4465]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_353,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3288_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4461,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_353]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4462,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4461]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_351,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3289_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4457,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_351]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4458,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4457]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_349,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3290_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4453,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_349]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4454,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4453]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_347,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3291_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4449,plain,
% 0.82/1.14 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_347]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4450,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 0.82/1.14 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4449]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_345,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3292_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4445,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_345]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4446,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.14 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4445]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_343,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3293_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4441,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_343]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4442,plain,
% 0.82/1.14 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.14 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4441]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_341,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3294_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4437,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_341]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4438,plain,
% 0.82/1.14 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.14 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4437]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_339,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3295_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4433,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_339]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4434,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4433]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_337,plain,
% 0.82/1.14 ( c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3296_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4429,plain,
% 0.82/1.14 ( c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_337]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4430,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4429]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_333,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3298_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4421,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_333]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4422,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4421]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_331,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3299_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4417,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_331]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4418,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4417]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_329,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3300_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4413,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_329]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4414,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4413]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_327,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3301_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4409,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 0.82/1.14 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_327]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4410,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4409]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_325,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3302_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4405,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_325]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4406,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4405]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_323,plain,
% 0.82/1.14 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3303_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4401,plain,
% 0.82/1.14 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_323]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4402,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4401]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_321,plain,
% 0.82/1.14 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3304_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4397,plain,
% 0.82/1.14 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_321]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4398,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4397]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_317,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3306_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4389,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_317]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4390,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.14 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4389]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_315,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3307_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4385,plain,
% 0.82/1.14 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_315]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4386,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.14 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4385]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_313,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3308_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4381,plain,
% 0.82/1.14 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Divides_Osemiring__div(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_313]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4382,plain,
% 0.82/1.14 ( ~ class_Divides_Osemiring__div(X0)
% 0.82/1.14 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4381]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_308,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | X0 = X2
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3309_4) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4371,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | X0 = X2
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_308]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4372,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | X1 = X2 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4371]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_306,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3310_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4367,plain,
% 0.82/1.14 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_306]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4368,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.82/1.14 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4367]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_304,plain,
% 0.82/1.14 ( c_HOL_Oeq__class_Oeq(X0,X0,X1) | ~ class_HOL_Oeq(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3311_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4363,plain,
% 0.82/1.14 ( c_HOL_Oeq__class_Oeq(X0,X0,X1) | ~ class_HOL_Oeq(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_304]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4364,plain,
% 0.82/1.14 ( ~ class_HOL_Oeq(X0) | c_HOL_Oeq__class_Oeq(X1,X1,X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4363]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_302,plain,
% 0.82/1.14 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3312_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4359,plain,
% 0.82/1.14 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_302]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4360,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4359]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_300,plain,
% 0.82/1.14 ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 0.82/1.14 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3313_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4355,plain,
% 0.82/1.14 ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 0.82/1.14 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_300]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4356,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.82/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4355]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_298,plain,
% 0.82/1.14 ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 0.82/1.14 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3314_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4351,plain,
% 0.82/1.14 ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 0.82/1.14 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_298]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4352,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.82/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4351]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_296,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3315_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4347,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_296]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4348,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4347]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_290,plain,
% 0.82/1.14 ( ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3317_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4335,plain,
% 0.82/1.14 ( ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_290]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4336,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.14 | ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4335]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_288,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3318_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4331,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_288]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4332,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4331]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_286,plain,
% 0.82/1.14 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3319_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4327,plain,
% 0.82/1.14 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_286]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4328,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4327]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_280,plain,
% 0.82/1.14 ( X0 = X1
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3321_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4315,plain,
% 0.82/1.14 ( X0 = X1
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_280]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4316,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.82/1.14 | X1 = X2 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4315]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_277,plain,
% 0.82/1.14 ( X0 = X1
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.82/1.14 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3322_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4309,plain,
