TSTP Solution File: SWV629-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 19:20:59 EDT 2022
% Result : Unknown 151.70s 152.00s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 19:32:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.19/0.45 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.45 % Orientation found
% 0.19/0.45 % 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_964a9a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_968a48.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_55d016 | grep -v "SZS"
% 0.19/0.47
% 0.19/0.47 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.47
% 0.19/0.47 %
% 0.19/0.47 % ------ iProver source info
% 0.19/0.47
% 0.19/0.47 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.47 % git: non_committed_changes: true
% 0.19/0.47 % git: last_make_outside_of_git: true
% 0.19/0.47
% 0.19/0.47 %
% 0.19/0.47 % ------ Input Options
% 0.19/0.47
% 0.19/0.47 % --out_options all
% 0.19/0.47 % --tptp_safe_out true
% 0.19/0.47 % --problem_path ""
% 0.19/0.47 % --include_path ""
% 0.19/0.47 % --clausifier .//eprover
% 0.19/0.47 % --clausifier_options --tstp-format
% 0.19/0.47 % --stdin false
% 0.19/0.47 % --dbg_backtrace false
% 0.19/0.47 % --dbg_dump_prop_clauses false
% 0.19/0.47 % --dbg_dump_prop_clauses_file -
% 0.19/0.47 % --dbg_out_stat false
% 0.19/0.47
% 0.19/0.47 % ------ General Options
% 0.19/0.47
% 0.19/0.47 % --fof false
% 0.19/0.47 % --time_out_real 150.
% 0.19/0.47 % --time_out_prep_mult 0.2
% 0.19/0.47 % --time_out_virtual -1.
% 0.19/0.47 % --schedule none
% 0.19/0.47 % --ground_splitting input
% 0.19/0.47 % --splitting_nvd 16
% 0.19/0.47 % --non_eq_to_eq false
% 0.19/0.47 % --prep_gs_sim true
% 0.19/0.47 % --prep_unflatten false
% 0.19/0.47 % --prep_res_sim true
% 0.19/0.47 % --prep_upred true
% 0.19/0.47 % --res_sim_input true
% 0.19/0.47 % --clause_weak_htbl true
% 0.19/0.47 % --gc_record_bc_elim false
% 0.19/0.47 % --symbol_type_check false
% 0.19/0.47 % --clausify_out false
% 0.19/0.47 % --large_theory_mode false
% 0.19/0.47 % --prep_sem_filter none
% 0.19/0.47 % --prep_sem_filter_out false
% 0.19/0.47 % --preprocessed_out false
% 0.19/0.47 % --sub_typing false
% 0.19/0.47 % --brand_transform false
% 0.19/0.47 % --pure_diseq_elim true
% 0.19/0.47 % --min_unsat_core false
% 0.19/0.47 % --pred_elim true
% 0.19/0.47 % --add_important_lit false
% 0.19/0.47 % --soft_assumptions false
% 0.19/0.47 % --reset_solvers false
% 0.19/0.47 % --bc_imp_inh []
% 0.19/0.47 % --conj_cone_tolerance 1.5
% 0.19/0.47 % --prolific_symb_bound 500
% 0.19/0.47 % --lt_threshold 2000
% 0.19/0.47
% 0.19/0.47 % ------ SAT Options
% 0.19/0.47
% 0.19/0.47 % --sat_mode false
% 0.19/0.47 % --sat_fm_restart_options ""
% 0.19/0.47 % --sat_gr_def false
% 0.19/0.47 % --sat_epr_types true
% 0.19/0.47 % --sat_non_cyclic_types false
% 0.19/0.47 % --sat_finite_models false
% 0.19/0.47 % --sat_fm_lemmas false
% 0.19/0.47 % --sat_fm_prep false
% 0.19/0.47 % --sat_fm_uc_incr true
% 0.19/0.47 % --sat_out_model small
% 0.19/0.47 % --sat_out_clauses false
% 0.19/0.47
% 0.19/0.47 % ------ QBF Options
% 0.19/0.47
% 0.19/0.47 % --qbf_mode false
% 0.19/0.47 % --qbf_elim_univ true
% 0.19/0.47 % --qbf_sk_in true
% 0.19/0.47 % --qbf_pred_elim true
% 0.19/0.47 % --qbf_split 32
% 0.19/0.47
% 0.19/0.47 % ------ BMC1 Options
% 0.19/0.47
% 0.19/0.47 % --bmc1_incremental false
% 0.19/0.47 % --bmc1_axioms reachable_all
% 0.19/0.47 % --bmc1_min_bound 0
% 0.19/0.47 % --bmc1_max_bound -1
% 0.19/0.47 % --bmc1_max_bound_default -1
% 0.19/0.47 % --bmc1_symbol_reachability true
% 0.19/0.47 % --bmc1_property_lemmas false
% 0.19/0.47 % --bmc1_k_induction false
% 0.19/0.47 % --bmc1_non_equiv_states false
% 0.19/0.47 % --bmc1_deadlock false
% 0.19/0.47 % --bmc1_ucm false
% 0.19/0.47 % --bmc1_add_unsat_core none
% 0.19/0.47 % --bmc1_unsat_core_children false
% 0.19/0.47 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.47 % --bmc1_out_stat full
% 0.19/0.47 % --bmc1_ground_init false
% 0.19/0.47 % --bmc1_pre_inst_next_state false
% 0.19/0.47 % --bmc1_pre_inst_state false
% 0.19/0.47 % --bmc1_pre_inst_reach_state false
% 0.19/0.47 % --bmc1_out_unsat_core false
% 0.19/0.47 % --bmc1_aig_witness_out false
% 0.19/0.47 % --bmc1_verbose false
% 0.19/0.47 % --bmc1_dump_clauses_tptp false
% 2.40/2.81 % --bmc1_dump_unsat_core_tptp false
% 2.40/2.81 % --bmc1_dump_file -
% 2.40/2.81 % --bmc1_ucm_expand_uc_limit 128
% 2.40/2.81 % --bmc1_ucm_n_expand_iterations 6
% 2.40/2.81 % --bmc1_ucm_extend_mode 1
% 2.40/2.81 % --bmc1_ucm_init_mode 2
% 2.40/2.81 % --bmc1_ucm_cone_mode none
% 2.40/2.81 % --bmc1_ucm_reduced_relation_type 0
% 2.40/2.81 % --bmc1_ucm_relax_model 4
% 2.40/2.81 % --bmc1_ucm_full_tr_after_sat true
% 2.40/2.81 % --bmc1_ucm_expand_neg_assumptions false
% 2.40/2.81 % --bmc1_ucm_layered_model none
% 2.40/2.81 % --bmc1_ucm_max_lemma_size 10
% 2.40/2.81
% 2.40/2.81 % ------ AIG Options
% 2.40/2.81
% 2.40/2.81 % --aig_mode false
% 2.40/2.81
% 2.40/2.81 % ------ Instantiation Options
% 2.40/2.81
% 2.40/2.81 % --instantiation_flag true
% 2.40/2.81 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 2.40/2.81 % --inst_solver_per_active 750
% 2.40/2.81 % --inst_solver_calls_frac 0.5
% 2.40/2.81 % --inst_passive_queue_type priority_queues
% 2.40/2.81 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.40/2.81 % --inst_passive_queues_freq [25;2]
% 2.40/2.81 % --inst_dismatching true
% 2.40/2.81 % --inst_eager_unprocessed_to_passive true
% 2.40/2.81 % --inst_prop_sim_given true
% 2.40/2.81 % --inst_prop_sim_new false
% 2.40/2.81 % --inst_orphan_elimination true
% 2.40/2.81 % --inst_learning_loop_flag true
% 2.40/2.81 % --inst_learning_start 3000
% 2.40/2.81 % --inst_learning_factor 2
% 2.40/2.81 % --inst_start_prop_sim_after_learn 3
% 2.40/2.81 % --inst_sel_renew solver
% 2.40/2.81 % --inst_lit_activity_flag true
% 2.40/2.81 % --inst_out_proof true
% 2.40/2.81
% 2.40/2.81 % ------ Resolution Options
% 2.40/2.81
% 2.40/2.81 % --resolution_flag true
% 2.40/2.81 % --res_lit_sel kbo_max
% 2.40/2.81 % --res_to_prop_solver none
% 2.40/2.81 % --res_prop_simpl_new false
% 2.40/2.81 % --res_prop_simpl_given false
% 2.40/2.81 % --res_passive_queue_type priority_queues
% 2.40/2.81 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.40/2.81 % --res_passive_queues_freq [15;5]
% 2.40/2.81 % --res_forward_subs full
% 2.40/2.81 % --res_backward_subs full
% 2.40/2.81 % --res_forward_subs_resolution true
% 2.40/2.81 % --res_backward_subs_resolution true
% 2.40/2.81 % --res_orphan_elimination false
% 2.40/2.81 % --res_time_limit 1000.
% 2.40/2.81 % --res_out_proof true
% 2.40/2.81 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_964a9a.s
% 2.40/2.81 % --modulo true
% 2.40/2.81
% 2.40/2.81 % ------ Combination Options
% 2.40/2.81
% 2.40/2.81 % --comb_res_mult 1000
% 2.40/2.81 % --comb_inst_mult 300
% 2.40/2.81 % ------
% 2.40/2.81
% 2.40/2.81 % ------ Parsing...% successful
% 2.40/2.81
% 2.40/2.81 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 2.40/2.81
% 2.40/2.81 % ------ Proving...
% 2.40/2.81 % ------ Problem Properties
% 2.40/2.81
% 2.40/2.81 %
% 2.40/2.81 % EPR false
% 2.40/2.81 % Horn false
% 2.40/2.81 % Has equality true
% 2.40/2.81
% 2.40/2.81 % % ------ Input Options Time Limit: Unbounded
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81 Compiling...
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% 2.40/2.81 Compiling...
% 2.40/2.81 Loading plugin: done.
% 2.40/2.81 % % ------ Current options:
% 2.40/2.81
% 2.40/2.81 % ------ Input Options
% 2.40/2.81
% 2.40/2.81 % --out_options all
% 2.40/2.81 % --tptp_safe_out true
% 2.40/2.81 % --problem_path ""
% 2.40/2.81 % --include_path ""
% 2.40/2.81 % --clausifier .//eprover
% 2.40/2.81 % --clausifier_options --tstp-format
% 2.40/2.81 % --stdin false
% 2.40/2.81 % --dbg_backtrace false
% 2.40/2.81 % --dbg_dump_prop_clauses false
% 2.40/2.81 % --dbg_dump_prop_clauses_file -
% 2.40/2.81 % --dbg_out_stat false
% 2.40/2.81
% 2.40/2.81 % ------ General Options
% 2.40/2.81
% 2.40/2.81 % --fof false
% 2.40/2.81 % --time_out_real 150.
% 2.40/2.81 % --time_out_prep_mult 0.2
% 2.40/2.81 % --time_out_virtual -1.
