TSTP Solution File: SWV599-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV599-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 19:20:39 EDT 2022
% Result : Unknown 1.00s 1.24s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SWV599-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.10 % Command : iprover_modulo %s %d
% 0.10/0.30 % Computer : n020.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Thu Jun 16 06:29:19 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Running in mono-core mode
% 0.15/0.44 % Orienting using strategy Equiv(ClausalAll)
% 0.15/0.44 % Orientation found
% 0.15/0.44 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e6fee4.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e740eb.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_1402dd | grep -v "SZS"
% 0.15/0.46
% 0.15/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.15/0.46
% 0.15/0.46 %
% 0.15/0.46 % ------ iProver source info
% 0.15/0.46
% 0.15/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.15/0.46 % git: non_committed_changes: true
% 0.15/0.46 % git: last_make_outside_of_git: true
% 0.15/0.46
% 0.15/0.46 %
% 0.15/0.46 % ------ Input Options
% 0.15/0.46
% 0.15/0.46 % --out_options all
% 0.15/0.46 % --tptp_safe_out true
% 0.15/0.46 % --problem_path ""
% 0.15/0.46 % --include_path ""
% 0.15/0.46 % --clausifier .//eprover
% 0.15/0.46 % --clausifier_options --tstp-format
% 0.15/0.46 % --stdin false
% 0.15/0.46 % --dbg_backtrace false
% 0.15/0.46 % --dbg_dump_prop_clauses false
% 0.15/0.46 % --dbg_dump_prop_clauses_file -
% 0.15/0.46 % --dbg_out_stat false
% 0.15/0.46
% 0.15/0.46 % ------ General Options
% 0.15/0.46
% 0.15/0.46 % --fof false
% 0.15/0.46 % --time_out_real 150.
% 0.15/0.46 % --time_out_prep_mult 0.2
% 0.15/0.46 % --time_out_virtual -1.
% 0.15/0.46 % --schedule none
% 0.15/0.46 % --ground_splitting input
% 0.15/0.46 % --splitting_nvd 16
% 0.15/0.46 % --non_eq_to_eq false
% 0.15/0.46 % --prep_gs_sim true
% 0.15/0.46 % --prep_unflatten false
% 0.15/0.46 % --prep_res_sim true
% 0.15/0.46 % --prep_upred true
% 0.15/0.46 % --res_sim_input true
% 0.15/0.46 % --clause_weak_htbl true
% 0.15/0.46 % --gc_record_bc_elim false
% 0.15/0.46 % --symbol_type_check false
% 0.15/0.46 % --clausify_out false
% 0.15/0.46 % --large_theory_mode false
% 0.15/0.46 % --prep_sem_filter none
% 0.15/0.46 % --prep_sem_filter_out false
% 0.15/0.46 % --preprocessed_out false
% 0.15/0.46 % --sub_typing false
% 0.15/0.46 % --brand_transform false
% 0.15/0.46 % --pure_diseq_elim true
% 0.15/0.46 % --min_unsat_core false
% 0.15/0.46 % --pred_elim true
% 0.15/0.46 % --add_important_lit false
% 0.15/0.46 % --soft_assumptions false
% 0.15/0.46 % --reset_solvers false
% 0.15/0.46 % --bc_imp_inh []
% 0.15/0.46 % --conj_cone_tolerance 1.5
% 0.15/0.46 % --prolific_symb_bound 500
% 0.15/0.46 % --lt_threshold 2000
% 0.15/0.46
% 0.15/0.46 % ------ SAT Options
% 0.15/0.46
% 0.15/0.46 % --sat_mode false
% 0.15/0.46 % --sat_fm_restart_options ""
% 0.15/0.46 % --sat_gr_def false
% 0.15/0.46 % --sat_epr_types true
% 0.15/0.46 % --sat_non_cyclic_types false
% 0.15/0.46 % --sat_finite_models false
% 0.15/0.46 % --sat_fm_lemmas false
% 0.15/0.46 % --sat_fm_prep false
% 0.15/0.46 % --sat_fm_uc_incr true
% 0.15/0.46 % --sat_out_model small
% 0.15/0.46 % --sat_out_clauses false
% 0.15/0.46
% 0.15/0.46 % ------ QBF Options
% 0.15/0.46
% 0.15/0.46 % --qbf_mode false
% 0.15/0.46 % --qbf_elim_univ true
% 0.15/0.46 % --qbf_sk_in true
% 0.15/0.46 % --qbf_pred_elim true
% 0.15/0.46 % --qbf_split 32
% 0.15/0.46
% 0.15/0.46 % ------ BMC1 Options
% 0.15/0.46
% 0.15/0.46 % --bmc1_incremental false
% 0.15/0.46 % --bmc1_axioms reachable_all
% 0.15/0.46 % --bmc1_min_bound 0
% 0.15/0.46 % --bmc1_max_bound -1
% 0.15/0.46 % --bmc1_max_bound_default -1
% 0.15/0.46 % --bmc1_symbol_reachability true
% 0.15/0.46 % --bmc1_property_lemmas false
% 0.15/0.46 % --bmc1_k_induction false
% 0.15/0.46 % --bmc1_non_equiv_states false
% 0.15/0.46 % --bmc1_deadlock false
% 0.15/0.46 % --bmc1_ucm false
% 0.15/0.46 % --bmc1_add_unsat_core none
% 0.15/0.46 % --bmc1_unsat_core_children false
% 0.15/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.15/0.46 % --bmc1_out_stat full
% 0.15/0.46 % --bmc1_ground_init false
% 0.15/0.46 % --bmc1_pre_inst_next_state false
% 0.15/0.46 % --bmc1_pre_inst_state false
% 0.15/0.46 % --bmc1_pre_inst_reach_state false
% 0.15/0.46 % --bmc1_out_unsat_core false
% 0.15/0.46 % --bmc1_aig_witness_out false
% 0.15/0.46 % --bmc1_verbose false
% 0.15/0.46 % --bmc1_dump_clauses_tptp false
% 0.56/0.77 % --bmc1_dump_unsat_core_tptp false