% 0.82/1.14 ( X0 = X1
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.82/1.14 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_277]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4310,plain,
% 0.82/1.14 ( ~ class_Lattices_Oboolean__algebra(X0)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.82/1.14 | X1 = X2 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4309]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_274,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3323_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4303,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_274]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4304,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4303]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_262,plain,
% 0.82/1.14 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 0.82/1.14 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3327_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4279,plain,
% 0.82/1.14 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 0.82/1.14 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_262]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4280,plain,
% 0.82/1.14 ( ~ class_Lattices_Oboolean__algebra(X0)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4279]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_256,plain,
% 0.82/1.14 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3330_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4267,plain,
% 0.82/1.14 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_256]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4268,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4267]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_250,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3332_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4255,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_250]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4256,plain,
% 0.82/1.14 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4255]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_247,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3333_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4249,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_247]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4250,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4249]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_244,plain,
% 0.82/1.14 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3334_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4243,plain,
% 0.82/1.14 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_244]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4244,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.14 | c_HOL_Ozero__class_Ozero(X0) = X1
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4243]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_241,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3335_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4237,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_241]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4238,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4237]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_238,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3336_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4231,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_238]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4232,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4231]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_235,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3337_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4225,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_235]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4226,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.82/1.14 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4225]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_223,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 0.82/1.14 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3341_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4201,plain,
% 0.82/1.14 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 0.82/1.14 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_223]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4202,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 0.82/1.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4201]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_221,plain,
% 0.82/1.14 ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3342_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4197,plain,
% 0.82/1.14 ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_221]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4198,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.82/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4197]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_219,plain,
% 0.82/1.14 ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3343_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4193,plain,
% 0.82/1.14 ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_219]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4194,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.82/1.14 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4193]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_217,plain,
% 0.82/1.14 ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3344_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4189,plain,
% 0.82/1.14 ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_217]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4190,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.82/1.14 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4189]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_215,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3345_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4185,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_215]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4186,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4185]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_213,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3346_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4181,plain,
% 0.82/1.14 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_213]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4182,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.82/1.14 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4181]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_211,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3347_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4177,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_211]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4178,plain,
% 0.82/1.14 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4177]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_209,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3348_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4173,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_209]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4174,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4173]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_207,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3349_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4169,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_207]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4170,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4169]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_203,plain,
% 0.82/1.14 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3351_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4161,plain,
% 0.82/1.14 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_203]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4162,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4161]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_201,plain,
% 0.82/1.14 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3352_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4157,plain,
% 0.82/1.14 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_201]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4158,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 0.82/1.14 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4157]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_199,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3353_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4153,plain,
% 0.82/1.14 ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_199]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4154,plain,
% 0.82/1.14 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 0.82/1.14 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4153]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_197,plain,
% 0.82/1.14 ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3354_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4149,plain,
% 0.82/1.14 ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_197]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4150,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4149]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_194,plain,
% 0.82/1.14 ( class_HOL_Oeq(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_HOL_Oeq(X0)
% 0.82/1.14 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3356_2) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4143,plain,
% 0.82/1.14 ( class_HOL_Oeq(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_HOL_Oeq(X0)
% 0.82/1.14 | ~ class_HOL_Ozero(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_194]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4144,plain,
% 0.82/1.14 ( ~ class_HOL_Ozero(X0)
% 0.82/1.14 | class_HOL_Oeq(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_HOL_Oeq(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4143]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_190,plain,
% 0.82/1.14 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3358_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4135,plain,
% 0.82/1.14 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.82/1.14 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_190]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4136,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.82/1.14 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4135]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_188,plain,
% 0.82/1.14 ( class_HOL_Ozero(tc_Polynomial_Opoly(X0)) | ~ class_HOL_Ozero(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3359_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4131,plain,
% 0.82/1.14 ( class_HOL_Ozero(tc_Polynomial_Opoly(X0)) | ~ class_HOL_Ozero(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_188]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_186,plain,
% 0.82/1.14 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3360_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4127,plain,
% 0.82/1.14 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_186]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4128,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | class_Power_Opower(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4127]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_184,plain,
% 0.82/1.14 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3361_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4123,plain,
% 0.82/1.14 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_184]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4124,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.14 | class_Int_Onumber__ring(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4123]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_182,plain,
% 0.82/1.14 ( class_Divides_Oring__div(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3362_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4119,plain,
% 0.82/1.14 ( class_Divides_Oring__div(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_182]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4120,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.82/1.14 | class_Divides_Oring__div(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4119]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_180,plain,
% 0.82/1.14 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3363_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4115,plain,