% 2.40/2.81 % --schedule none
% 2.40/2.81 % --ground_splitting input
% 2.40/2.81 % --splitting_nvd 16
% 2.40/2.81 % --non_eq_to_eq false
% 2.40/2.81 % --prep_gs_sim true
% 2.40/2.81 % --prep_unflatten false
% 2.40/2.81 % --prep_res_sim true
% 2.40/2.81 % --prep_upred true
% 2.40/2.81 % --res_sim_input true
% 2.40/2.81 % --clause_weak_htbl true
% 2.40/2.81 % --gc_record_bc_elim false
% 2.40/2.81 % --symbol_type_check false
% 2.40/2.81 % --clausify_out false
% 2.40/2.81 % --large_theory_mode false
% 2.40/2.81 % --prep_sem_filter none
% 2.40/2.81 % --prep_sem_filter_out false
% 2.40/2.81 % --preprocessed_out false
% 2.40/2.81 % --sub_typing false
% 2.40/2.81 % --brand_transform false
% 2.40/2.81 % --pure_diseq_elim true
% 2.40/2.81 % --min_unsat_core false
% 2.40/2.81 % --pred_elim true
% 2.40/2.81 % --add_important_lit false
% 2.40/2.81 % --soft_assumptions false
% 2.40/2.81 % --reset_solvers false
% 2.40/2.81 % --bc_imp_inh []
% 2.40/2.81 % --conj_cone_tolerance 1.5
% 2.40/2.81 % --prolific_symb_bound 500
% 2.40/2.81 % --lt_threshold 2000
% 2.40/2.81
% 2.40/2.81 % ------ SAT Options
% 2.40/2.81
% 2.40/2.81 % --sat_mode false
% 2.40/2.81 % --sat_fm_restart_options ""
% 2.40/2.81 % --sat_gr_def false
% 2.40/2.81 % --sat_epr_types true
% 2.40/2.81 % --sat_non_cyclic_types false
% 2.40/2.81 % --sat_finite_models false
% 2.40/2.81 % --sat_fm_lemmas false
% 2.40/2.81 % --sat_fm_prep false
% 2.40/2.81 % --sat_fm_uc_incr true
% 2.40/2.81 % --sat_out_model small
% 2.40/2.81 % --sat_out_clauses false
% 2.40/2.81
% 2.40/2.81 % ------ QBF Options
% 2.40/2.81
% 2.40/2.81 % --qbf_mode false
% 2.40/2.81 % --qbf_elim_univ true
% 2.40/2.81 % --qbf_sk_in true
% 2.40/2.81 % --qbf_pred_elim true
% 2.40/2.81 % --qbf_split 32
% 2.40/2.81
% 2.40/2.81 % ------ BMC1 Options
% 2.40/2.81
% 2.40/2.81 % --bmc1_incremental false
% 2.40/2.81 % --bmc1_axioms reachable_all
% 2.40/2.81 % --bmc1_min_bound 0
% 2.40/2.81 % --bmc1_max_bound -1
% 2.40/2.81 % --bmc1_max_bound_default -1
% 2.40/2.81 % --bmc1_symbol_reachability true
% 2.40/2.81 % --bmc1_property_lemmas false
% 2.40/2.81 % --bmc1_k_induction false
% 2.40/2.81 % --bmc1_non_equiv_states false
% 2.40/2.81 % --bmc1_deadlock false
% 2.40/2.81 % --bmc1_ucm false
% 2.40/2.81 % --bmc1_add_unsat_core none
% 2.40/2.81 % --bmc1_unsat_core_children false
% 2.40/2.81 % --bmc1_unsat_core_extrapolate_axioms false
% 2.40/2.81 % --bmc1_out_stat full
% 2.40/2.81 % --bmc1_ground_init false
% 2.40/2.81 % --bmc1_pre_inst_next_state false
% 2.40/2.81 % --bmc1_pre_inst_state false
% 2.40/2.81 % --bmc1_pre_inst_reach_state false
% 2.40/2.81 % --bmc1_out_unsat_core false
% 2.40/2.81 % --bmc1_aig_witness_out false
% 2.40/2.81 % --bmc1_verbose false
% 2.40/2.81 % --bmc1_dump_clauses_tptp false
% 2.40/2.81 % --bmc1_dump_unsat_core_tptp false
% 2.40/2.81 % --bmc1_dump_file -
% 2.40/2.81 % --bmc1_ucm_expand_uc_limit 128
% 2.40/2.81 % --bmc1_ucm_n_expand_iterations 6
% 2.40/2.81 % --bmc1_ucm_extend_mode 1
% 2.40/2.81 % --bmc1_ucm_init_mode 2
% 2.40/2.81 % --bmc1_ucm_cone_mode none
% 2.40/2.81 % --bmc1_ucm_reduced_relation_type 0
% 2.40/2.81 % --bmc1_ucm_relax_model 4
% 2.40/2.81 % --bmc1_ucm_full_tr_after_sat true
% 2.40/2.81 % --bmc1_ucm_expand_neg_assumptions false
% 2.40/2.81 % --bmc1_ucm_layered_model none
% 2.40/2.81 % --bmc1_ucm_max_lemma_size 10
% 2.40/2.81
% 2.40/2.81 % ------ AIG Options
% 2.40/2.81
% 2.40/2.81 % --aig_mode false
% 150.14/150.47
% 150.14/150.47 % ------ Instantiation Options
% 150.14/150.47
% 150.14/150.47 % --instantiation_flag true
% 150.14/150.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.14/150.47 % --inst_solver_per_active 750
% 150.14/150.47 % --inst_solver_calls_frac 0.5
% 150.14/150.47 % --inst_passive_queue_type priority_queues
% 150.14/150.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.14/150.47 % --inst_passive_queues_freq [25;2]
% 150.14/150.47 % --inst_dismatching true
% 150.14/150.47 % --inst_eager_unprocessed_to_passive true
% 150.14/150.47 % --inst_prop_sim_given true
% 150.14/150.47 % --inst_prop_sim_new false
% 150.14/150.47 % --inst_orphan_elimination true
% 150.14/150.47 % --inst_learning_loop_flag true
% 150.14/150.47 % --inst_learning_start 3000
% 150.14/150.47 % --inst_learning_factor 2
% 150.14/150.47 % --inst_start_prop_sim_after_learn 3
% 150.14/150.47 % --inst_sel_renew solver
% 150.14/150.47 % --inst_lit_activity_flag true
% 150.14/150.47 % --inst_out_proof true
% 150.14/150.47
% 150.14/150.47 % ------ Resolution Options
% 150.14/150.47
% 150.14/150.47 % --resolution_flag true
% 150.14/150.47 % --res_lit_sel kbo_max
% 150.14/150.47 % --res_to_prop_solver none
% 150.14/150.47 % --res_prop_simpl_new false
% 150.14/150.47 % --res_prop_simpl_given false
% 150.14/150.47 % --res_passive_queue_type priority_queues
% 150.14/150.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.14/150.47 % --res_passive_queues_freq [15;5]
% 150.14/150.47 % --res_forward_subs full
% 150.14/150.47 % --res_backward_subs full
% 150.14/150.47 % --res_forward_subs_resolution true
% 150.14/150.47 % --res_backward_subs_resolution true
% 150.14/150.47 % --res_orphan_elimination false
% 150.14/150.47 % --res_time_limit 1000.
% 150.14/150.47 % --res_out_proof true
% 150.14/150.47 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_964a9a.s
% 150.14/150.47 % --modulo true
% 150.14/150.47
% 150.14/150.47 % ------ Combination Options
% 150.14/150.47
% 150.14/150.47 % --comb_res_mult 1000
% 150.14/150.47 % --comb_inst_mult 300
% 150.14/150.47 % ------
% 150.14/150.47
% 150.14/150.47
% 150.14/150.47
% 150.14/150.47 % ------ Proving...
% 150.14/150.47 %
% 150.14/150.47
% 150.14/150.47
% 150.14/150.47 % Time Out Real
% 150.14/150.47
% 150.14/150.47 % ------ Statistics
% 150.14/150.47
% 150.14/150.47 % ------ General
% 150.14/150.47
% 150.14/150.47 % num_of_input_clauses: 858
% 150.14/150.47 % num_of_input_neg_conjectures: 1
% 150.14/150.47 % num_of_splits: 0
% 150.14/150.47 % num_of_split_atoms: 0
% 150.14/150.47 % num_of_sem_filtered_clauses: 0
% 150.14/150.47 % num_of_subtypes: 0
% 150.14/150.47 % monotx_restored_types: 0
% 150.14/150.47 % sat_num_of_epr_types: 0
% 150.14/150.47 % sat_num_of_non_cyclic_types: 0
% 150.14/150.47 % sat_guarded_non_collapsed_types: 0
% 150.14/150.47 % is_epr: 0
% 150.14/150.47 % is_horn: 0
% 150.14/150.47 % has_eq: 1
% 150.14/150.47 % num_pure_diseq_elim: 0
% 150.14/150.47 % simp_replaced_by: 17
% 150.14/150.47 % res_preprocessed: 2
% 150.14/150.47 % prep_upred: 0
% 150.14/150.47 % prep_unflattend: 0
% 150.14/150.47 % pred_elim_cands: 0
% 150.14/150.47 % pred_elim: 0
% 150.14/150.47 % pred_elim_cl: 0
% 150.14/150.47 % pred_elim_cycles: 0
% 150.14/150.47 % forced_gc_time: 0
% 150.14/150.47 % gc_basic_clause_elim: 0
% 150.14/150.47 % parsing_time: 0.04
% 150.14/150.47 % sem_filter_time: 0.
% 150.14/150.47 % pred_elim_time: 0.
% 150.14/150.47 % out_proof_time: 0.
% 150.14/150.47 % monotx_time: 0.
% 150.14/150.47 % subtype_inf_time: 0.
% 150.14/150.47 % unif_index_cands_time: 0.88
% 150.14/150.47 % unif_index_add_time: 0.29
% 150.14/150.47 % total_time: 150.017
% 150.14/150.47 % num_of_symbols: 76
% 150.14/150.47 % num_of_terms: 2125237
% 150.14/150.47
% 150.14/150.47 % ------ Propositional Solver
% 150.14/150.47
% 150.14/150.47 % prop_solver_calls: 46
% 150.14/150.47 % prop_fast_solver_calls: 3
% 150.14/150.47 % prop_num_of_clauses: 81837
% 150.14/150.47 % prop_preprocess_simplified: 173242
% 150.14/150.47 % prop_fo_subsumed: 0
% 150.14/150.47 % prop_solver_time: 0.087
% 150.14/150.47 % prop_fast_solver_time: 0.
% 150.14/150.47 % prop_unsat_core_time: 0.
% 150.14/150.47
% 150.14/150.47 % ------ QBF
% 150.14/150.47
% 150.14/150.47 % qbf_q_res: 0
% 150.14/150.49 % qbf_num_tautologies: 0
% 150.14/150.49 % qbf_prep_cycles: 0
% 150.14/150.49
% 150.14/150.49 % ------ BMC1
% 150.14/150.49
% 150.14/150.49 % bmc1_current_bound: -1
% 150.14/150.49 % bmc1_last_solved_bound: -1
% 150.14/150.49 % bmc1_unsat_core_size: -1
% 150.14/150.49 % bmc1_unsat_core_parents_size: -1
% 150.14/150.49 % bmc1_merge_next_fun: 0
% 150.14/150.49 % bmc1_unsat_core_clauses_time: 0.