% 0.56/0.77 % --bmc1_dump_file -
% 0.56/0.77 % --bmc1_ucm_expand_uc_limit 128
% 0.56/0.77 % --bmc1_ucm_n_expand_iterations 6
% 0.56/0.77 % --bmc1_ucm_extend_mode 1
% 0.56/0.77 % --bmc1_ucm_init_mode 2
% 0.56/0.77 % --bmc1_ucm_cone_mode none
% 0.56/0.77 % --bmc1_ucm_reduced_relation_type 0
% 0.56/0.77 % --bmc1_ucm_relax_model 4
% 0.56/0.77 % --bmc1_ucm_full_tr_after_sat true
% 0.56/0.77 % --bmc1_ucm_expand_neg_assumptions false
% 0.56/0.77 % --bmc1_ucm_layered_model none
% 0.56/0.77 % --bmc1_ucm_max_lemma_size 10
% 0.56/0.77
% 0.56/0.77 % ------ AIG Options
% 0.56/0.77
% 0.56/0.77 % --aig_mode false
% 0.56/0.77
% 0.56/0.77 % ------ Instantiation Options
% 0.56/0.77
% 0.56/0.77 % --instantiation_flag true
% 0.56/0.77 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.56/0.77 % --inst_solver_per_active 750
% 0.56/0.77 % --inst_solver_calls_frac 0.5
% 0.56/0.77 % --inst_passive_queue_type priority_queues
% 0.56/0.77 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.56/0.77 % --inst_passive_queues_freq [25;2]
% 0.56/0.77 % --inst_dismatching true
% 0.56/0.77 % --inst_eager_unprocessed_to_passive true
% 0.56/0.77 % --inst_prop_sim_given true
% 0.56/0.77 % --inst_prop_sim_new false
% 0.56/0.77 % --inst_orphan_elimination true
% 0.56/0.77 % --inst_learning_loop_flag true
% 0.56/0.77 % --inst_learning_start 3000
% 0.56/0.77 % --inst_learning_factor 2
% 0.56/0.77 % --inst_start_prop_sim_after_learn 3
% 0.56/0.77 % --inst_sel_renew solver
% 0.56/0.77 % --inst_lit_activity_flag true
% 0.56/0.77 % --inst_out_proof true
% 0.56/0.77
% 0.56/0.77 % ------ Resolution Options
% 0.56/0.77
% 0.56/0.77 % --resolution_flag true
% 0.56/0.77 % --res_lit_sel kbo_max
% 0.56/0.77 % --res_to_prop_solver none
% 0.56/0.77 % --res_prop_simpl_new false
% 0.56/0.77 % --res_prop_simpl_given false
% 0.56/0.77 % --res_passive_queue_type priority_queues
% 0.56/0.77 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.56/0.77 % --res_passive_queues_freq [15;5]
% 0.56/0.77 % --res_forward_subs full
% 0.56/0.77 % --res_backward_subs full
% 0.56/0.77 % --res_forward_subs_resolution true
% 0.56/0.77 % --res_backward_subs_resolution true
% 0.56/0.77 % --res_orphan_elimination false
% 0.56/0.77 % --res_time_limit 1000.
% 0.56/0.77 % --res_out_proof true
% 0.56/0.77 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e6fee4.s
% 0.56/0.77 % --modulo true
% 0.56/0.77
% 0.56/0.77 % ------ Combination Options
% 0.56/0.77
% 0.56/0.77 % --comb_res_mult 1000
% 0.56/0.77 % --comb_inst_mult 300
% 0.56/0.77 % ------
% 0.56/0.77
% 0.56/0.77 % ------ Parsing...% successful
% 0.56/0.77
% 0.56/0.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.56/0.77
% 0.56/0.77 % ------ Proving...
% 0.56/0.77 % ------ Problem Properties
% 0.56/0.77
% 0.56/0.77 %
% 0.56/0.77 % EPR false
% 0.56/0.77 % Horn false
% 0.56/0.77 % Has equality true
% 0.56/0.77
% 0.56/0.77 % % ------ Input Options Time Limit: Unbounded
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 Compiling...
% 0.56/0.77 Loading plugin: done.
% 0.56/0.77 Compiling...
% 0.56/0.77 Loading plugin: done.
% 0.56/0.77 % % ------ Current options:
% 0.56/0.77
% 0.56/0.77 % ------ Input Options
% 0.56/0.77
% 0.56/0.77 % --out_options all
% 0.56/0.77 % --tptp_safe_out true
% 0.56/0.77 % --problem_path ""
% 0.56/0.77 % --include_path ""
% 0.56/0.77 % --clausifier .//eprover
% 0.56/0.77 % --clausifier_options --tstp-format
% 0.56/0.77 % --stdin false
% 0.56/0.77 % --dbg_backtrace false
% 0.56/0.77 % --dbg_dump_prop_clauses false
% 0.56/0.77 % --dbg_dump_prop_clauses_file -
% 0.56/0.77 % --dbg_out_stat false
% 0.56/0.77
% 0.56/0.77 % ------ General Options
% 0.56/0.77
% 0.56/0.77 % --fof false
% 0.56/0.77 % --time_out_real 150.
% 0.56/0.77 % --time_out_prep_mult 0.2
% 0.56/0.77 % --time_out_virtual -1.
% 0.56/0.77 % --schedule none
% 0.56/0.77 % --ground_splitting input
% 0.56/0.77 % --splitting_nvd 16
% 0.56/0.77 % --non_eq_to_eq false
% 0.56/0.77 % --prep_gs_sim true
% 0.56/0.77 % --prep_unflatten false
% 0.56/0.77 % --prep_res_sim true
% 0.56/0.77 % --prep_upred true
% 0.56/0.77 % --res_sim_input true
% 0.56/0.77 % --clause_weak_htbl true
% 0.56/0.77 % --gc_record_bc_elim false
% 0.56/0.77 % --symbol_type_check false
% 0.56/0.77 % --clausify_out false
% 0.56/0.77 % --large_theory_mode false
% 0.56/0.77 % --prep_sem_filter none
% 0.56/0.77 % --prep_sem_filter_out false
% 0.56/0.77 % --preprocessed_out false
% 0.56/0.77 % --sub_typing false
% 0.56/0.77 % --brand_transform false
% 0.56/0.77 % --pure_diseq_elim true
% 0.56/0.77 % --min_unsat_core false
% 0.56/0.77 % --pred_elim true