% 0.82/1.14 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_180]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4116,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4115]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_178,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3364_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4111,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_178]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_176,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3365_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4107,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_176]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4108,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.82/1.14 | class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4107]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_174,plain,
% 0.82/1.14 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3366_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4103,plain,
% 0.82/1.14 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_174]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_172,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3367_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4099,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_172]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4100,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.82/1.14 | class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4099]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_170,plain,
% 0.82/1.14 ( class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3368_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4095,plain,
% 0.82/1.14 ( class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_170]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4096,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.82/1.14 | class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4095]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_168,plain,
% 0.82/1.14 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3369_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4091,plain,
% 0.82/1.14 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_168]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4092,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.82/1.14 | class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4091]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_166,plain,
% 0.82/1.14 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3370_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4087,plain,
% 0.82/1.14 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_166]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4088,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.82/1.14 | class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4087]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_164,plain,
% 0.82/1.14 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3371_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4083,plain,
% 0.82/1.14 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_164]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4084,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4083]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_162,plain,
% 0.82/1.14 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3372_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4079,plain,
% 0.82/1.14 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_162]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4080,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4079]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_160,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3373_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4075,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_160]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_158,plain,
% 0.82/1.14 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3374_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4071,plain,
% 0.82/1.14 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_158]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4072,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4071]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_156,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3375_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4067,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_156]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_154,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3376_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4063,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_154]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_152,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3377_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4059,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_152]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_150,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3378_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4055,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_150]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4056,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4055]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_148,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3379_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4051,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_148]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_146,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3380_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4047,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_146]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4048,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4047]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_144,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3381_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4043,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_144]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_142,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3382_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4039,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_142]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4040,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.82/1.14 | class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4039]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_140,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3383_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4035,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_140]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4036,plain,
% 0.82/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 0.82/1.14 | class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4035]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_138,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3384_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4031,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_138]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_136,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3385_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4027,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_136]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_134,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3386_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4023,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_134]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_132,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3387_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4019,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_132]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4020,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0)
% 0.82/1.14 | class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4019]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_130,plain,
% 0.82/1.14 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3388_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4015,plain,
% 0.82/1.14 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_130]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_128,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3389_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4011,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_128]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_126,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3390_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4007,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_126]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4008,plain,
% 0.82/1.14 ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0)
% 0.82/1.14 | class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 0.82/1.14 inference(rewriting,[status(thm)],[c_4007]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_124,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3391_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_4003,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_124]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_122,plain,
% 0.82/1.14 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3392_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3999,plain,
% 0.82/1.14 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_122]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_120,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3393_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3995,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_120]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_118,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3394_1) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3991,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 0.82/1.14 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X0) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_118]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_117,plain,
% 0.82/1.14 ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3395_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3989,plain,
% 0.82/1.14 ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q ),
% 0.82/1.14 inference(copy,[status(esa)],[c_117]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_116,plain,
% 0.82/1.14 ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3396_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3987,plain,
% 0.82/1.14 ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p ),
% 0.82/1.14 inference(copy,[status(esa)],[c_116]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_115,plain,
% 0.82/1.14 ( c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_q,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3222_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3985,plain,
% 0.82/1.14 ( c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_q,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_115]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_114,plain,
% 0.82/1.14 ( c_lessequals(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_q,tc_Complex_Ocomplex),tc_nat) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3223_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3983,plain,
% 0.82/1.14 ( c_lessequals(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_q,tc_Complex_Ocomplex),tc_nat) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_114]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_113,plain,
% 0.82/1.14 ( class_HOL_Oeq(tc_prod(X0,X1)) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3355_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3981,plain,
% 0.82/1.14 ( class_HOL_Oeq(tc_prod(X0,X1)) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_113]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_112,plain,
% 0.82/1.14 ( class_HOL_Oeq(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3397_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3979,plain,
% 0.82/1.14 ( class_HOL_Oeq(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_112]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_111,plain,
% 0.82/1.14 ( class_HOL_Ozero(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3398_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3977,plain,
% 0.82/1.14 ( class_HOL_Ozero(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_111]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_110,plain,
% 0.82/1.14 ( class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3399_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3975,plain,