% 150.14/150.49
% 150.14/150.49 % ------ Instantiation
% 150.14/150.49
% 150.14/150.49 % inst_num_of_clauses: 32512
% 150.14/150.49 % inst_num_in_passive: 24479
% 150.14/150.49 % inst_num_in_active: 6997
% 150.14/150.49 % inst_num_in_unprocessed: 844
% 150.14/150.49 % inst_num_of_loops: 8398
% 150.14/150.49 % inst_num_of_learning_restarts: 2
% 150.14/150.49 % inst_num_moves_active_passive: 1207
% 150.14/150.49 % inst_lit_activity: 10736
% 150.14/150.49 % inst_lit_activity_moves: 4
% 150.14/150.49 % inst_num_tautologies: 192
% 150.14/150.49 % inst_num_prop_implied: 0
% 150.14/150.49 % inst_num_existing_simplified: 0
% 150.14/150.49 % inst_num_eq_res_simplified: 0
% 150.14/150.49 % inst_num_child_elim: 0
% 150.14/150.49 % inst_num_of_dismatching_blockings: 149465
% 150.14/150.49 % inst_num_of_non_proper_insts: 98746
% 150.14/150.49 % inst_num_of_duplicates: 60910
% 150.14/150.49 % inst_inst_num_from_inst_to_res: 0
% 150.14/150.49 % inst_dismatching_checking_time: 3.341
% 150.14/150.49
% 150.14/150.49 % ------ Resolution
% 150.14/150.49
% 150.14/150.49 % res_num_of_clauses: 836615
% 150.14/150.49 % res_num_in_passive: 797469
% 150.14/150.49 % res_num_in_active: 42511
% 150.14/150.49 % res_num_of_loops: 58539
% 150.14/150.49 % res_forward_subset_subsumed: 127683
% 150.14/150.49 % res_backward_subset_subsumed: 4308
% 150.14/150.49 % res_forward_subsumed: 15978
% 150.14/150.49 % res_backward_subsumed: 248
% 150.14/150.49 % res_forward_subsumption_resolution: 6482
% 150.14/150.49 % res_backward_subsumption_resolution: 0
% 150.14/150.49 % res_clause_to_clause_subsumption: 1104410
% 150.14/150.49 % res_orphan_elimination: 0
% 150.14/150.49 % res_tautology_del: 1717
% 150.14/150.49 % res_num_eq_res_simplified: 0
% 150.14/150.49 % res_num_sel_changes: 0
% 150.14/150.49 % res_moves_from_active_to_pass: 0
% 150.14/150.49
% 150.14/150.49 % Status Unknown
% 150.26/150.58 % Orienting using strategy ClausalAll
% 150.26/150.58 % Orientation found
% 150.26/150.58 % 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_964a9a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_968a48.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_93f39c | grep -v "SZS"
% 150.36/150.60
% 150.36/150.60 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.36/150.60
% 150.36/150.60 %
% 150.36/150.60 % ------ iProver source info
% 150.36/150.60
% 150.36/150.60 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.36/150.60 % git: non_committed_changes: true
% 150.36/150.60 % git: last_make_outside_of_git: true
% 150.36/150.60
% 150.36/150.60 %
% 150.36/150.60 % ------ Input Options
% 150.36/150.60
% 150.36/150.60 % --out_options all
% 150.36/150.60 % --tptp_safe_out true
% 150.36/150.60 % --problem_path ""
% 150.36/150.60 % --include_path ""
% 150.36/150.60 % --clausifier .//eprover
% 150.36/150.60 % --clausifier_options --tstp-format
% 150.36/150.60 % --stdin false
% 150.36/150.60 % --dbg_backtrace false
% 150.36/150.60 % --dbg_dump_prop_clauses false
% 150.36/150.60 % --dbg_dump_prop_clauses_file -
% 150.36/150.60 % --dbg_out_stat false
% 150.36/150.60
% 150.36/150.60 % ------ General Options
% 150.36/150.60
% 150.36/150.60 % --fof false
% 150.36/150.60 % --time_out_real 150.
% 150.36/150.60 % --time_out_prep_mult 0.2
% 150.36/150.60 % --time_out_virtual -1.
% 150.36/150.60 % --schedule none
% 150.36/150.60 % --ground_splitting input
% 150.36/150.60 % --splitting_nvd 16
% 150.36/150.60 % --non_eq_to_eq false
% 150.36/150.60 % --prep_gs_sim true
% 150.36/150.60 % --prep_unflatten false
% 150.36/150.60 % --prep_res_sim true
% 150.36/150.60 % --prep_upred true
% 150.36/150.60 % --res_sim_input true
% 150.36/150.60 % --clause_weak_htbl true
% 150.36/150.60 % --gc_record_bc_elim false
% 150.36/150.60 % --symbol_type_check false
% 150.36/150.60 % --clausify_out false
% 150.36/150.60 % --large_theory_mode false
% 150.36/150.60 % --prep_sem_filter none
% 150.36/150.60 % --prep_sem_filter_out false
% 150.36/150.60 % --preprocessed_out false
% 150.36/150.60 % --sub_typing false
% 150.36/150.60 % --brand_transform false
% 150.36/150.60 % --pure_diseq_elim true
% 150.36/150.60 % --min_unsat_core false
% 150.36/150.60 % --pred_elim true
% 150.36/150.60 % --add_important_lit false
% 150.36/150.60 % --soft_assumptions false
% 150.36/150.60 % --reset_solvers false
% 150.36/150.60 % --bc_imp_inh []
% 150.36/150.60 % --conj_cone_tolerance 1.5
% 150.36/150.60 % --prolific_symb_bound 500
% 150.36/150.60 % --lt_threshold 2000
% 150.36/150.60
% 150.36/150.60 % ------ SAT Options
% 150.36/150.60
% 150.36/150.60 % --sat_mode false
% 150.36/150.60 % --sat_fm_restart_options ""
% 150.36/150.60 % --sat_gr_def false
% 150.36/150.60 % --sat_epr_types true
% 150.36/150.60 % --sat_non_cyclic_types false
% 150.36/150.60 % --sat_finite_models false
% 150.36/150.60 % --sat_fm_lemmas false
% 150.36/150.60 % --sat_fm_prep false
% 150.36/150.60 % --sat_fm_uc_incr true
% 150.36/150.60 % --sat_out_model small
% 150.36/150.60 % --sat_out_clauses false
% 150.36/150.60
% 150.36/150.60 % ------ QBF Options
% 150.36/150.60
% 150.36/150.60 % --qbf_mode false
% 150.36/150.60 % --qbf_elim_univ true
% 150.36/150.60 % --qbf_sk_in true
% 150.36/150.60 % --qbf_pred_elim true
% 150.36/150.60 % --qbf_split 32
% 150.36/150.60
% 150.36/150.60 % ------ BMC1 Options
% 150.36/150.60
% 150.36/150.60 % --bmc1_incremental false
% 150.36/150.60 % --bmc1_axioms reachable_all
% 150.36/150.60 % --bmc1_min_bound 0
% 150.36/150.60 % --bmc1_max_bound -1
% 150.36/150.60 % --bmc1_max_bound_default -1
% 150.36/150.60 % --bmc1_symbol_reachability true
% 150.36/150.60 % --bmc1_property_lemmas false
% 150.36/150.60 % --bmc1_k_induction false
% 150.36/150.60 % --bmc1_non_equiv_states false
% 150.36/150.60 % --bmc1_deadlock false
% 150.36/150.60 % --bmc1_ucm false
% 150.36/150.60 % --bmc1_add_unsat_core none
% 150.36/150.60 % --bmc1_unsat_core_children false
% 150.36/150.60 % --bmc1_unsat_core_extrapolate_axioms false
% 150.36/150.60 % --bmc1_out_stat full
% 150.36/150.60 % --bmc1_ground_init false
% 150.36/150.60 % --bmc1_pre_inst_next_state false
% 150.36/150.60 % --bmc1_pre_inst_state false
% 150.36/150.60 % --bmc1_pre_inst_reach_state false
% 150.36/150.60 % --bmc1_out_unsat_core false
% 150.36/150.60 % --bmc1_aig_witness_out false
% 150.36/150.60 % --bmc1_verbose false
% 150.36/150.60 % --bmc1_dump_clauses_tptp false
% 151.51/151.96 % --bmc1_dump_unsat_core_tptp false
% 151.51/151.96 % --bmc1_dump_file -
% 151.51/151.96 % --bmc1_ucm_expand_uc_limit 128
% 151.51/151.96 % --bmc1_ucm_n_expand_iterations 6
% 151.51/151.96 % --bmc1_ucm_extend_mode 1
% 151.51/151.96 % --bmc1_ucm_init_mode 2
% 151.51/151.96 % --bmc1_ucm_cone_mode none
% 151.51/151.96 % --bmc1_ucm_reduced_relation_type 0
% 151.51/151.96 % --bmc1_ucm_relax_model 4
% 151.51/151.96 % --bmc1_ucm_full_tr_after_sat true
% 151.51/151.96 % --bmc1_ucm_expand_neg_assumptions false
% 151.51/151.96 % --bmc1_ucm_layered_model none
% 151.51/151.96 % --bmc1_ucm_max_lemma_size 10
% 151.51/151.96
% 151.51/151.96 % ------ AIG Options
% 151.51/151.96
% 151.51/151.96 % --aig_mode false
% 151.51/151.96
% 151.51/151.96 % ------ Instantiation Options
% 151.51/151.96
% 151.51/151.96 % --instantiation_flag true
% 151.51/151.96 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 151.51/151.96 % --inst_solver_per_active 750
% 151.51/151.96 % --inst_solver_calls_frac 0.5
% 151.51/151.96 % --inst_passive_queue_type priority_queues
% 151.51/151.96 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 151.51/151.96 % --inst_passive_queues_freq [25;2]
% 151.51/151.96 % --inst_dismatching true
% 151.51/151.96 % --inst_eager_unprocessed_to_passive true
% 151.51/151.96 % --inst_prop_sim_given true
% 151.51/151.96 % --inst_prop_sim_new false
% 151.51/151.96 % --inst_orphan_elimination true
% 151.51/151.96 % --inst_learning_loop_flag true
% 151.51/151.96 % --inst_learning_start 3000
% 151.51/151.96 % --inst_learning_factor 2
% 151.51/151.96 % --inst_start_prop_sim_after_learn 3
% 151.51/151.96 % --inst_sel_renew solver
% 151.51/151.96 % --inst_lit_activity_flag true
% 151.51/151.96 % --inst_out_proof true
% 151.51/151.96
% 151.51/151.96 % ------ Resolution Options
% 151.51/151.96
% 151.51/151.96 % --resolution_flag true
% 151.51/151.96 % --res_lit_sel kbo_max
% 151.51/151.96 % --res_to_prop_solver none
% 151.51/151.96 % --res_prop_simpl_new false
% 151.51/151.96 % --res_prop_simpl_given false
% 151.51/151.96 % --res_passive_queue_type priority_queues
% 151.51/151.96 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 151.51/151.96 % --res_passive_queues_freq [15;5]
% 151.51/151.96 % --res_forward_subs full
% 151.51/151.96 % --res_backward_subs full
% 151.51/151.96 % --res_forward_subs_resolution true
% 151.51/151.96 % --res_backward_subs_resolution true
% 151.51/151.96 % --res_orphan_elimination false
% 151.51/151.96 % --res_time_limit 1000.
% 151.51/151.96 % --res_out_proof true
% 151.51/151.96 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_964a9a.s
% 151.51/151.96 % --modulo true
% 151.51/151.96
% 151.51/151.96 % ------ Combination Options
% 151.51/151.96
% 151.51/151.96 % --comb_res_mult 1000
% 151.51/151.96 % --comb_inst_mult 300
% 151.51/151.96 % ------
% 151.51/151.96
% 151.51/151.96 % ------ Parsing...% successful
% 151.51/151.96
% 151.51/151.96 % ------ 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 %
% 151.51/151.96
% 151.51/151.96 % ------ Proving...