% 0.56/0.77 % --add_important_lit false
% 0.56/0.77 % --soft_assumptions false
% 0.56/0.77 % --reset_solvers false
% 0.56/0.77 % --bc_imp_inh []
% 0.56/0.77 % --conj_cone_tolerance 1.5
% 0.56/0.77 % --prolific_symb_bound 500
% 0.56/0.77 % --lt_threshold 2000
% 0.56/0.77
% 0.56/0.77 % ------ SAT Options
% 0.56/0.77
% 0.56/0.77 % --sat_mode false
% 0.56/0.77 % --sat_fm_restart_options ""
% 0.56/0.77 % --sat_gr_def false
% 0.56/0.77 % --sat_epr_types true
% 0.56/0.77 % --sat_non_cyclic_types false
% 0.56/0.77 % --sat_finite_models false
% 0.56/0.77 % --sat_fm_lemmas false
% 0.56/0.77 % --sat_fm_prep false
% 0.56/0.77 % --sat_fm_uc_incr true
% 0.56/0.77 % --sat_out_model small
% 0.56/0.77 % --sat_out_clauses false
% 0.56/0.77
% 0.56/0.77 % ------ QBF Options
% 0.56/0.77
% 0.56/0.77 % --qbf_mode false
% 0.56/0.77 % --qbf_elim_univ true
% 0.56/0.77 % --qbf_sk_in true
% 0.56/0.77 % --qbf_pred_elim true
% 0.56/0.77 % --qbf_split 32
% 0.56/0.77
% 0.56/0.77 % ------ BMC1 Options
% 0.56/0.77
% 0.56/0.77 % --bmc1_incremental false
% 0.56/0.77 % --bmc1_axioms reachable_all
% 0.56/0.77 % --bmc1_min_bound 0
% 0.56/0.77 % --bmc1_max_bound -1
% 0.56/0.77 % --bmc1_max_bound_default -1
% 0.56/0.77 % --bmc1_symbol_reachability true
% 0.56/0.77 % --bmc1_property_lemmas false
% 0.56/0.77 % --bmc1_k_induction false
% 0.56/0.77 % --bmc1_non_equiv_states false
% 0.56/0.77 % --bmc1_deadlock false
% 0.56/0.77 % --bmc1_ucm false
% 0.56/0.77 % --bmc1_add_unsat_core none
% 0.56/0.77 % --bmc1_unsat_core_children false
% 0.56/0.77 % --bmc1_unsat_core_extrapolate_axioms false
% 0.56/0.77 % --bmc1_out_stat full
% 0.56/0.77 % --bmc1_ground_init false
% 0.56/0.77 % --bmc1_pre_inst_next_state false
% 0.56/0.77 % --bmc1_pre_inst_state false
% 0.56/0.77 % --bmc1_pre_inst_reach_state false
% 0.56/0.77 % --bmc1_out_unsat_core false
% 0.56/0.77 % --bmc1_aig_witness_out false
% 0.56/0.77 % --bmc1_verbose false
% 0.56/0.77 % --bmc1_dump_clauses_tptp false
% 0.56/0.77 % --bmc1_dump_unsat_core_tptp false
% 0.56/0.77 % --bmc1_dump_file -
% 0.56/0.77 % --bmc1_ucm_expand_uc_limit 128
% 0.56/0.77 % --bmc1_ucm_n_expand_iterations 6
% 0.56/0.77 % --bmc1_ucm_extend_mode 1
% 0.56/0.77 % --bmc1_ucm_init_mode 2
% 0.56/0.77 % --bmc1_ucm_cone_mode none
% 0.56/0.77 % --bmc1_ucm_reduced_relation_type 0
% 0.56/0.77 % --bmc1_ucm_relax_model 4
% 0.56/0.77 % --bmc1_ucm_full_tr_after_sat true
% 0.56/0.77 % --bmc1_ucm_expand_neg_assumptions false
% 0.56/0.77 % --bmc1_ucm_layered_model none
% 0.56/0.77 % --bmc1_ucm_max_lemma_size 10
% 0.56/0.77
% 0.56/0.77 % ------ AIG Options
% 0.56/0.77
% 0.56/0.77 % --aig_mode false
% 0.56/0.77
% 0.56/0.77 % ------ Instantiation Options
% 0.56/0.77
% 0.56/0.77 % --instantiation_flag true
% 0.56/0.77 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.56/0.77 % --inst_solver_per_active 750
% 0.56/0.77 % --inst_solver_calls_frac 0.5
% 0.56/0.77 % --inst_passive_queue_type priority_queues
% 0.56/0.77 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.56/0.77 % --inst_passive_queues_freq [25;2]
% 0.56/0.77 % --inst_dismatching true
% 0.56/0.77 % --inst_eager_unprocessed_to_passive true
% 0.56/0.77 % --inst_prop_sim_given true
% 0.56/0.77 % --inst_prop_sim_new false
% 0.56/0.77 % --inst_orphan_elimination true
% 0.56/0.77 % --inst_learning_loop_flag true
% 0.56/0.77 % --inst_learning_start 3000
% 0.56/0.77 % --inst_learning_factor 2
% 0.56/0.77 % --inst_start_prop_sim_after_learn 3
% 0.56/0.77 % --inst_sel_renew solver
% 0.56/0.77 % --inst_lit_activity_flag true
% 0.56/0.77 % --inst_out_proof true
% 0.56/0.77
% 0.56/0.77 % ------ Resolution Options
% 0.56/0.77
% 0.56/0.77 % --resolution_flag true
% 0.56/0.77 % --res_lit_sel kbo_max
% 0.56/0.77 % --res_to_prop_solver none
% 0.56/0.77 % --res_prop_simpl_new false
% 0.56/0.77 % --res_prop_simpl_given false
% 0.56/0.77 % --res_passive_queue_type priority_queues
% 0.56/0.77 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.56/0.77 % --res_passive_queues_freq [15;5]
% 0.56/0.77 % --res_forward_subs full
% 0.56/0.77 % --res_backward_subs full
% 0.56/0.77 % --res_forward_subs_resolution true
% 0.56/0.77 % --res_backward_subs_resolution true
% 0.56/0.77 % --res_orphan_elimination false
% 0.56/0.77 % --res_time_limit 1000.
% 0.56/0.77 % --res_out_proof true
% 0.56/0.77 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e6fee4.s
% 0.56/0.77 % --modulo true
% 0.56/0.77
% 0.56/0.77 % ------ Combination Options
% 0.56/0.77
% 0.56/0.77 % --comb_res_mult 1000
% 0.56/0.77 % --comb_inst_mult 300
% 0.56/0.77 % ------
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 % ------ Proving...