% 0.82/1.14 ( class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_110]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_109,plain,
% 0.82/1.14 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3400_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3973,plain,
% 0.82/1.14 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_109]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_108,plain,
% 0.82/1.14 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3401_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3971,plain,
% 0.82/1.14 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_108]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_107,plain,
% 0.82/1.14 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3402_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3969,plain,
% 0.82/1.14 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_107]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_106,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3403_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3967,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_106]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_105,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3404_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3965,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_105]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_104,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3405_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3963,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_104]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_103,plain,
% 0.82/1.14 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3406_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3961,plain,
% 0.82/1.14 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_103]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_102,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3407_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3959,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_102]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_101,plain,
% 0.82/1.14 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3408_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3957,plain,
% 0.82/1.14 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_101]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_100,plain,
% 0.82/1.14 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3409_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3955,plain,
% 0.82/1.14 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_100]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_99,plain,
% 0.82/1.14 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3410_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3953,plain,
% 0.82/1.14 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_99]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_98,plain,
% 0.82/1.14 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3411_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3951,plain,
% 0.82/1.14 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_98]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_97,plain,
% 0.82/1.14 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3412_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3949,plain,
% 0.82/1.14 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_97]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_96,plain,
% 0.82/1.14 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3413_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3947,plain,
% 0.82/1.14 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_96]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_95,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3414_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3945,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_95]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_94,plain,
% 0.82/1.14 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3415_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3943,plain,
% 0.82/1.14 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_94]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_93,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3416_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3941,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_93]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_92,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3417_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3939,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_92]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_91,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3418_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3937,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_91]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_90,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3419_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3935,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_90]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_89,plain,
% 0.82/1.14 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3420_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3933,plain,
% 0.82/1.14 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_89]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_88,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3421_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3931,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_88]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_87,plain,
% 0.82/1.14 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3422_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3929,plain,
% 0.82/1.14 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_87]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_86,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3423_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3927,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_86]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_85,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3424_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3925,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_85]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_84,plain,
% 0.82/1.14 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3425_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3923,plain,
% 0.82/1.14 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_84]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_83,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3426_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3921,plain,
% 0.82/1.14 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_83]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_82,plain,
% 0.82/1.14 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3427_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3919,plain,
% 0.82/1.14 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_82]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_81,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3428_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3917,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_81]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_80,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3429_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3915,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_80]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_79,plain,
% 0.82/1.14 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3430_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3913,plain,
% 0.82/1.14 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_79]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_78,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3431_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3911,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_78]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_77,plain,
% 0.82/1.14 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3432_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3909,plain,
% 0.82/1.14 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_77]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_76,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3433_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3907,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_76]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_75,plain,
% 0.82/1.14 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3434_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3905,plain,
% 0.82/1.14 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_75]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_74,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3435_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3903,plain,
% 0.82/1.14 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_74]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_73,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3436_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3901,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_73]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_72,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3437_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3899,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_72]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_71,plain,
% 0.82/1.14 ( class_HOL_Oeq(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3438_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3897,plain,
% 0.82/1.14 ( class_HOL_Oeq(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_71]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_70,plain,
% 0.82/1.14 ( class_HOL_Ozero(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3439_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3895,plain,
% 0.82/1.14 ( class_HOL_Ozero(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_70]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_69,plain,
% 0.82/1.14 ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3440_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3893,plain,
% 0.82/1.14 ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_69]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_68,plain,
% 0.82/1.14 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3441_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3891,plain,
% 0.82/1.14 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_68]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_67,plain,
% 0.82/1.14 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3442_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3889,plain,
% 0.82/1.14 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_67]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_66,plain,
% 0.82/1.14 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3443_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3887,plain,
% 0.82/1.14 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_66]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_65,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3444_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3885,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_65]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_64,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3445_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3883,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_64]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_63,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3446_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3881,plain,
% 0.82/1.14 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_63]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_62,plain,
% 0.82/1.14 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3447_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3879,plain,
% 0.82/1.14 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_62]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_61,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3448_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3877,plain,
% 0.82/1.14 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_61]) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_60,plain,
% 0.82/1.14 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 0.82/1.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3449_0) ).