% 151.51/151.96 % ------ Problem Properties
% 151.51/151.96
% 151.51/151.96 %
% 151.51/151.96 % EPR false
% 151.51/151.96 % Horn false
% 151.51/151.96 % Has equality true
% 151.51/151.96
% 151.51/151.96 % % ------ Input Options Time Limit: Unbounded
% 151.51/151.96
% 151.51/151.96
% 151.51/151.96 Compiling...
% 151.51/151.96 Loading plugin: done.
% 151.51/151.96 Compiling...
% 151.51/151.96 Loading plugin: done.
% 151.51/151.96 Compiling...
% 151.51/151.96 Loading plugin: done.
% 151.51/151.96 Compiling...
% 151.51/151.96 Loading plugin: done.
% 151.51/151.96 Compiling...
% 151.51/151.96 Loading plugin: done.
% 151.51/151.96 Compiling...
% 151.51/151.96 Loading plugin: done.
% 151.51/151.96 Compiling...
% 151.51/151.96 Loading plugin: done.
% 151.51/151.96 Compiling...
% 151.51/151.96 Loading plugin: done.
% 151.51/151.96 Compiling...
% 151.51/151.96 Loading plugin: done.
% 151.51/151.96 % % ------ Current options:
% 151.51/151.96
% 151.51/151.96 % ------ Input Options
% 151.51/151.96
% 151.51/151.96 % --out_options all
% 151.51/151.96 % --tptp_safe_out true
% 151.51/151.96 % --problem_path ""
% 151.51/151.96 % --include_path ""
% 151.51/151.96 % --clausifier .//eprover
% 151.51/151.96 % --clausifier_options --tstp-format
% 151.51/151.96 % --stdin false
% 151.51/151.96 % --dbg_backtrace false
% 151.51/151.96 % --dbg_dump_prop_clauses false
% 151.51/151.96 % --dbg_dump_prop_clauses_file -
% 151.51/151.96 % --dbg_out_stat false
% 151.51/151.96
% 151.51/151.96 % ------ General Options
% 151.51/151.96
% 151.51/151.96 % --fof false
% 151.51/151.96 % --time_out_real 150.
% 151.51/151.96 % --time_out_prep_mult 0.2
% 151.51/151.96 % --time_out_virtual -1.
% 151.51/151.96 % --schedule none
% 151.51/151.96 % --ground_splitting input
% 151.51/151.96 % --splitting_nvd 16
% 151.51/151.96 % --non_eq_to_eq false
% 151.51/151.96 % --prep_gs_sim true
% 151.51/151.96 % --prep_unflatten false
% 151.51/151.96 % --prep_res_sim true
% 151.51/151.96 % --prep_upred true
% 151.51/151.96 % --res_sim_input true
% 151.51/151.96 % --clause_weak_htbl true
% 151.51/151.96 % --gc_record_bc_elim false
% 151.51/151.96 % --symbol_type_check false
% 151.51/151.96 % --clausify_out false
% 151.51/151.96 % --large_theory_mode false
% 151.51/151.96 % --prep_sem_filter none
% 151.51/151.96 % --prep_sem_filter_out false
% 151.51/151.96 % --preprocessed_out false
% 151.51/151.96 % --sub_typing false
% 151.51/151.96 % --brand_transform false
% 151.51/151.96 % --pure_diseq_elim true
% 151.51/151.96 % --min_unsat_core false
% 151.51/151.96 % --pred_elim true
% 151.51/151.96 % --add_important_lit false
% 151.51/151.96 % --soft_assumptions false
% 151.51/151.96 % --reset_solvers false
% 151.51/151.96 % --bc_imp_inh []
% 151.51/151.96 % --conj_cone_tolerance 1.5
% 151.51/151.96 % --prolific_symb_bound 500
% 151.51/151.96 % --lt_threshold 2000
% 151.51/151.96
% 151.51/151.96 % ------ SAT Options
% 151.51/151.96
% 151.51/151.96 % --sat_mode false
% 151.51/151.96 % --sat_fm_restart_options ""
% 151.51/151.96 % --sat_gr_def false
% 151.51/151.96 % --sat_epr_types true
% 151.51/151.96 % --sat_non_cyclic_types false
% 151.51/151.96 % --sat_finite_models false
% 151.51/151.96 % --sat_fm_lemmas false
% 151.51/151.96 % --sat_fm_prep false
% 151.51/151.96 % --sat_fm_uc_incr true
% 151.51/151.96 % --sat_out_model small
% 151.51/151.96 % --sat_out_clauses false
% 151.51/151.96
% 151.51/151.96 % ------ QBF Options
% 151.51/151.96
% 151.51/151.96 % --qbf_mode false
% 151.51/151.96 % --qbf_elim_univ true
% 151.51/151.96 % --qbf_sk_in true
% 151.51/151.96 % --qbf_pred_elim true
% 151.51/151.96 % --qbf_split 32
% 151.51/151.96
% 151.51/151.96 % ------ BMC1 Options
% 151.51/151.96
% 151.51/151.96 % --bmc1_incremental false
% 151.51/151.96 % --bmc1_axioms reachable_all
% 151.51/151.96 % --bmc1_min_bound 0
% 151.51/151.96 % --bmc1_max_bound -1
% 151.51/151.96 % --bmc1_max_bound_default -1
% 151.51/151.96 % --bmc1_symbol_reachability true
% 151.51/151.96 % --bmc1_property_lemmas false
% 151.51/151.96 % --bmc1_k_induction false
% 151.51/151.96 % --bmc1_non_equiv_states false
% 151.51/151.96 % --bmc1_deadlock false
% 151.51/151.96 % --bmc1_ucm false
% 151.51/151.96 % --bmc1_add_unsat_core none
% 151.51/151.96 % --bmc1_unsat_core_children false
% 151.51/151.96 % --bmc1_unsat_core_extrapolate_axioms false
% 151.51/151.96 % --bmc1_out_stat full
% 151.51/151.96 % --bmc1_ground_init false
% 151.51/151.96 % --bmc1_pre_inst_next_state false
% 151.51/151.96 % --bmc1_pre_inst_state false
% 151.51/151.96 % --bmc1_pre_inst_reach_state false
% 151.51/151.96 % --bmc1_out_unsat_core false
% 151.51/151.96 % --bmc1_aig_witness_out false
% 151.51/151.96 % --bmc1_verbose false
% 151.51/151.96 % --bmc1_dump_clauses_tptp false
% 151.51/151.96 % --bmc1_dump_unsat_core_tptp false
% 151.51/151.96 % --bmc1_dump_file -
% 151.51/151.96 % --bmc1_ucm_expand_uc_limit 128
% 151.51/151.96 % --bmc1_ucm_n_expand_iterations 6
% 151.51/151.96 % --bmc1_ucm_extend_mode 1
% 151.51/151.96 % --bmc1_ucm_init_mode 2
% 151.51/151.96 % --bmc1_ucm_cone_mode none
% 151.51/151.96 % --bmc1_ucm_reduced_relation_type 0
% 151.51/151.96 % --bmc1_ucm_relax_model 4
% 151.51/151.96 % --bmc1_ucm_full_tr_after_sat true
% 151.51/151.96 % --bmc1_ucm_expand_neg_assumptions false
% 151.51/151.96 % --bmc1_ucm_layered_model none
% 151.51/151.96 % --bmc1_ucm_max_lemma_size 10
% 151.51/151.96
% 151.51/151.96 % ------ AIG Options
% 151.51/151.96
% 151.51/151.96 % --aig_mode false
% 151.51/151.96
% 151.51/151.96 % ------ Instantiation Options
% 151.51/151.96
% 151.51/151.96 % --instantiation_flag true
% 151.51/151.96 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 151.51/151.96 % --inst_solver_per_active 750
% 151.51/151.96 % --inst_solver_calls_frac 0.5
% 151.51/151.97 % --inst_passive_queue_type priority_queues
% 151.51/151.97 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 151.51/151.97 % --inst_passive_queues_freq [25;2]
% 151.51/151.97 % --inst_dismatching true
% 151.51/151.97 % --inst_eager_unprocessed_to_passive true
% 151.51/151.97 % --inst_prop_sim_given true
% 151.51/151.97 % --inst_prop_sim_new false
% 151.51/151.97 % --inst_orphan_elimination true
% 151.51/151.97 % --inst_learning_loop_flag true
% 151.51/151.97 % --inst_learning_start 3000
% 151.51/151.97 % --inst_learning_factor 2
% 151.51/151.97 % --inst_start_prop_sim_after_learn 3
% 151.51/151.97 % --inst_sel_renew solver
% 151.51/151.97 % --inst_lit_activity_flag true
% 151.51/151.97 % --inst_out_proof true
% 151.51/151.97
% 151.51/151.97 % ------ Resolution Options
% 151.51/151.97
% 151.51/151.97 % --resolution_flag true
% 151.51/151.97 % --res_lit_sel kbo_max
% 151.51/151.97 % --res_to_prop_solver none
% 151.51/151.97 % --res_prop_simpl_new false
% 151.51/151.97 % --res_prop_simpl_given false
% 151.51/151.97 % --res_passive_queue_type priority_queues
% 151.51/151.97 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 151.51/151.97 % --res_passive_queues_freq [15;5]
% 151.51/151.97 % --res_forward_subs full
% 151.51/151.97 % --res_backward_subs full
% 151.51/151.97 % --res_forward_subs_resolution true
% 151.51/151.97 % --res_backward_subs_resolution true
% 151.51/151.97 % --res_orphan_elimination false
% 151.51/151.97 % --res_time_limit 1000.
% 151.51/151.97 % --res_out_proof true
% 151.51/151.97 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_964a9a.s
% 151.51/151.97 % --modulo true
% 151.51/151.97
% 151.51/151.97 % ------ Combination Options
% 151.51/151.97
% 151.51/151.97 % --comb_res_mult 1000
% 151.51/151.97 % --comb_inst_mult 300
% 151.51/151.97 % ------
% 151.51/151.97
% 151.51/151.97
% 151.51/151.97
% 151.51/151.97 % ------ Proving...