% 0.56/0.77 % warning: shown sat in sat incomplete mode
% 0.56/0.77 %
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 cnf(c_990,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 0.56/0.77 | ~ c_Int_Oiszero(X1,X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1966_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4551,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 0.56/0.77 | ~ c_Int_Oiszero(X1,X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_990]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4552,plain,
% 0.56/0.77 ( ~ c_Int_Oiszero(X0,X1)
% 0.56/0.77 | ~ class_Ring__and__Field_Osemiring__1(X1)
% 0.56/0.77 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_4551]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_978,plain,
% 0.56/0.77 ( ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1962_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4527,plain,
% 0.56/0.77 ( ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_978]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4528,plain,
% 0.56/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_4527]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_955,plain,
% 0.56/0.77 ( ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1954_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4481,plain,
% 0.56/0.77 ( ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_955]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4482,plain,
% 0.56/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_4481]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_906,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.56/0.77 | X1 = X2
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1936_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4383,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.56/0.77 | X1 = X2
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_906]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4384,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X1 = X2 ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_4383]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_808,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1889_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4187,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_808]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4188,plain,
% 0.56/0.77 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_4187]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_805,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1888_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4181,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.77 inference(copy,[status(esa)],[c_805]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4182,plain,
% 0.56/0.77 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_4181]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_754,plain,
% 0.56/0.77 ( ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1868_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4079,plain,
% 0.56/0.77 ( ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_754]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4080,plain,
% 0.56/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_4079]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_751,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1867_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4073,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_751]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4074,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Oordered__field(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_4073]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_722,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.77 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1857_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4015,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.77 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_722]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4016,plain,
% 0.56/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 0.56/0.77 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_4015]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_714,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1855_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3999,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_714]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_4000,plain,
% 0.56/0.77 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3999]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_711,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1854_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3993,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_711]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3994,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3993]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_707,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X1 = X2 ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1853_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3985,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X1 = X2 ),
% 0.56/0.77 inference(copy,[status(esa)],[c_707]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3986,plain,
% 0.56/0.77 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X1 = X2 ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3985]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_664,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Omult__zero(X0)
% 0.56/0.77 | ~ class_Power_Opower(X0)
% 0.56/0.77 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1838_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3899,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Omult__zero(X0)
% 0.56/0.77 | ~ class_Power_Opower(X0)
% 0.56/0.77 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_664]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3900,plain,
% 0.56/0.77 ( ~ class_Power_Opower(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Omult__zero(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.56/0.77 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3899]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_642,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1828_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3855,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_642]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3856,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.77 | c_Divides_Odiv__class_Omod(X1,X0,X2) = c_HOL_Ozero__class_Ozero(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3855]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_639,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1827_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3849,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_639]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3850,plain,
% 0.56/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.77 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3849]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_542,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.56/0.77 | X2 = X3 ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1792_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3655,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.56/0.77 | X2 = X3 ),
% 0.56/0.77 inference(copy,[status(esa)],[c_542]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3656,plain,
% 0.56/0.77 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.56/0.77 | X2 = X3 ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3655]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_539,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1791_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3649,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_539]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3650,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3649]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_536,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1790_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3643,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_536]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3644,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.56/0.77 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3643]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_533,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1789_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3637,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_533]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3638,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.56/0.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3637]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_530,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1788_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3631,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_530]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3632,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3631]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_454,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1755_1) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3479,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_454]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3480,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.56/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3479]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_453,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1755_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3477,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_453]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3478,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.56/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3477]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_441,plain,
% 0.56/0.77 ( ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1751_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3453,plain,
% 0.56/0.77 ( ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_441]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3454,plain,
% 0.56/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3453]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_438,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1750_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3447,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_438]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3448,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Oordered__field(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3447]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_435,plain,
% 0.56/0.77 ( ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1749_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3441,plain,
% 0.56/0.77 ( ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_435]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3442,plain,
% 0.56/0.77 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.77 | ~ class_SEQ_Obanach(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3441]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_418,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1743_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3407,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 0.56/0.77 inference(copy,[status(esa)],[c_418]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3408,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X0,X2) = X1 ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3407]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_415,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1742_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3401,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 0.56/0.77 inference(copy,[status(esa)],[c_415]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3402,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1 ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3401]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_409,plain,
% 0.56/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1740_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3389,plain,
% 0.56/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_409]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3390,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Divides_Oring__div(X2)
% 0.56/0.77 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X1,X2),X0,X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3389]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_406,plain,
% 0.56/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1739_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3383,plain,
% 0.56/0.77 ( ~ class_Divides_Oring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_406]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3384,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Divides_Oring__div(X2)
% 0.56/0.77 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3383]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_401,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1738_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3373,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_401]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3374,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3373]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_398,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1737_2) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3367,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_398]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3368,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.56/0.77 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3367]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_396,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.56/0.77 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1737_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3363,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.56/0.77 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_396]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3364,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.56/0.77 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3363]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_385,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1732_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3341,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_385]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3342,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.77 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X3,X0,X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3341]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_382,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1731_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3335,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_382]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3336,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.56/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3335]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_379,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1730_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3329,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_379]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3330,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3329]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_293,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1693_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3157,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_293]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3158,plain,
% 0.56/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.56/0.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3157]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_289,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1692_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3149,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_289]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3150,plain,
% 0.56/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.56/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3149]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_254,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1680_2) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3079,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_254]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3080,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X3) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3079]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_252,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1680_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3075,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_252]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3076,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X3) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3075]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_249,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1679_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3069,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_249]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_3070,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.77 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X3,X2) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X0,X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_3069]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_179,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1647_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2929,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_179]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2930,plain,
% 0.56/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2929]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_175,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1646_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2921,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_175]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2922,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.56/0.77 | ~ class_Ring__and__Field_Oidom(X2)
% 0.56/0.77 | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2921]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_171,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1645_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2913,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_171]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2914,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.77 | ~ class_Ring__and__Field_Oidom(X2)
% 0.56/0.77 | X1 = c_HOL_Ozero__class_Ozero(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2913]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_160,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1640_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2891,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_160]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2892,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.77 | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X1,X3,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X1,X0,X2),X3,X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2891]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_155,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 0.56/0.77 | X3 = X4
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1639_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2881,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 0.56/0.77 | X3 = X4
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_155]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2882,plain,
% 0.56/0.77 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 0.56/0.77 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.77 | X3 = X4 ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2881]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_152,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1638_2) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2875,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_152]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2876,plain,
% 0.56/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2875]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_150,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1638_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2871,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_150]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2872,plain,
% 0.56/0.77 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2871]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_114,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1622_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2799,plain,
% 0.56/0.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_114]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2800,plain,
% 0.56/0.77 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.77 | ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2799]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_89,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1615_2) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2749,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_89]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2750,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X0,X2),c_Divides_Odiv__class_Odiv(X3,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X0,X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2749]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_87,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1615_0) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2745,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_87]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2746,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.77 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X0,X2),c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X0,X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2745]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_80,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1612_2) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2731,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.56/0.77 inference(copy,[status(esa)],[c_80]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_2732,plain,
% 0.56/0.77 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.56/0.77 | ~ class_Divides_Osemiring__div(X2) ),
% 0.56/0.77 inference(rewriting,[status(thm)],[c_2731]) ).