% 0.82/1.14
% 0.82/1.14 cnf(c_3875,plain,
% 0.82/1.14 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 0.82/1.14 inference(copy,[status(esa)],[c_60]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_59,plain,
% 0.82/1.15 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3450_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3873,plain,
% 0.82/1.15 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_59]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_58,plain,
% 0.82/1.15 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3451_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3871,plain,
% 0.82/1.15 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_58]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_57,plain,
% 0.82/1.15 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3452_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3869,plain,
% 0.82/1.15 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_57]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_56,plain,
% 0.82/1.15 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3453_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3867,plain,
% 0.82/1.15 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_56]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_55,plain,
% 0.82/1.15 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3454_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3865,plain,
% 0.82/1.15 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_55]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_54,plain,
% 0.82/1.15 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3455_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3863,plain,
% 0.82/1.15 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_54]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_53,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3456_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3861,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_53]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_52,plain,
% 0.82/1.15 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3457_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3859,plain,
% 0.82/1.15 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_52]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_51,plain,
% 0.82/1.15 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3458_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3857,plain,
% 0.82/1.15 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_51]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_50,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3459_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3855,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_50]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_49,plain,
% 0.82/1.15 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3460_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3853,plain,
% 0.82/1.15 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_49]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_48,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3461_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3851,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_48]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_47,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3462_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3849,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_47]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_46,plain,
% 0.82/1.15 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3463_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3847,plain,
% 0.82/1.15 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_46]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_45,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3464_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3845,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_45]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_44,plain,
% 0.82/1.15 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3465_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3843,plain,
% 0.82/1.15 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_44]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_43,plain,
% 0.82/1.15 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3466_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3841,plain,
% 0.82/1.15 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_43]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_42,plain,
% 0.82/1.15 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3467_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3839,plain,
% 0.82/1.15 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_42]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_41,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3468_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3837,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_41]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_40,plain,
% 0.82/1.15 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3469_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3835,plain,
% 0.82/1.15 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_40]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_39,plain,
% 0.82/1.15 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3470_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3833,plain,
% 0.82/1.15 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_39]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_38,plain,
% 0.82/1.15 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3471_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3831,plain,
% 0.82/1.15 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_38]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_37,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3472_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3829,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_37]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_36,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3473_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3827,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_36]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_35,plain,
% 0.82/1.15 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3474_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3825,plain,
% 0.82/1.15 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_35]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_34,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3475_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3823,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_34]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_33,plain,
% 0.82/1.15 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3476_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3821,plain,
% 0.82/1.15 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_33]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_32,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3477_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3819,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_32]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_31,plain,
% 0.82/1.15 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3478_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3817,plain,
% 0.82/1.15 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_31]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_30,plain,
% 0.82/1.15 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3479_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3815,plain,
% 0.82/1.15 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_30]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_29,plain,
% 0.82/1.15 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3480_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3813,plain,
% 0.82/1.15 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_29]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_28,plain,
% 0.82/1.15 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3481_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3811,plain,