% 151.51/151.97 % warning: shown sat in sat incomplete mode
% 151.51/151.97 %
% 151.51/151.97
% 151.51/151.97
% 151.51/151.97
% 151.51/151.97
% 151.51/151.97 cnf(c_853,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 151.51/151.97 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1554_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3619,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 151.51/151.97 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_853]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3620,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3619]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_841,plain,
% 151.51/151.97 ( c_HOL_Otimes__class_Otimes(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat) != X2
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X3,X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X3,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat) != X1 ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1558_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3595,plain,
% 151.51/151.97 ( c_HOL_Otimes__class_Otimes(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat) != X2
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X3,X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X3,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat) != X1 ),
% 151.51/151.97 inference(copy,[status(esa)],[c_841]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3596,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X3,c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),tc_nat) != X1
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X2,c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),tc_nat) != X0 ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3595]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_840,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X0,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat) != X2
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat) != X3 ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1558_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3593,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X0,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat) != X2
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat) != X3 ),
% 151.51/151.97 inference(copy,[status(esa)],[c_840]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3594,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X2,c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),tc_nat) != X0
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X3,c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),tc_nat) != X1 ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3593]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_837,plain,
% 151.51/151.97 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1559_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3587,plain,
% 151.51/151.97 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_837]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3588,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3587]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_833,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1561_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3579,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_833]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3580,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3579]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_832,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1561_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3577,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_832]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3578,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3577]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_814,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1566_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3541,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_814]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3542,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3541]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_809,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1567_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3531,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_809]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3532,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3531]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_797,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1573_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3507,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_797]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3508,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3507]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_792,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1574_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3497,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_792]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3498,plain,
% 151.51/151.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3497]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_763,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1583_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3439,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_763]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3440,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3439]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_757,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1585_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3427,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_757]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3428,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | 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)
% 151.51/151.97 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3427]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_753,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1586_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3419,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_753]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3420,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | 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)
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3419]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_750,plain,
% 151.51/151.97 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1587_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3413,plain,
% 151.51/151.97 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_750]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3414,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3413]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_742,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1590_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3397,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_742]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3398,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3397]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_698,plain,
% 151.51/151.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1607_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3309,plain,
% 151.51/151.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_698]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3310,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3309]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_683,plain,
% 151.51/151.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X2,X0,tc_nat),X1,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1612_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3279,plain,
% 151.51/151.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X2,X0,tc_nat),X1,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_683]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3280,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3279]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_636,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 151.51/151.97 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1640_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3185,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 151.51/151.97 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_636]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3186,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3185]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_631,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 151.51/151.97 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1641_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3175,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 151.51/151.97 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_631]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3176,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3175]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_628,plain,
% 151.51/151.97 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 151.51/151.97 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 151.51/151.97 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1641_4) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3169,plain,
% 151.51/151.97 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 151.51/151.97 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 151.51/151.97 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_628]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3170,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 151.51/151.97 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3169]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_623,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),X0,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1643_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3159,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),X0,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_623]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3160,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3159]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_620,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X0,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1644_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3153,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X0,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_620]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3154,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3153]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_617,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X0,tc_nat),tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1645_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3147,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X0,tc_nat),tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_617]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3148,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3147]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_614,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X0,X2,tc_nat),tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1646_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3141,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X0,X2,tc_nat),tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_614]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3142,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3141]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_600,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.97 | X2 = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1652_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3113,plain,
% 151.51/151.97 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.97 | X2 = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_600]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3114,plain,
% 151.51/151.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3113]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_598,plain,
% 151.51/151.97 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1652_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3109,plain,
% 151.51/151.97 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_598]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3110,plain,
% 151.51/151.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.97 | c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.97 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3109]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_579,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1658_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3071,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_579]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3072,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__field(X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3071]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_576,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1659_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3065,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_576]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3066,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3065]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_541,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1674_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2995,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_541]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2996,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2995]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_527,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1681_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2967,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_527]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2968,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2967]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_524,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1682_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2961,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_524]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2962,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2961]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_521,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1683_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2955,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_521]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2956,plain,
% 151.51/151.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2955]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_518,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1684_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2949,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_518]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2950,plain,
% 151.51/151.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2949]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_508,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1687_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2929,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_508]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2930,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2929]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_441,plain,
% 151.51/151.97 ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_Power_Opower__class_Opower(X0,X2,X1)
% 151.51/151.97 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1711_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2795,plain,
% 151.51/151.97 ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_Power_Opower__class_Opower(X0,X2,X1)
% 151.51/151.97 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_441]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2796,plain,
% 151.51/151.97 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 151.51/151.97 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X0,X1) = c_Power_Opower__class_Opower(X2,X0,X1) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2795]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_400,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | ~ class_Power_Opower(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Omult__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1743_5) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2713,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | ~ class_Power_Opower(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Omult__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_400]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2714,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Omult__zero(X0)
% 151.51/151.97 | ~ class_Power_Opower(X0)
% 151.51/151.97 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2713]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_395,plain,
% 151.51/151.97 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | ~ class_Power_Opower(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Omult__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1744_4) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2703,plain,
% 151.51/151.97 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | ~ class_Power_Opower(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Omult__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_395]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2704,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Omult__zero(X0)
% 151.51/151.97 | ~ class_Power_Opower(X0)
% 151.51/151.97 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2703]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_364,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.97 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1756_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2641,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.97 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_364]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2642,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 151.51/151.97 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2641]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_353,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.51/151.97 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | ~ class_Power_Opower(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Omult__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1764_5) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2619,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.51/151.97 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | ~ class_Power_Opower(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Omult__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_353]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2620,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Omult__zero(X0)
% 151.51/151.97 | ~ class_Power_Opower(X0)
% 151.51/151.97 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2619]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_335,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1770_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2583,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_335]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2584,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Oordered__field(X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2583]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_294,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1788_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2501,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_294]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2502,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2501]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_276,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1794_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2465,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_276]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2466,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2465]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_200,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 151.51/151.97 | X1 = X2
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1830_0) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2313,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 151.51/151.97 | X1 = X2
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_200]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2314,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | X1 = X2 ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2313]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_182,plain,
% 151.51/151.97 ( X0 = X1
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1841_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2277,plain,
% 151.51/151.97 ( X0 = X1
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_182]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2278,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 151.51/151.97 | X1 = X2 ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2277]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_179,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1860_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2271,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_179]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2272,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2271]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_169,plain,
% 151.51/151.97 ( X0 = c_HOL_Oone__class_Oone(X1)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1866_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2251,plain,
% 151.51/151.97 ( X0 = c_HOL_Oone__class_Oone(X1)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_169]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2252,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 151.51/151.97 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2251]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_148,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1873_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2209,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_148]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2210,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2209]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_145,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1874_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2203,plain,
% 151.51/151.97 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_145]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_2204,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.51/151.97 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.51/151.97 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_2203]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_857,negated_conjecture,
% 151.51/151.97 ( c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_4) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_1088,negated_conjecture,
% 151.51/151.97 ( c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_857]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_1092,negated_conjecture,
% 151.51/151.97 ( c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_1088]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_1093,negated_conjecture,
% 151.51/151.97 ( c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_1092]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_1094,negated_conjecture,
% 151.51/151.97 ( c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_1093]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3627,negated_conjecture,
% 151.51/151.97 ( c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_1094]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_855,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | 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)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1554_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3623,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | 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)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_855]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3624,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3623]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_852,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1555_0) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3617,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_852]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_851,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1555_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3615,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_851]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_848,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 151.51/151.97 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1555_4) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3609,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 151.51/151.97 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_848]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3610,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3609]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_846,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1556_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3605,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_846]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3606,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3605]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_844,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1557_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3601,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_844]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3602,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3601]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_835,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1560_1) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3583,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_835]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3584,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3583]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_830,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 151.51/151.97 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1561_4) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3573,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 151.51/151.97 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_830]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3574,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3573]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_827,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 151.51/151.97 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1562_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3567,plain,
% 151.51/151.97 ( 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)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 151.51/151.97 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_827]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3568,plain,
% 151.51/151.97 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.97 | 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) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3567]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_823,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Oidom(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1563_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3559,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Oidom(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_823]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3560,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Oidom(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 151.51/151.97 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3559]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_819,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Oidom(X1) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1564_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3551,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 151.51/151.97 | ~ class_Ring__and__Field_Oidom(X1) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_819]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3552,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Oidom(X0)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 151.51/151.97 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3551]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_816,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1565_2) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3545,plain,
% 151.51/151.97 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_816]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3546,plain,
% 151.51/151.97 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 151.51/151.97 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.97 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.51/151.97 inference(rewriting,[status(thm)],[c_3545]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_812,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.97 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1566_3) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3537,plain,
% 151.51/151.97 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 151.51/151.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 151.51/151.97 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.97 inference(copy,[status(esa)],[c_812]) ).
% 151.51/151.97
% 151.51/151.97 cnf(c_3538,plain,
% 151.51/151.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3537]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_806,plain,
% 151.51/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1568_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3525,plain,
% 151.51/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_806]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3526,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.98 | 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)
% 151.51/151.98 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3525]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_804,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1569_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3521,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_804]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3522,plain,
% 151.51/151.98 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3521]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_802,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1570_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3517,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_802]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3518,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3517]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_799,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1572_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3511,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_799]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3512,plain,
% 151.51/151.98 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3511]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_795,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1573_3) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3503,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_795]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_791,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1575_0) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3495,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_791]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_788,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1576_0) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3489,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_788]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_785,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1577_0) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3483,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_785]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_782,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1578_0) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3477,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_782]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_777,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Oidom(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1579_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3467,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Oidom(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_777]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3468,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Oidom(X0)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3467]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_774,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Oidom(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1580_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3461,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Oidom(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_774]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3462,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Oidom(X0)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3461]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_771,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1581_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3455,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_771]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3456,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3455]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_767,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1582_3) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3447,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_767]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_766,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1582_4) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3445,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_766]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_761,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1584_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3435,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_761]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_747,plain,
% 151.51/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | 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)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X1) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1588_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3407,plain,
% 151.51/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | 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)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X1) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_747]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3408,plain,
% 151.51/151.98 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.98 | 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)
% 151.51/151.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3407]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_744,plain,
% 151.51/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | 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)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X1) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1589_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3401,plain,
% 151.51/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | 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)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X1) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_744]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3402,plain,
% 151.51/151.98 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.98 | 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)
% 151.51/151.98 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3401]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_741,plain,
% 151.51/151.98 ( c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1590_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3395,plain,
% 151.51/151.98 ( c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_741]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_739,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1591_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3391,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_739]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3392,plain,
% 151.51/151.98 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3391]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_735,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1593_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3383,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_735]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3384,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3383]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_731,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1595_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3375,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_731]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3376,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3375]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_729,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1596_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3371,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_729]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3372,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3371]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_727,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1597_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3367,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_727]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3368,plain,
% 151.51/151.98 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3367]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_724,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1598_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3361,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_724]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_721,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1599_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3355,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_721]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_720,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1599_3) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3353,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_720]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_719,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1599_4) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3351,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_719]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_717,plain,
% 151.51/151.98 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 151.51/151.98 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1600_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3347,plain,
% 151.51/151.98 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 151.51/151.98 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_717]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3348,plain,
% 151.51/151.98 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 151.51/151.98 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3347]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_715,plain,
% 151.51/151.98 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1601_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3343,plain,
% 151.51/151.98 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_715]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3344,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3343]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_697,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1607_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3307,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_697]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_682,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1612_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3277,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_682]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_679,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1613_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3271,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_679]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3272,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3271]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_676,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1614_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3265,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_676]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3266,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3265]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_674,plain,
% 151.51/151.98 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1623_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3261,plain,
% 151.51/151.98 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_674]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3262,plain,
% 151.51/151.98 ( c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3261]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_672,plain,
% 151.51/151.98 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1624_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3257,plain,
% 151.51/151.98 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_672]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3258,plain,
% 151.51/151.98 ( c_GCD_Ogcd__class_Ogcd(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3257]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_671,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1625_0) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3255,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_671]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_669,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1625_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3251,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_669]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_668,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1625_3) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3249,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_668]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_667,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1626_0) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3247,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_667]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_666,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1626_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3245,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_666]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_665,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1626_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3243,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_665]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_664,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1626_3) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3241,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_664]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_662,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X0) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1627_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3237,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X0) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_662]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3238,plain,
% 151.51/151.98 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3237]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_656,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X2,tc_nat),X1,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1630_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3225,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X2,tc_nat),X1,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_656]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3226,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3225]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_654,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X2,X0,tc_nat),X1,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1631_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3221,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X2,X0,tc_nat),X1,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_654]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3222,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3221]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_644,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1636_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3201,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_644]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3202,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3201]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_642,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1637_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3197,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_642]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3198,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3197]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_640,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Oidom(X1) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1638_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3193,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Oidom(X1) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_640]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3194,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Oidom(X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3193]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_638,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Oidom(X0) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1639_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3189,plain,
% 151.51/151.98 ( 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Oidom(X0) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_638]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3190,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Oidom(X0)
% 151.51/151.98 | 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) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3189]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_633,plain,
% 151.51/151.98 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 151.51/151.98 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 151.51/151.98 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 151.51/151.98 | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1640_4) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3179,plain,
% 151.51/151.98 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 151.51/151.98 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 151.51/151.98 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 151.51/151.98 | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 151.51/151.98 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_633]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3180,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.51/151.98 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 151.51/151.98 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 151.51/151.98 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3179]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_626,plain,
% 151.51/151.98 ( c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1642_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3165,plain,
% 151.51/151.98 ( c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)
% 151.51/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_626]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_612,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1647_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3137,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_612]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_611,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1647_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3135,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_611]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_610,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1647_3) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3133,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_610]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_608,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1648_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3129,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_608]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_607,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1648_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3127,plain,
% 151.51/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_607]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_606,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1648_3) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3125,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_606]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_595,plain,
% 151.51/151.98 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1653_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3103,plain,
% 151.51/151.98 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_595]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3104,plain,
% 151.51/151.98 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.98 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3103]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_592,plain,
% 151.51/151.98 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1654_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3097,plain,
% 151.51/151.98 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.51/151.98 | ~ class_Divides_Osemiring__div(X2) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_592]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3098,plain,
% 151.51/151.98 ( ~ class_Divides_Osemiring__div(X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.51/151.98 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3097]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_589,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1655_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3091,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_589]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3092,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3091]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_586,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1656_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3085,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 151.51/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_586]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3086,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.51/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3085]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_585,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.51/151.98 | 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)
% 151.51/151.98 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1657_0) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3083,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.51/151.98 | 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)
% 151.51/151.98 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_585]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_582,plain,
% 151.51/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1657_3) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3077,plain,
% 151.51/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_582]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3078,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.51/151.98 | 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)
% 151.51/151.98 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.51/151.98 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.51/151.98 inference(rewriting,[status(thm)],[c_3077]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_570,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1662_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3053,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_570]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_568,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1663_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3049,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_568]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_566,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1664_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3045,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_566]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_564,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1665_1) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3041,plain,
% 151.51/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X2,tc_nat)
% 151.51/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_564]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_561,plain,
% 151.51/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 151.51/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1666_2) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3035,plain,
% 151.51/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.51/151.98 | 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)
% 151.51/151.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 151.51/151.98 inference(copy,[status(esa)],[c_561]) ).