% 0.56/0.77
% 0.56/0.77 cnf(c_79,plain,
% 0.56/0.77 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.56/0.77 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.56/0.77 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1612_1) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2729,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.56/0.78 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_79]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2730,plain,
% 0.56/0.78 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.56/0.78 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.56/0.78 | ~ class_Divides_Osemiring__div(X2) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2729]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_78,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.56/0.78 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1612_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2727,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.56/0.78 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_78]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2728,plain,
% 0.56/0.78 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.56/0.78 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.78 | ~ class_Divides_Osemiring__div(X2) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2727]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_74,plain,
% 0.56/0.78 ( ~ class_Divides_Oring__div(X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1611_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2719,plain,
% 0.56/0.78 ( ~ class_Divides_Oring__div(X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_74]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2720,plain,
% 0.56/0.78 ( ~ class_Divides_Oring__div(X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2719]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_70,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1610_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2711,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_70]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2712,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2711]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_66,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1609_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2703,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_66]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2704,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.56/0.78 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2703]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_64,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X4,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1608_2) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2699,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X4,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_64]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2700,plain,
% 0.56/0.78 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 0.56/0.78 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.78 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),c_Divides_Odiv__class_Odiv(X4,X3,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2699]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_62,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 0.56/0.78 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1608_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2695,plain,
% 0.56/0.78 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 0.56/0.78 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_62]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2696,plain,
% 0.56/0.78 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 0.56/0.78 | ~ class_Divides_Osemiring__div(X2)
% 0.56/0.78 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X2),c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2695]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_47,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.78 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.56/0.78 | X1 = X3
% 0.56/0.78 | X2 = X4 ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1603_1) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2665,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.78 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.56/0.78 | X1 = X3
% 0.56/0.78 | X2 = X4 ),
% 0.56/0.78 inference(copy,[status(esa)],[c_47]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2666,plain,
% 0.56/0.78 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.56/0.78 | X1 = X3
% 0.56/0.78 | X2 = X4 ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2665]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_46,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.78 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.56/0.78 | X2 = X4
% 0.56/0.78 | X1 = X3 ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1603_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2663,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.78 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.56/0.78 | X2 = X4
% 0.56/0.78 | X1 = X3 ),
% 0.56/0.78 inference(copy,[status(esa)],[c_46]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2664,plain,
% 0.56/0.78 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.78 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.56/0.78 | X2 = X4
% 0.56/0.78 | X1 = X3 ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2663]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_13,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 0.56/0.78 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X5,X4,X0),X0),X3,X0),X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1592_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2597,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 0.56/0.78 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X5,X4,X0),X0),X3,X0),X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_13]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2598,plain,
% 0.56/0.78 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 0.56/0.78 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 0.56/0.78 | ~ class_Ring__and__Field_Odvd(X4) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2597]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_8,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 0.56/0.78 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1591_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2587,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0)
% 0.56/0.78 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_8]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_2588,plain,
% 0.56/0.78 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 0.56/0.78 | c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 0.56/0.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 0.56/0.78 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 0.56/0.78 | ~ class_Ring__and__Field_Odvd(X4) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_2587]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1118,negated_conjecture,
% 0.56/0.78 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_4) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1445,negated_conjecture,
% 0.56/0.78 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1118]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1449,negated_conjecture,
% 0.56/0.78 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1445]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1450,negated_conjecture,
% 0.56/0.78 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1449]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1451,negated_conjecture,
% 0.56/0.78 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1450]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4805,negated_conjecture,
% 0.56/0.78 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1451]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1116,plain,
% 0.56/0.78 ( class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_357_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4802,plain,
% 0.56/0.78 ( class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1116]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1115,plain,
% 0.56/0.78 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_358_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4800,plain,
% 0.56/0.78 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1115]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1114,plain,
% 0.56/0.78 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_359_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4798,plain,
% 0.56/0.78 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1114]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1113,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_360_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4796,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1113]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1112,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_361_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4794,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1112]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1111,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_362_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4792,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1111]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1110,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_363_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4790,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1110]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1109,plain,
% 0.56/0.78 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_364_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4788,plain,
% 0.56/0.78 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1109]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1108,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_365_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4786,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1108]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1107,plain,
% 0.56/0.78 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_366_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4784,plain,
% 0.56/0.78 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1107]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1106,plain,
% 0.56/0.78 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_367_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4782,plain,
% 0.56/0.78 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1106]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1105,plain,
% 0.56/0.78 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_368_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4780,plain,
% 0.56/0.78 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1105]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1104,plain,
% 0.56/0.78 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_369_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4778,plain,
% 0.56/0.78 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1104]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1103,plain,
% 0.56/0.78 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_370_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4776,plain,
% 0.56/0.78 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1103]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1102,plain,
% 0.56/0.78 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_371_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4774,plain,
% 0.56/0.78 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1102]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1101,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_372_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4772,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1101]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1100,plain,
% 0.56/0.78 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_373_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4770,plain,
% 0.56/0.78 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1100]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1099,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_374_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4768,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1099]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1098,plain,
% 0.56/0.78 ( class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_375_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4766,plain,
% 0.56/0.78 ( class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1098]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1097,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_376_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4764,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1097]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1096,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_377_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4762,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1096]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1095,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_378_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4760,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1095]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1094,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_379_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4758,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1094]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1093,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_380_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4756,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1093]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1092,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_381_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4754,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1092]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1091,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_382_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4752,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1091]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1090,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_383_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4750,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1090]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1089,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_384_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4748,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1089]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1088,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_385_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4746,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1088]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1087,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_386_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4744,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1087]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1086,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_387_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4742,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1086]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1085,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_388_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4740,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1085]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1084,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_389_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4738,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1084]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1083,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_390_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4736,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1083]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1082,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_391_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4734,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1082]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1081,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_392_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4732,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1081]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1080,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_393_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4730,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1080]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1079,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_394_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4728,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1079]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1078,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_395_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4726,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1078]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1077,plain,
% 0.56/0.78 ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_396_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4724,plain,
% 0.56/0.78 ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1077]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1076,plain,
% 0.56/0.78 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_397_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4722,plain,
% 0.56/0.78 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1076]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1075,plain,
% 0.56/0.78 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_398_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4720,plain,
% 0.56/0.78 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1075]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1074,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_399_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4718,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1074]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1073,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_400_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4716,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1073]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1072,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_401_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4714,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1072]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1071,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_402_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4712,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1071]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1070,plain,
% 0.56/0.78 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_403_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4710,plain,
% 0.56/0.78 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1070]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1069,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_404_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4708,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1069]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1068,plain,
% 0.56/0.78 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_405_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4706,plain,
% 0.56/0.78 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1068]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1067,plain,
% 0.56/0.78 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_406_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4704,plain,
% 0.56/0.78 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1067]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1066,plain,
% 0.56/0.78 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_407_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4702,plain,
% 0.56/0.78 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1066]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1065,plain,
% 0.56/0.78 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_408_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4700,plain,
% 0.56/0.78 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1065]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1064,plain,
% 0.56/0.78 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_409_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4698,plain,
% 0.56/0.78 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1064]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1063,plain,
% 0.56/0.78 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_410_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4696,plain,
% 0.56/0.78 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1063]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1062,plain,
% 0.56/0.78 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_411_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4694,plain,
% 0.56/0.78 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1062]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1061,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_412_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4692,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1061]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1060,plain,
% 0.56/0.78 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_413_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4690,plain,
% 0.56/0.78 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1060]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1059,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_414_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4688,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1059]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1058,plain,
% 0.56/0.78 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_415_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4686,plain,
% 0.56/0.78 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1058]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1057,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_416_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4684,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1057]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1056,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_417_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4682,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1056]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1055,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_418_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4680,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1055]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1054,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_419_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4678,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1054]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1053,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_420_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4676,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1053]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1052,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_421_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4674,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1052]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1051,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_422_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4672,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1051]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1050,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_423_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4670,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1050]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1049,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_424_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4668,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1049]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1048,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_425_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4666,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1048]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1047,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_426_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4664,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1047]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1046,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_427_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4662,plain,