% 0.82/1.15 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_28]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_27,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3482_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3809,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_27]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_26,plain,
% 0.82/1.15 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3483_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3807,plain,
% 0.82/1.15 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_26]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_25,plain,
% 0.82/1.15 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3484_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3805,plain,
% 0.82/1.15 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_25]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_24,plain,
% 0.82/1.15 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3485_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3803,plain,
% 0.82/1.15 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_24]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_23,plain,
% 0.82/1.15 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3486_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3801,plain,
% 0.82/1.15 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_23]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_22,plain,
% 0.82/1.15 ( class_HOL_Oeq(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3487_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3799,plain,
% 0.82/1.15 ( class_HOL_Oeq(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_22]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_21,plain,
% 0.82/1.15 ( class_HOL_Ozero(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3488_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3797,plain,
% 0.82/1.15 ( class_HOL_Ozero(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_21]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_20,plain,
% 0.82/1.15 ( class_Power_Opower(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3489_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3795,plain,
% 0.82/1.15 ( class_Power_Opower(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_20]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_19,plain,
% 0.82/1.15 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3490_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3793,plain,
% 0.82/1.15 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_19]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_18,plain,
% 0.82/1.15 ( class_Divides_Osemiring__div(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3491_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3791,plain,
% 0.82/1.15 ( class_Divides_Osemiring__div(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_18]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_17,plain,
% 0.82/1.15 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3492_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3789,plain,
% 0.82/1.15 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_17]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_16,plain,
% 0.82/1.15 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3493_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3787,plain,
% 0.82/1.15 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_16]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_15,plain,
% 0.82/1.15 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3494_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3785,plain,
% 0.82/1.15 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_15]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_14,plain,
% 0.82/1.15 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3495_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3783,plain,
% 0.82/1.15 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_14]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_13,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3496_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3781,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_13]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_12,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3497_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3779,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_12]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_11,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3498_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3777,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_11]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_10,plain,
% 0.82/1.15 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3499_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3775,plain,
% 0.82/1.15 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_10]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_9,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3500_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3773,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_9]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_8,plain,
% 0.82/1.15 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3501_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3771,plain,
% 0.82/1.15 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_8]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_7,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3502_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3769,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_7]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_6,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3503_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3767,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_6]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_5,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3504_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3765,plain,
% 0.82/1.15 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_5]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_4,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3505_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3763,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_4]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3506_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3761,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_3]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_2,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3507_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3759,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_2]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_1,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3508_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3757,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_1]) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_0,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 0.82/1.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_c8aa59.p', c_0_3509_0) ).
% 0.82/1.15
% 0.82/1.15 cnf(c_3755,plain,
% 0.82/1.15 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 0.82/1.15 inference(copy,[status(esa)],[c_0]) ).
% 0.82/1.15
% 0.82/1.15
% 0.82/1.15
% 0.82/1.15 % ------ Statistics
% 0.82/1.15
% 0.82/1.15 % ------ General
% 0.82/1.15
% 0.82/1.15 % num_of_input_clauses: 1624
% 0.82/1.15 % num_of_input_neg_conjectures: 0
% 0.82/1.15 % num_of_splits: 0
% 0.82/1.15 % num_of_split_atoms: 0
% 0.82/1.15 % num_of_sem_filtered_clauses: 0
% 0.82/1.15 % num_of_subtypes: 0
% 0.82/1.15 % monotx_restored_types: 0
% 0.82/1.15 % sat_num_of_epr_types: 0
% 0.82/1.15 % sat_num_of_non_cyclic_types: 0
% 0.82/1.15 % sat_guarded_non_collapsed_types: 0
% 0.82/1.15 % is_epr: 0
% 0.82/1.15 % is_horn: 0
% 0.82/1.15 % has_eq: 1
% 0.82/1.15 % num_pure_diseq_elim: 0
% 0.82/1.15 % simp_replaced_by: 0
% 0.82/1.15 % res_preprocessed: 0
% 0.82/1.15 % prep_upred: 0
% 0.82/1.15 % prep_unflattend: 0
% 0.82/1.15 % pred_elim_cands: 0
% 0.82/1.15 % pred_elim: 0
% 0.82/1.15 % pred_elim_cl: 0
% 0.82/1.15 % pred_elim_cycles: 0
% 0.82/1.15 % forced_gc_time: 0
% 0.82/1.15 % gc_basic_clause_elim: 0
% 0.82/1.15 % parsing_time: 0.064
% 0.82/1.15 % sem_filter_time: 0.
% 0.82/1.15 % pred_elim_time: 0.
% 0.82/1.15 % out_proof_time: 0.
% 0.82/1.15 % monotx_time: 0.
% 0.82/1.15 % subtype_inf_time: 0.
% 0.82/1.15 % unif_index_cands_time: 0.
% 0.82/1.15 % unif_index_add_time: 0.