% 151.51/151.98
% 151.51/151.98 cnf(c_3036,plain,
% 151.51/151.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 151.51/151.98 | 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)
% 151.70/151.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_3035]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_560,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1667_0) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3033,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_560]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_559,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1667_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3031,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_559]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_557,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1667_3) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3027,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_557]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3028,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_3027]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_555,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1668_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3023,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_555]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3024,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.98 | 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) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_3023]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_553,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1669_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3019,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_553]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3020,plain,
% 151.70/151.98 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 151.70/151.98 | 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) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_3019]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_551,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1670_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3015,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_551]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3016,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.98 | 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) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_3015]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_549,plain,
% 151.70/151.98 ( c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1)
% 151.70/151.98 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1671_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3011,plain,
% 151.70/151.98 ( c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1)
% 151.70/151.98 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_549]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3012,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 151.70/151.98 | c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_3011]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_547,plain,
% 151.70/151.98 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 151.70/151.98 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1672_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3007,plain,
% 151.70/151.98 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 151.70/151.98 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_547]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3008,plain,
% 151.70/151.98 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 151.70/151.98 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_3007]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_546,plain,
% 151.70/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1673_0) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3005,plain,
% 151.70/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_546]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_545,plain,
% 151.70/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1673_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3003,plain,
% 151.70/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_545]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_544,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1673_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_3001,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_544]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_538,plain,
% 151.70/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.98 | 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1675_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2989,plain,
% 151.70/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.98 | 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_538]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2990,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.70/151.98 | 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)
% 151.70/151.98 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2989]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_537,plain,
% 151.70/151.98 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 151.70/151.98 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 151.70/151.98 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1678_0) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2987,plain,
% 151.70/151.98 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 151.70/151.98 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 151.70/151.98 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_537]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_535,plain,
% 151.70/151.98 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 151.70/151.98 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 151.70/151.98 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1678_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2983,plain,
% 151.70/151.98 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 151.70/151.98 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 151.70/151.98 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_535]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2984,plain,
% 151.70/151.98 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 151.70/151.98 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 151.70/151.98 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2983]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_533,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1679_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2979,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_533]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2980,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.98 | 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) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2979]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_516,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1685_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2945,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_516]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2946,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.98 | 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) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2945]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_497,plain,
% 151.70/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.98 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 151.70/151.98 | ~ class_Divides_Osemiring__div(X1) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1690_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2907,plain,
% 151.70/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.98 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 151.70/151.98 | ~ class_Divides_Osemiring__div(X1) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_497]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2908,plain,
% 151.70/151.98 ( ~ class_Divides_Osemiring__div(X0)
% 151.70/151.98 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 151.70/151.98 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2907]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_494,plain,
% 151.70/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.98 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 151.70/151.98 | ~ class_Divides_Osemiring__div(X1) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1691_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2901,plain,
% 151.70/151.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.98 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 151.70/151.98 | ~ class_Divides_Osemiring__div(X1) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_494]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2902,plain,
% 151.70/151.98 ( ~ class_Divides_Osemiring__div(X0)
% 151.70/151.98 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 151.70/151.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2901]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_488,plain,
% 151.70/151.98 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 151.70/151.98 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1693_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2889,plain,
% 151.70/151.98 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 151.70/151.98 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_488]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2890,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.70/151.98 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 151.70/151.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2889]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_485,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1694_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2883,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_485]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_482,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1695_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2877,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_482]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_476,plain,
% 151.70/151.98 ( X0 = X1
% 151.70/151.98 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.98 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1697_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2865,plain,
% 151.70/151.98 ( X0 = X1
% 151.70/151.98 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.98 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_476]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2866,plain,
% 151.70/151.98 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 151.70/151.98 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.98 | X1 = X2 ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2865]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_473,plain,
% 151.70/151.98 ( X0 = X1
% 151.70/151.98 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.98 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1698_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2859,plain,
% 151.70/151.98 ( X0 = X1
% 151.70/151.98 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.98 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_473]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2860,plain,
% 151.70/151.98 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 151.70/151.98 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.98 | X0 = X2 ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2859]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_452,plain,
% 151.70/151.98 ( X0 = X1
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1705_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2817,plain,
% 151.70/151.98 ( X0 = X1
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_452]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2818,plain,
% 151.70/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.70/151.98 | X0 = X1 ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2817]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_453,plain,
% 151.70/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | X1 = X0
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1705_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2819,plain,
% 151.70/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | X1 = X0
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_453]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2820,plain,
% 151.70/151.98 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 151.70/151.98 | X1 = X0 ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2819]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_450,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Odvd(X2) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1706_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2813,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Odvd(X2) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_450]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2814,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Odvd(X0)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2813]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_448,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1707_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2809,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_448]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2810,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2809]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_446,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1708_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2805,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_446]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2806,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.98 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2805]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_444,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1709_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2801,plain,
% 151.70/151.98 ( 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)
% 151.70/151.98 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_444]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2802,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.98 | 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) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2801]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_438,plain,
% 151.70/151.98 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 151.70/151.98 | ~ class_Int_Onumber__ring(X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1726_2) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2789,plain,
% 151.70/151.98 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 151.70/151.98 | ~ class_Int_Onumber__ring(X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_438]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2790,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.70/151.98 | ~ class_Int_Onumber__ring(X0)
% 151.70/151.98 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2789]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_432,plain,
% 151.70/151.98 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1729_1) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2777,plain,
% 151.70/151.98 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 151.70/151.98 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.70/151.98 inference(copy,[status(esa)],[c_432]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_2778,plain,
% 151.70/151.98 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.70/151.98 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 151.70/151.98 inference(rewriting,[status(thm)],[c_2777]) ).