% 0.56/0.78 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1046]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1045,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_428_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4660,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1045]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1044,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_429_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4658,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1044]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1043,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_430_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4656,plain,
% 0.56/0.78 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1043]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1042,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_431_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4654,plain,
% 0.56/0.78 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1042]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1041,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_432_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4652,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1041]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1040,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_433_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4650,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1040]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1039,plain,
% 0.56/0.78 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_434_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4648,plain,
% 0.56/0.78 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1039]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1038,plain,
% 0.56/0.78 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_435_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4646,plain,
% 0.56/0.78 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1038]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1037,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_436_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4644,plain,
% 0.56/0.78 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1037]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1036,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_437_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4642,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1036]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1035,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_438_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4640,plain,
% 0.56/0.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1035]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1034,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_439_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4638,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1034]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1033,plain,
% 0.56/0.78 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_440_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4636,plain,
% 0.56/0.78 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1033]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1032,plain,
% 0.56/0.78 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_441_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4634,plain,
% 0.56/0.78 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1032]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1031,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_442_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4632,plain,
% 0.56/0.78 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1031]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1029,plain,
% 0.56/0.78 ( c_Complex_Oii != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_444_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4629,plain,
% 0.56/0.78 ( c_Complex_Oii != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1029]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1027,plain,
% 0.56/0.78 ( c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 0.56/0.78 | X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1984_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4625,plain,
% 0.56/0.78 ( c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 0.56/0.78 | X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1027]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1025,plain,
% 0.56/0.78 ( c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) | X0 = X1 ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1983_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4621,plain,
% 0.56/0.78 ( c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) | X0 = X1 ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1025]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1021,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.56/0.78 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1981_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4613,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.56/0.78 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1021]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1019,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 0.56/0.78 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1980_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4609,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 0.56/0.78 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1019]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4610,plain,
% 0.56/0.78 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_4609]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1017,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.56/0.78 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1979_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4605,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.56/0.78 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1017]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1015,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.78 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1978_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4601,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.78 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1015]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1013,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.78 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1977_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4597,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.78 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1013]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1011,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1976_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4593,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1011]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1009,plain,
% 0.56/0.78 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1975_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4589,plain,
% 0.56/0.78 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1009]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1007,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1974_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4585,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1007]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1005,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1973_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4581,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1005]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_1001,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1971_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4573,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_1001]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_999,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1970_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4569,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_999]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_997,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1969_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4565,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_997]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_995,plain,
% 0.56/0.78 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1968_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4561,plain,
% 0.56/0.78 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_995]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_993,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.78 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1967_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4557,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.78 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_993]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_987,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1965_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4545,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_987]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_984,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1964_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4539,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_984]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_981,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1963_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4533,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_981]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_976,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 0.56/0.78 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1961_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4523,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 0.56/0.78 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_976]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4524,plain,
% 0.56/0.78 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_4523]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_973,plain,
% 0.56/0.78 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1960_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4517,plain,
% 0.56/0.78 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_973]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_970,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1959_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4511,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.78 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_970]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_967,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1958_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4505,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 0.56/0.78 inference(copy,[status(esa)],[c_967]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4506,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ozero__class_Ozero(X0) = X1
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(rewriting,[status(thm)],[c_4505]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_964,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1957_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4499,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_964]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_961,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1956_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4493,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_961]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_958,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.56/0.78 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1955_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4487,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.56/0.78 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_958]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_951,plain,
% 0.56/0.78 ( ~ class_Lattices_Oboolean__algebra(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1952_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4473,plain,
% 0.56/0.78 ( ~ class_Lattices_Oboolean__algebra(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 0.56/0.78 inference(copy,[status(esa)],[c_951]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_945,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1949_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4461,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 0.56/0.78 inference(copy,[status(esa)],[c_945]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_941,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1948_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4453,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_941]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_937,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 0.56/0.78 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1947_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4445,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 0.56/0.78 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_937]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_934,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1946_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4439,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 0.56/0.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.78 inference(copy,[status(esa)],[c_934]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_931,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.56/0.78 | X1 = X2 ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1945_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4433,plain,
% 0.56/0.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.56/0.78 | X1 = X2 ),
% 0.56/0.78 inference(copy,[status(esa)],[c_931]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_928,plain,
% 0.56/0.78 ( ~ class_Lattices_Oboolean__algebra(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.56/0.78 | X1 = X2 ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1944_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4427,plain,
% 0.56/0.78 ( ~ class_Lattices_Oboolean__algebra(X0)
% 0.56/0.78 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.56/0.78 | X1 = X2 ),
% 0.56/0.78 inference(copy,[status(esa)],[c_928]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_925,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1943_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4421,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 0.56/0.78 inference(copy,[status(esa)],[c_925]) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_921,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.78 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.56/0.78 | X1 = X2 ),
% 0.56/0.78 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1942_0) ).
% 0.56/0.78
% 0.56/0.78 cnf(c_4413,plain,
% 0.56/0.78 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.78 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.56/0.79 | X1 = X2 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_921]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_919,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.56/0.79 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1941_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4409,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.56/0.79 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_919]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_917,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.56/0.79 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1940_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4405,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.56/0.79 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_917]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_915,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1939_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4401,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_915]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_913,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1938_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4397,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_913]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4398,plain,
% 0.56/0.79 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 0.56/0.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_4397]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_911,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1937_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4393,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_911]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_907,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.56/0.79 | X1 = X2
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1936_1) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4385,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.56/0.79 | X1 = X2
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_907]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4386,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = X2 ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_4385]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_902,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1934_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4375,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_902]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_900,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1933_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4371,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_900]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_898,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1932_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4367,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_898]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_896,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1931_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4363,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_896]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4364,plain,
% 0.56/0.79 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 0.56/0.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_4363]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_894,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1930_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4359,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_894]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4360,plain,
% 0.56/0.79 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_4359]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_890,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1928_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4351,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_890]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_888,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1927_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4347,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_888]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_886,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1926_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4343,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_886]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_884,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1925_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4339,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_884]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_882,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1924_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4335,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_882]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_880,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1923_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4331,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_880]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_878,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1922_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4327,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_878]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_876,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1921_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4323,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_876]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_874,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1920_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4319,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_874]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_870,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1918_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4311,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_870]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_868,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1917_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4307,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_868]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_866,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1916_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4303,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_866]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_864,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1915_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4299,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_864]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_862,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1914_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4295,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_862]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_860,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1913_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4291,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_860]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_857,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1912_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4285,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_857]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_851,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1910_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4273,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_851]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4274,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_4273]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_849,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1909_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4269,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_849]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_847,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1908_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4265,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_847]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_845,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__vector(X0)