% 0.82/1.15 % total_time: 0.197
% 0.82/1.15 % num_of_symbols: 121
% 0.82/1.15 % num_of_terms: 4489
% 0.82/1.15
% 0.82/1.15 % ------ Propositional Solver
% 0.82/1.15
% 0.82/1.15 % prop_solver_calls: 1
% 0.82/1.15 % prop_fast_solver_calls: 0
% 0.82/1.15 % prop_num_of_clauses: 1694
% 0.82/1.15 % prop_preprocess_simplified: 4568
% 0.82/1.15 % prop_fo_subsumed: 0
% 0.82/1.15 % prop_solver_time: 0.
% 0.82/1.15 % prop_fast_solver_time: 0.
% 0.82/1.15 % prop_unsat_core_time: 0.
% 0.82/1.15
% 0.82/1.15 % ------ QBF
% 0.82/1.15
% 0.82/1.15 % qbf_q_res: 0
% 0.82/1.15 % qbf_num_tautologies: 0
% 0.82/1.15 % qbf_prep_cycles: 0
% 0.82/1.15
% 0.82/1.15 % ------ BMC1
% 0.82/1.15
% 0.82/1.15 % bmc1_current_bound: -1
% 0.82/1.15 % bmc1_last_solved_bound: -1
% 0.82/1.15 % bmc1_unsat_core_size: -1
% 0.82/1.15 % bmc1_unsat_core_parents_size: -1
% 0.82/1.15 % bmc1_merge_next_fun: 0
% 0.82/1.15 % bmc1_unsat_core_clauses_time: 0.
% 0.82/1.15
% 0.82/1.15 % ------ Instantiation
% 0.82/1.15
% 0.82/1.15 % inst_num_of_clauses: 1506
% 0.82/1.15 % inst_num_in_passive: 0
% 0.82/1.15 % inst_num_in_active: 0
% 0.82/1.15 % inst_num_in_unprocessed: 1624
% 0.82/1.15 % inst_num_of_loops: 0
% 0.82/1.15 % inst_num_of_learning_restarts: 0
% 0.82/1.15 % inst_num_moves_active_passive: 0
% 0.82/1.15 % inst_lit_activity: 0
% 0.82/1.15 % inst_lit_activity_moves: 0
% 0.82/1.15 % inst_num_tautologies: 0
% 0.82/1.15 % inst_num_prop_implied: 0
% 0.82/1.15 % inst_num_existing_simplified: 0
% 0.82/1.15 % inst_num_eq_res_simplified: 0
% 0.82/1.15 % inst_num_child_elim: 0
% 0.82/1.15 % inst_num_of_dismatching_blockings: 0
% 0.82/1.15 % inst_num_of_non_proper_insts: 0
% 0.82/1.15 % inst_num_of_duplicates: 0
% 0.82/1.15 % inst_inst_num_from_inst_to_res: 0
% 0.82/1.15 % inst_dismatching_checking_time: 0.
% 0.82/1.15
% 0.82/1.15 % ------ Resolution
% 0.82/1.15
% 0.82/1.15 % res_num_of_clauses: 1567
% 0.82/1.15 % res_num_in_passive: 0
% 0.82/1.15 % res_num_in_active: 684
% 0.82/1.15 % res_num_of_loops: 1
% 0.82/1.15 % res_forward_subset_subsumed: 940
% 0.82/1.15 % res_backward_subset_subsumed: 0
% 0.82/1.15 % res_forward_subsumed: 0
% 0.82/1.15 % res_backward_subsumed: 0
% 0.82/1.15 % res_forward_subsumption_resolution: 0
% 0.82/1.15 % res_backward_subsumption_resolution: 0
% 0.82/1.15 % res_clause_to_clause_subsumption: 0
% 0.82/1.15 % res_orphan_elimination: 0
% 0.82/1.15 % res_tautology_del: 0
% 0.82/1.15 % res_num_eq_res_simplified: 0
% 0.82/1.15 % res_num_sel_changes: 0
% 0.82/1.15 % res_moves_from_active_to_pass: 0
% 0.82/1.15
% 0.82/1.15 % Status Unknown
% 0.82/1.15 % Last status :
% 0.82/1.15 % SZS status Unknown
%------------------------------------------------------------------------------