% 151.70/151.98
% 151.70/151.98 cnf(c_430,plain,
% 151.70/151.98 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.98 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != X0 ),
% 151.70/151.98 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1730_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2773,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != X0 ),
% 151.70/151.99 inference(copy,[status(esa)],[c_430]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_426,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X1,X0,tc_nat) != X1 ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1732_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2765,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X1,X0,tc_nat) != X1 ),
% 151.70/151.99 inference(copy,[status(esa)],[c_426]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_424,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != X1 ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1733_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2761,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != X1 ),
% 151.70/151.99 inference(copy,[status(esa)],[c_424]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_422,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = X0
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1734_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2757,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = X0
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_422]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2758,plain,
% 151.70/151.99 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = X0 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2757]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_420,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = X1
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1735_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2753,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = X1
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_420]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2754,plain,
% 151.70/151.99 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Ogcd(X1,X0,tc_nat) = X0 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2753]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_414,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) = X1
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1738_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2741,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) = X1
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_414]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2742,plain,
% 151.70/151.99 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2741]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_410,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) = X0
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1740_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2733,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) = X0
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_410]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2734,plain,
% 151.70/151.99 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X1,X0,tc_nat) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2733]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_408,plain,
% 151.70/151.99 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 151.70/151.99 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1741_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2729,plain,
% 151.70/151.99 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 151.70/151.99 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_408]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_406,plain,
% 151.70/151.99 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 151.70/151.99 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1742_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2725,plain,
% 151.70/151.99 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 151.70/151.99 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_406]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_391,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1746_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2695,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_391]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2696,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2695]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_389,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1747_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2691,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_389]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2692,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2691]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_386,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1748_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2685,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_386]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2686,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2685]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_381,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1752_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2675,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_381]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_378,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1752_3) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2669,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_378]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2670,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2669]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_377,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1753_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2667,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_377]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_374,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1753_3) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2661,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_374]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2662,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2661]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_371,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1754_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2655,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_371]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2656,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2655]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_367,plain,
% 151.70/151.99 ( X0 = X1
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 151.70/151.99 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1755_3) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2647,plain,
% 151.70/151.99 ( X0 = X1
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 151.70/151.99 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X2) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_367]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2648,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = X2 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2647]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_361,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1762_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2635,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_361]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2636,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 151.70/151.99 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2635]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_359,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1763_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2631,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_359]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2632,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2631]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_350,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1765_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2613,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_350]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2614,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2613]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_347,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1766_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2607,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_347]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2608,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2607]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_344,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1767_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2601,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_344]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2602,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2601]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_343,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1768_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2599,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_343]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_341,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1768_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2595,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_341]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2596,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2595]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_340,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1769_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2593,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_340]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_338,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1769_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2589,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_338]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2590,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2589]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_332,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != X1 ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1771_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2577,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != X1 ),
% 151.70/151.99 inference(copy,[status(esa)],[c_332]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2578,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X0
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2577]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_329,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1772_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2571,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_329]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2572,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 151.70/151.99 | 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)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2571]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_327,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1773_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2567,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_327]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2568,plain,
% 151.70/151.99 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 151.70/151.99 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2567]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_317,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1778_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2547,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_317]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2548,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2547]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_315,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1779_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2543,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Olcm(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_315]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2544,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2543]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_313,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1780_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2539,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_313]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2540,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2539]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_311,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1781_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2535,plain,
% 151.70/151.99 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_311]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2536,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 151.70/151.99 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2535]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_305,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1784_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2523,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_305]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2524,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2523]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_303,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Ogcd(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1785_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2519,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_GCD_Ogcd__class_Ogcd(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_303]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2520,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2519]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_300,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 151.70/151.99 | ~ class_Int_Onumber__ring(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1786_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2513,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 151.70/151.99 | ~ class_Int_Onumber__ring(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_300]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2514,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.70/151.99 | ~ class_Int_Onumber__ring(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2513]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_290,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Power_Opower(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1789_3) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2493,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 151.70/151.99 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Power_Opower(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_290]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2494,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 151.70/151.99 | ~ class_Power_Opower(X0)
% 151.70/151.99 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2493]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_287,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_Power_Opower(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1790_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2487,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_Power_Opower(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_287]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2488,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 151.70/151.99 | ~ class_Power_Opower(X0)
% 151.70/151.99 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2487]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_285,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1791_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2483,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_285]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2484,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2483]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_270,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1796_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2453,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_270]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2454,plain,
% 151.70/151.99 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 151.70/151.99 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2453]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_268,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1797_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2449,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_268]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2450,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2449]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_266,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1798_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2445,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_266]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2446,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2445]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_264,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1799_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2441,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_264]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2442,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2441]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_262,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1800_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2437,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_262]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2438,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2437]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_256,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1803_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2425,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_256]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2426,plain,
% 151.70/151.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2425]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_252,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1805_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2417,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_252]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2418,plain,
% 151.70/151.99 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2417]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_250,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1806_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2413,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_250]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2414,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2413]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_248,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1807_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2409,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_248]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2410,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2409]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_246,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1808_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2405,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_246]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2406,plain,
% 151.70/151.99 ( ~ class_RealVector_Oreal__normed__field(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2405]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_244,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1809_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2401,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_244]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2402,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2401]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_242,plain,
% 151.70/151.99 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Divides_Osemiring__div(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1810_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2397,plain,
% 151.70/151.99 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Divides_Osemiring__div(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_242]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2398,plain,
% 151.70/151.99 ( ~ class_Divides_Osemiring__div(X0)
% 151.70/151.99 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2397]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_240,plain,
% 151.70/151.99 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Divides_Osemiring__div(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1811_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2393,plain,
% 151.70/151.99 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Divides_Osemiring__div(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_240]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2394,plain,
% 151.70/151.99 ( ~ class_Divides_Osemiring__div(X0)
% 151.70/151.99 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2393]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_238,plain,
% 151.70/151.99 ( c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X0,tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Nat_Osemiring__char__0(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1812_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2389,plain,
% 151.70/151.99 ( c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X0,tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Nat_Osemiring__char__0(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_238]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2390,plain,
% 151.70/151.99 ( ~ class_Nat_Osemiring__char__0(X0)
% 151.70/151.99 | c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X1,tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2389]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_235,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Divides_Osemiring__div(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1813_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2383,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Divides_Osemiring__div(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_235]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2384,plain,
% 151.70/151.99 ( ~ class_Divides_Osemiring__div(X0)
% 151.70/151.99 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2383]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_229,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1815_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2371,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_229]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2372,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2371]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_227,plain,
% 151.70/151.99 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 151.70/151.99 | ~ class_Divides_Osemiring__div(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1816_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2367,plain,
% 151.70/151.99 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 151.70/151.99 | ~ class_Divides_Osemiring__div(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_227]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2368,plain,
% 151.70/151.99 ( ~ class_Divides_Osemiring__div(X0)
% 151.70/151.99 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2367]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_223,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1818_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2359,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_223]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2360,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2359]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_221,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1819_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2355,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_221]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2356,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2355]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_219,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 151.70/151.99 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1820_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2351,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 151.70/151.99 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_219]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2352,plain,
% 151.70/151.99 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2351]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_217,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 151.70/151.99 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1821_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2347,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 151.70/151.99 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_217]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2348,plain,
% 151.70/151.99 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2347]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_215,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 151.70/151.99 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1822_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2343,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 151.70/151.99 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_215]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2344,plain,
% 151.70/151.99 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2343]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_213,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1823_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2339,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 151.70/151.99 | ~ class_Ring__and__Field_Ofield(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_213]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2340,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2339]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_211,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1824_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2335,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_211]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2336,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2335]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_209,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Power_Opower(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1825_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2331,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 151.70/151.99 | ~ class_Power_Opower(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_209]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2332,plain,
% 151.70/151.99 ( ~ class_Power_Opower(X0)
% 151.70/151.99 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2331]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_207,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1826_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2327,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_207]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2328,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2327]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_205,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1827_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2323,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_205]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2324,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2323]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_203,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1828_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2319,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_203]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2320,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2319]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_201,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 151.70/151.99 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1829_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2315,plain,
% 151.70/151.99 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 151.70/151.99 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_201]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2316,plain,
% 151.70/151.99 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 151.70/151.99 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2315]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_196,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | X0 = X2
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1830_4) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2305,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | X0 = X2
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_196]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2306,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = X2 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2305]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_194,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 151.70/151.99 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1831_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2301,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 151.70/151.99 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_194]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2302,plain,
% 151.70/151.99 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 151.70/151.99 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2301]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_192,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1832_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2297,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_192]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2298,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 151.70/151.99 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2297]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_190,plain,
% 151.70/151.99 ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 151.70/151.99 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1838_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2293,plain,
% 151.70/151.99 ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 151.70/151.99 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_190]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2294,plain,
% 151.70/151.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 151.70/151.99 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2293]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_188,plain,
% 151.70/151.99 ( c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1839_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2289,plain,
% 151.70/151.99 ( c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_188]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2290,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.99 | c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2289]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_186,plain,
% 151.70/151.99 ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1840_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2285,plain,
% 151.70/151.99 ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_186]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2286,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2285]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_176,plain,
% 151.70/151.99 ( X0 = X1