% 0.56/0.79 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1907_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4261,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__vector(X0)
% 0.56/0.79 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_845]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_843,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.79 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1906_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4257,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.79 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_843]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_841,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1905_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4253,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_841]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_839,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1904_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4249,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_839]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_837,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1903_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4245,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_837]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_833,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1901_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4237,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_833]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_829,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1899_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4229,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_829]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_825,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1897_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4221,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_825]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_823,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1896_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4217,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_823]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_821,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1895_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4213,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_821]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_819,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1894_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4209,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_819]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_817,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1893_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4205,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_817]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_815,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1892_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4201,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_815]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_813,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1891_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4197,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_813]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_811,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.56/0.79 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1890_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4193,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.56/0.79 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_811]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_803,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1887_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4177,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_803]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_799,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1886_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4169,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_799]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_790,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1883_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4151,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_790]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_788,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1882_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4147,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_788]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_786,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1881_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4143,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_786]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_783,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1880_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4137,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_783]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_781,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.79 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1879_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4133,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.79 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_781]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_779,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.79 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1878_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4129,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.79 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_779]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_774,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.79 | c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1876_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4119,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.79 | c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_774]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_771,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1875_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4113,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_771]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_767,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1873_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4105,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_767]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_765,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1872_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4101,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_765]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_763,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1871_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4097,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_763]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_760,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1870_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4091,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_760]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_757,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1869_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4085,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_757]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_748,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1866_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4067,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_748]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_745,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1865_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4061,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_745]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_742,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1864_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4055,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_742]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_739,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1863_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4049,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_739]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_736,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = X2 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1862_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4043,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = X2 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_736]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_733,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = X2 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1861_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4037,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = X2 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_733]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_731,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1860_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4033,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_731]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_728,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1859_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4027,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_728]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_725,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 0.56/0.79 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1858_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4021,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 0.56/0.79 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_725]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_718,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = X2 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1856_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_4007,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = X2 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_718]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_700,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1851_1) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3971,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_700]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_699,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1851_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3969,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_699]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_696,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1850_1) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3963,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_696]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_695,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1850_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3961,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_695]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_693,plain,
% 0.56/0.79 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1849_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3957,plain,
% 0.56/0.79 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_693]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_690,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1848_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3951,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_690]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_687,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1847_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3945,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_687]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_685,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1846_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3941,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_685]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_682,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1845_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3935,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_682]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_680,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1844_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3931,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_680]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_678,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1843_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3927,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_678]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_674,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1841_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3919,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_674]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_670,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1839_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3911,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_670]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_662,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1837_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3895,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_662]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_660,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__vector(X0)
% 0.56/0.79 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1836_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3891,plain,
% 0.56/0.79 ( ~ class_RealVector_Oreal__vector(X0)
% 0.56/0.79 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_660]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_658,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1835_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3887,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_658]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_656,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1834_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3883,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_656]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_652,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1832_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3875,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_652]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_650,plain,
% 0.56/0.79 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1831_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3871,plain,
% 0.56/0.79 ( ~ class_Int_Onumber__ring(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_650]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_648,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1830_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3867,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_648]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_645,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1829_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3861,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Int_Onumber__ring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_645]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_637,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1826_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3845,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_637]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_635,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1825_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3841,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_635]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_633,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1824_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3837,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oring(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_633]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_631,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1823_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3833,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_631]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_629,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1822_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3829,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_629]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3830,plain,
% 0.56/0.79 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.56/0.79 | ~ class_Ring__and__Field_Odvd(X2) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_3829]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_627,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1821_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3825,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_627]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3826,plain,
% 0.56/0.79 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.56/0.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_3825]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_625,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1820_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3821,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_625]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3822,plain,
% 0.56/0.79 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 0.56/0.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_3821]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_623,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1819_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3817,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_623]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_621,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1818_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3813,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_621]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_619,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1817_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3809,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_619]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_617,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1816_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3805,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_617]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_615,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1815_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3801,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_615]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_612,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1814_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3795,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_612]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_609,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1813_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3789,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_609]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3790,plain,
% 0.56/0.79 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.79 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_3789]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_606,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1812_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3783,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_606]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3784,plain,
% 0.56/0.79 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.56/0.79 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_3783]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_603,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1811_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3777,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_603]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3778,plain,
% 0.56/0.79 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.56/0.79 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_3777]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_600,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1810_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3771,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.79 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_600]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3772,plain,
% 0.56/0.79 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 0.56/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.79 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_3771]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_597,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1809_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3765,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_597]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_594,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1808_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3759,plain,
% 0.56/0.79 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.79 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_594]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_588,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1806_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3747,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_588]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3748,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(rewriting,[status(thm)],[c_3747]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_585,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1805_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3741,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_585]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_582,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 0.56/0.79 | X1 = X3 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1804_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3735,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 0.56/0.79 | X1 = X3 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_582]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_579,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 0.56/0.79 | X1 = X2 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1803_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3729,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 0.56/0.79 | X1 = X2 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_579]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_576,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 0.56/0.79 | X2 = X3 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1802_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3723,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 0.56/0.79 | X2 = X3 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_576]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_573,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.56/0.79 | X2 = X3 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1801_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3717,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.56/0.79 | X2 = X3 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_573]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_570,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.56/0.79 | X2 = X3 ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1800_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3711,plain,
% 0.56/0.79 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 0.56/0.79 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.56/0.79 | X2 = X3 ),
% 0.56/0.79 inference(copy,[status(esa)],[c_570]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_562,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1798_0) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_3695,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 0.56/0.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.79 inference(copy,[status(esa)],[c_562]) ).