% 151.70/151.99 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 151.70/151.99 | ~ class_Nat_Osemiring__char__0(X2) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1863_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2265,plain,
% 151.70/151.99 ( X0 = X1
% 151.70/151.99 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 151.70/151.99 | ~ class_Nat_Osemiring__char__0(X2) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_176]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2266,plain,
% 151.70/151.99 ( ~ class_Nat_Osemiring__char__0(X0)
% 151.70/151.99 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 151.70/151.99 | X1 = X2 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2265]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_173,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1864_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2259,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_173]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2260,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2259]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_162,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1868_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2237,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_162]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2238,plain,
% 151.70/151.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 151.70/151.99 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2237]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_159,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1869_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2231,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_159]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2232,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2231]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_156,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1870_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2225,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_156]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2226,plain,
% 151.70/151.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2225]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_153,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1871_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2219,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_153]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2220,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2219]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_151,plain,
% 151.70/151.99 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1872_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2215,plain,
% 151.70/151.99 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_151]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2216,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 151.70/151.99 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2215]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_142,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ c_Int_Oiszero(X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1875_2) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2197,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 151.70/151.99 | ~ c_Int_Oiszero(X0,X1)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_142]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2198,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 151.70/151.99 | ~ c_Int_Oiszero(X1,X0)
% 151.70/151.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2197]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_140,plain,
% 151.70/151.99 ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1876_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2193,plain,
% 151.70/151.99 ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_140]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2194,plain,
% 151.70/151.99 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2193]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_138,plain,
% 151.70/151.99 ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1877_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2189,plain,
% 151.70/151.99 ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_138]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2190,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.99 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2189]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_136,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1878_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2185,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_136]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2186,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2185]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_134,plain,
% 151.70/151.99 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1879_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2181,plain,
% 151.70/151.99 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_134]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2182,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2181]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_132,plain,
% 151.70/151.99 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1880_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2177,plain,
% 151.70/151.99 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_132]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2178,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2177]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_130,plain,
% 151.70/151.99 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1881_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2173,plain,
% 151.70/151.99 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_130]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2174,plain,
% 151.70/151.99 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 151.70/151.99 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2173]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_128,plain,
% 151.70/151.99 ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1882_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2169,plain,
% 151.70/151.99 ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_128]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2170,plain,
% 151.70/151.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 151.70/151.99 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2169]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_126,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1883_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2165,plain,
% 151.70/151.99 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_126]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2166,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 151.70/151.99 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2165]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_124,plain,
% 151.70/151.99 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1884_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2161,plain,
% 151.70/151.99 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_124]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2162,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 151.70/151.99 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2161]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_122,plain,
% 151.70/151.99 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1885_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2157,plain,
% 151.70/151.99 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_122]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2158,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 151.70/151.99 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2157]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_120,plain,
% 151.70/151.99 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1886_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2153,plain,
% 151.70/151.99 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_120]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2154,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 151.70/151.99 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2153]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_116,plain,
% 151.70/151.99 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1890_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2145,plain,
% 151.70/151.99 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 151.70/151.99 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_116]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2146,plain,
% 151.70/151.99 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 151.70/151.99 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2145]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_114,plain,
% 151.70/151.99 ( X0 = X1 | c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1894_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2141,plain,
% 151.70/151.99 ( X0 = X1 | c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_114]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2142,plain,
% 151.70/151.99 ( c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) | X0 = X1 ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2141]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_112,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 151.70/151.99 | c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1895_1) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2137,plain,
% 151.70/151.99 ( X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 151.70/151.99 | c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_112]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2138,plain,
% 151.70/151.99 ( c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 151.70/151.99 | X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(rewriting,[status(thm)],[c_2137]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_111,plain,
% 151.70/151.99 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1887_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2135,plain,
% 151.70/151.99 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_111]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_110,plain,
% 151.70/151.99 ( c_Fact_Ofact__class_Ofact(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1888_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2133,plain,
% 151.70/151.99 ( c_Fact_Ofact__class_Ofact(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_110]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_109,plain,
% 151.70/151.99 ( c_FFT__Mirabelle_Oroot(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1897_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2131,plain,
% 151.70/151.99 ( c_FFT__Mirabelle_Oroot(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_109]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_108,plain,
% 151.70/151.99 ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1901_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2129,plain,
% 151.70/151.99 ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 151.70/151.99 inference(copy,[status(esa)],[c_108]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_107,plain,
% 151.70/151.99 ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1902_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2127,plain,
% 151.70/151.99 ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 151.70/151.99 inference(copy,[status(esa)],[c_107]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_106,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(X0,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1552_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2125,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(X0,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_106]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_105,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),c_GCD_Ogcd__class_Olcm(X0,X2,tc_nat),tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1553_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2123,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),c_GCD_Ogcd__class_Olcm(X0,X2,tc_nat),tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_105]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_101,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat) = c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X0,X2,tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1617_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2118,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat) = c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X0,X2,tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_101]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_98,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Ogcd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat) = c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1620_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2114,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Ogcd(X0,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat) = c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X0,X2,tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_98]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_95,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1649_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2110,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_95]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_94,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1650_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2108,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_94]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_84,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X0,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1718_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2093,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X0,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_84]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_83,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X1,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1719_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2091,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat),X1,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_83]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_78,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1724_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2081,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_78]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_77,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Olcm(X1,X0,tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1725_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2079,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_GCD_Ogcd__class_Olcm(X1,X0,tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_77]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_76,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1749_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2077,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_76]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_75,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1750_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2075,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_75]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_73,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_GCD_Ogcd__class_Ogcd(X1,X0,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1758_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2071,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Ogcd(X0,X1,tc_nat) = c_GCD_Ogcd__class_Ogcd(X1,X0,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_73]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_71,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) = c_GCD_Ogcd__class_Olcm(X1,X0,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1760_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2067,plain,
% 151.70/151.99 ( c_GCD_Ogcd__class_Olcm(X0,X1,tc_nat) = c_GCD_Ogcd__class_Olcm(X1,X0,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_71]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_70,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1761_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2065,plain,
% 151.70/151.99 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_70]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_64,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1842_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2058,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_64]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_48,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1858_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2041,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_48]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_47,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1859_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2039,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_47]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_44,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1865_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2035,plain,
% 151.70/151.99 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_44]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_41,plain,
% 151.70/151.99 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1893_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2031,plain,
% 151.70/151.99 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_41]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_36,plain,
% 151.70/151.99 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1903_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2025,plain,
% 151.70/151.99 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_36]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_35,plain,
% 151.70/151.99 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1904_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2023,plain,
% 151.70/151.99 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_35]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_34,plain,
% 151.70/151.99 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1905_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2021,plain,
% 151.70/151.99 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_34]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_33,plain,
% 151.70/151.99 ( class_Nat_Osemiring__char__0(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1906_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2019,plain,
% 151.70/151.99 ( class_Nat_Osemiring__char__0(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_33]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_32,plain,
% 151.70/151.99 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1907_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2017,plain,
% 151.70/151.99 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_32]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_31,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1908_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2015,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_31]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_30,plain,
% 151.70/151.99 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1909_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2013,plain,
% 151.70/151.99 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_30]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_29,plain,
% 151.70/151.99 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1910_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2011,plain,
% 151.70/151.99 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_29]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_28,plain,
% 151.70/151.99 ( class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1911_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2009,plain,
% 151.70/151.99 ( class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_28]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_27,plain,
% 151.70/151.99 ( class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1912_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2007,plain,
% 151.70/151.99 ( class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_27]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_26,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1913_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2005,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_26]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_25,plain,
% 151.70/151.99 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1914_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2003,plain,
% 151.70/151.99 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_25]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_24,plain,
% 151.70/151.99 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1915_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2001,plain,
% 151.70/151.99 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_24]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_23,plain,
% 151.70/151.99 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1916_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1999,plain,
% 151.70/151.99 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_23]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_22,plain,
% 151.70/151.99 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1917_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1997,plain,
% 151.70/151.99 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_22]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_21,plain,
% 151.70/151.99 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1918_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1995,plain,
% 151.70/151.99 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_21]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_20,plain,
% 151.70/151.99 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1919_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1993,plain,
% 151.70/151.99 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_20]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_19,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1920_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1991,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_19]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_18,plain,
% 151.70/151.99 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1921_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1989,plain,
% 151.70/151.99 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_18]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_17,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1922_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1987,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_17]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_16,plain,
% 151.70/151.99 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1923_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1985,plain,
% 151.70/151.99 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_16]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_15,plain,
% 151.70/151.99 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1924_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1983,plain,
% 151.70/151.99 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_15]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_14,plain,
% 151.70/151.99 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1925_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1981,plain,
% 151.70/151.99 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_14]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_13,plain,
% 151.70/151.99 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1926_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1979,plain,
% 151.70/151.99 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_13]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_12,plain,
% 151.70/151.99 ( class_Power_Opower(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1927_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1977,plain,
% 151.70/151.99 ( class_Power_Opower(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_12]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_11,plain,
% 151.70/151.99 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1928_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1975,plain,
% 151.70/151.99 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_11]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_10,plain,
% 151.70/151.99 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1929_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1973,plain,
% 151.70/151.99 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_10]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_9,plain,
% 151.70/151.99 ( class_Divides_Osemiring__div(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1930_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1971,plain,
% 151.70/151.99 ( class_Divides_Osemiring__div(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_9]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_8,plain,
% 151.70/151.99 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1931_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1969,plain,
% 151.70/151.99 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_8]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_7,plain,
% 151.70/151.99 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1932_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1967,plain,
% 151.70/151.99 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_7]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_6,plain,
% 151.70/151.99 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1933_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1965,plain,
% 151.70/151.99 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_6]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_5,plain,
% 151.70/151.99 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1934_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1963,plain,
% 151.70/151.99 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_5]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_4,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1935_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1961,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_4]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_3,plain,
% 151.70/151.99 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1936_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1959,plain,
% 151.70/151.99 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_3]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_2,plain,
% 151.70/151.99 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1937_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1957,plain,
% 151.70/151.99 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_2]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1938_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1955,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_1]) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_0,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 151.70/151.99 file('/export/starexec/sandbox2/tmp/iprover_modulo_968a48.p', c_0_1939_0) ).
% 151.70/151.99
% 151.70/151.99 cnf(c_1953,plain,
% 151.70/151.99 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 151.70/151.99 inference(copy,[status(esa)],[c_0]) ).
% 151.70/151.99
% 151.70/151.99
% 151.70/151.99
% 151.70/151.99 % ------ Statistics
% 151.70/151.99
% 151.70/151.99 % ------ General
% 151.70/151.99
% 151.70/151.99 % num_of_input_clauses: 858
% 151.70/151.99 % num_of_input_neg_conjectures: 1
% 151.70/151.99 % num_of_splits: 0
% 151.70/151.99 % num_of_split_atoms: 0
% 151.70/151.99 % num_of_sem_filtered_clauses: 0
% 151.70/151.99 % num_of_subtypes: 0
% 151.70/151.99 % monotx_restored_types: 0
% 151.70/151.99 % sat_num_of_epr_types: 0
% 151.70/151.99 % sat_num_of_non_cyclic_types: 0
% 151.70/151.99 % sat_guarded_non_collapsed_types: 0
% 151.70/151.99 % is_epr: 0
% 151.70/151.99 % is_horn: 0
% 151.70/151.99 % has_eq: 1
% 151.70/151.99 % num_pure_diseq_elim: 0
% 151.70/151.99 % simp_replaced_by: 0
% 151.70/151.99 % res_preprocessed: 2
% 151.70/151.99 % prep_upred: 0
% 151.70/151.99 % prep_unflattend: 0
% 151.70/151.99 % pred_elim_cands: 0
% 151.70/151.99 % pred_elim: 0
% 151.70/151.99 % pred_elim_cl: 0
% 151.70/151.99 % pred_elim_cycles: 0
% 151.70/151.99 % forced_gc_time: 0
% 151.70/151.99 % gc_basic_clause_elim: 0
% 151.70/151.99 % parsing_time: 0.022
% 151.70/151.99 % sem_filter_time: 0.
% 151.70/151.99 % pred_elim_time: 0.
% 151.70/151.99 % out_proof_time: 0.
% 151.70/151.99 % monotx_time: 0.
% 151.70/151.99 % subtype_inf_time: 0.
% 151.70/151.99 % unif_index_cands_time: 0.
% 151.70/151.99 % unif_index_add_time: 0.
% 151.70/151.99 % total_time: 1.401
% 151.70/151.99 % num_of_symbols: 76
% 151.70/151.99 % num_of_terms: 1600
% 151.70/151.99
% 151.70/151.99 % ------ Propositional Solver
% 151.70/151.99
% 151.70/151.99 % prop_solver_calls: 1
% 151.70/151.99 % prop_fast_solver_calls: 3
% 151.70/151.99 % prop_num_of_clauses: 749
% 151.70/151.99 % prop_preprocess_simplified: 2587
% 151.70/151.99 % prop_fo_subsumed: 0
% 151.70/151.99 % prop_solver_time: 0.
% 151.70/151.99 % prop_fast_solver_time: 0.
% 151.70/151.99 % prop_unsat_core_time: 0.
% 151.70/151.99
% 151.70/151.99 % ------ QBF
% 151.70/151.99
% 151.70/151.99 % qbf_q_res: 0
% 151.70/151.99 % qbf_num_tautologies: 0
% 151.70/151.99 % qbf_prep_cycles: 0
% 151.70/151.99
% 151.70/151.99 % ------ BMC1
% 151.70/151.99
% 151.70/151.99 % bmc1_current_bound: -1
% 151.70/151.99 % bmc1_last_solved_bound: -1
% 151.70/151.99 % bmc1_unsat_core_size: -1
% 151.70/151.99 % bmc1_unsat_core_parents_size: -1
% 151.70/151.99 % bmc1_merge_next_fun: 0
% 151.70/151.99 % bmc1_unsat_core_clauses_time: 0.
% 151.70/151.99
% 151.70/151.99 % ------ Instantiation
% 151.70/151.99
% 151.70/151.99 % inst_num_of_clauses: 718
% 151.70/151.99 % inst_num_in_passive: 0
% 151.70/151.99 % inst_num_in_active: 0
% 151.70/151.99 % inst_num_in_unprocessed: 858
% 151.70/151.99 % inst_num_of_loops: 0
% 151.70/151.99 % inst_num_of_learning_restarts: 0
% 151.70/151.99 % inst_num_moves_active_passive: 0
% 151.70/151.99 % inst_lit_activity: 0
% 151.70/151.99 % inst_lit_activity_moves: 0
% 151.70/151.99 % inst_num_tautologies: 0
% 151.70/151.99 % inst_num_prop_implied: 0
% 151.70/151.99 % inst_num_existing_simplified: 0
% 151.70/151.99 % inst_num_eq_res_simplified: 0
% 151.70/151.99 % inst_num_child_elim: 0
% 151.70/151.99 % inst_num_of_dismatching_blockings: 0
% 151.70/151.99 % inst_num_of_non_proper_insts: 0
% 151.70/151.99 % inst_num_of_duplicates: 0
% 151.70/151.99 % inst_inst_num_from_inst_to_res: 0
% 151.70/151.99 % inst_dismatching_checking_time: 0.
% 151.70/151.99
% 151.70/151.99 % ------ Resolution
% 151.70/151.99
% 151.70/151.99 % res_num_of_clauses: 766
% 151.70/151.99 % res_num_in_passive: 0
% 151.70/151.99 % res_num_in_active: 320
% 151.70/151.99 % res_num_of_loops: 2
% 151.70/151.99 % res_forward_subset_subsumed: 498
% 151.70/151.99 % res_backward_subset_subsumed: 0
% 151.70/151.99 % res_forward_subsumed: 0
% 151.70/151.99 % res_backward_subsumed: 0
% 151.70/151.99 % res_forward_subsumption_resolution: 0
% 151.70/151.99 % res_backward_subsumption_resolution: 0
% 151.70/151.99 % res_clause_to_clause_subsumption: 0
% 151.70/151.99 % res_orphan_elimination: 0
% 151.70/151.99 % res_tautology_del: 0
% 151.70/151.99 % res_num_eq_res_simplified: 0
% 151.70/151.99 % res_num_sel_changes: 0
% 151.70/151.99 % res_moves_from_active_to_pass: 0
% 151.70/151.99
% 151.70/151.99 % Status Unknown
% 151.70/152.00 % Last status :
% 151.70/152.00 % SZS status Unknown
%------------------------------------------------------------------------------