% 0.56/0.79
% 0.56/0.79 cnf(c_554,plain,
% 0.56/0.79 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.79 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.79 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1796_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3679,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_554]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_552,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1795_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3675,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_552]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_548,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__vector(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.80 | X1 = X3 ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1794_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3667,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__vector(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.80 | X1 = X3 ),
% 0.56/0.80 inference(copy,[status(esa)],[c_548]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_546,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1793_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3663,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_546]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3664,plain,
% 0.56/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.56/0.80 inference(rewriting,[status(thm)],[c_3663]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_527,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1787_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3625,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_527]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_521,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1785_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3613,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_521]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_519,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1784_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3609,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 0.56/0.80 inference(copy,[status(esa)],[c_519]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_517,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1783_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3605,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 0.56/0.80 inference(copy,[status(esa)],[c_517]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_513,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 0.56/0.80 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.56/0.80 | X1 = X2 ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1782_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3597,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 0.56/0.80 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.56/0.80 | X1 = X2 ),
% 0.56/0.80 inference(copy,[status(esa)],[c_513]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_511,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.80 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1781_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3593,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.80 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_511]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_509,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1780_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3589,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_509]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_507,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1779_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3585,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_507]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_505,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__vector(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1778_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3581,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__vector(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_505]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_501,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1776_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3573,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_501]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_497,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1774_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3565,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_497]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_495,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1773_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3561,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_495]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_493,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oring(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1772_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3557,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oring(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_493]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_491,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oring(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1771_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3553,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oring(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_491]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_488,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.80 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 0.56/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1770_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3547,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.80 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 0.56/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_488]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_485,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1769_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3541,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_485]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_482,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1768_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3535,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_482]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_479,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1767_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3529,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_479]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_477,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1766_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3525,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 0.56/0.80 inference(copy,[status(esa)],[c_477]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_475,plain,
% 0.56/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.80 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1765_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3521,plain,
% 0.56/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.80 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_475]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_473,plain,
% 0.56/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1764_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3517,plain,
% 0.56/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_473]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_471,plain,
% 0.56/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1763_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3513,plain,
% 0.56/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_471]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_469,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1762_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3509,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_469]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_467,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1761_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3505,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_467]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_465,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1760_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3501,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_465]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_463,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1759_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3497,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_463]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_461,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1758_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3493,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_461]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_459,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1757_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3489,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_459]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_457,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1756_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3485,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_457]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_455,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1755_2) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3481,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_455]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3482,plain,
% 0.56/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.56/0.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.56/0.80 inference(rewriting,[status(thm)],[c_3481]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_450,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1754_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3471,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_450]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_444,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1752_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3459,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_444]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_432,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1748_1) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3435,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_432]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_431,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 0.56/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1748_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3433,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 0.56/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_431]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_429,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1747_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3429,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_429]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_427,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.56/0.80 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1746_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3425,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.56/0.80 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_427]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_424,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1745_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3419,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_424]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3420,plain,
% 0.56/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.56/0.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.56/0.80 inference(rewriting,[status(thm)],[c_3419]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_421,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1744_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3413,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_421]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3414,plain,
% 0.56/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.56/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.56/0.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.56/0.80 inference(rewriting,[status(thm)],[c_3413]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_412,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 0.56/0.80 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1741_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3395,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 0.56/0.80 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_412]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_403,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.56/0.80 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1738_2) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3377,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.56/0.80 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.56/0.80 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.56/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_403]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_394,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1736_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3359,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_394]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3360,plain,
% 0.56/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
% 0.56/0.80 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.56/0.80 inference(rewriting,[status(thm)],[c_3359]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_392,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1735_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3355,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.56/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_392]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3356,plain,
% 0.56/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),X1)
% 0.56/0.80 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.56/0.80 inference(rewriting,[status(thm)],[c_3355]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_390,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.80 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1734_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3351,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.56/0.80 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_390]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_388,plain,
% 0.56/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1733_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3347,plain,
% 0.56/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.56/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_388]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_377,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1729_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3325,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_377]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_375,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1728_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3321,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_375]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_371,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__vector(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1726_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3313,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__vector(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_371]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_369,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1725_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3309,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_369]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_367,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1724_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3305,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.56/0.80 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_367]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_365,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1723_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3301,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_365]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_363,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1722_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3297,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_363]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_359,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1720_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3289,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_359]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_355,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1718_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3281,plain,
% 0.56/0.80 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.56/0.80 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_355]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_351,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1716_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3273,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_351]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_349,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1715_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3269,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_349]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_345,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1713_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3261,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_345]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_343,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1712_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3257,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_343]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_341,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1711_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3253,plain,
% 0.56/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_341]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_339,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.56/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1710_0) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_3249,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.56/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.56/0.80 inference(copy,[status(esa)],[c_339]) ).
% 0.56/0.80
% 0.56/0.80 cnf(c_337,plain,
% 0.56/0.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1709_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3245,plain,
% 0.60/0.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_337]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_333,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1707_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3237,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_333]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_329,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1705_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3229,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_329]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_327,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1704_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3225,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_327]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_325,plain,
% 0.60/0.80 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 0.60/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1703_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3221,plain,
% 0.60/0.80 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 0.60/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_325]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_322,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 0.60/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1702_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3215,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 0.60/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_322]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_319,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 0.60/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1701_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3209,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 0.60/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_319]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_316,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.80 | 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) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1700_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3203,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.80 | 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) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_316]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_314,plain,
% 0.60/0.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.60/0.80 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1699_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3199,plain,
% 0.60/0.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.60/0.80 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_314]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_311,plain,
% 0.60/0.80 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1698_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3193,plain,
% 0.60/0.80 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_311]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3194,plain,
% 0.60/0.80 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 0.60/0.80 inference(rewriting,[status(thm)],[c_3193]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_308,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 0.60/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1697_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3187,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 0.60/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_308]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_305,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 0.60/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1696_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3181,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 0.60/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_305]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_297,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1694_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3165,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_297]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3166,plain,
% 0.60/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.60/0.80 | ~ class_Divides_Osemiring__div(X3) ),
% 0.60/0.80 inference(rewriting,[status(thm)],[c_3165]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_299,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1694_2) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3169,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_299]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3170,plain,
% 0.60/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.60/0.80 | ~ class_Divides_Osemiring__div(X3) ),
% 0.60/0.80 inference(rewriting,[status(thm)],[c_3169]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_295,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1693_2) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3161,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_295]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3162,plain,
% 0.60/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.60/0.80 | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 0.60/0.80 inference(rewriting,[status(thm)],[c_3161]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_291,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1692_2) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3153,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_291]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3154,plain,
% 0.60/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.60/0.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.60/0.80 inference(rewriting,[status(thm)],[c_3153]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_287,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1691_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3145,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_287]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_285,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1690_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3141,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_285]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_281,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 0.60/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1689_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3133,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 0.60/0.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_281]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_277,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 0.60/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1688_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3125,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 0.60/0.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_277]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_274,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.80 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1687_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3119,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.80 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.80 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_274]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_271,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1686_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3113,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_271]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3114,plain,
% 0.60/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.60/0.80 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.60/0.80 inference(rewriting,[status(thm)],[c_3113]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_268,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1685_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3107,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_268]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3108,plain,
% 0.60/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.60/0.80 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.60/0.80 inference(rewriting,[status(thm)],[c_3107]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_265,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1684_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3101,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.60/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_265]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3102,plain,
% 0.60/0.80 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 0.60/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.60/0.80 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.60/0.80 inference(rewriting,[status(thm)],[c_3101]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_263,plain,
% 0.60/0.80 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1683_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3097,plain,
% 0.60/0.80 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_263]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_260,plain,
% 0.60/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1682_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3091,plain,
% 0.60/0.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 0.60/0.80 inference(copy,[status(esa)],[c_260]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_247,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Oring__1(X0)
% 0.60/0.80 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1678_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3065,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Oring__1(X0)
% 0.60/0.80 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_247]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_245,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1677_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3061,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_245]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_243,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1676_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3057,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_243]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_241,plain,
% 0.60/0.80 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1675_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3053,plain,
% 0.60/0.80 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_241]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_239,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.80 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1674_0) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_3049,plain,
% 0.60/0.80 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.80 inference(copy,[status(esa)],[c_239]) ).
% 0.60/0.80
% 0.60/0.80 cnf(c_237,plain,
% 0.60/0.80 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1673_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_3045,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_237]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_235,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1672_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_3041,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_235]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_233,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1671_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_3037,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_233]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_231,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__vector(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1670_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_3033,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__vector(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_231]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_227,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1668_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_3025,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_227]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_223,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1666_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_3017,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_223]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_221,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1665_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_3013,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_221]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_219,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1664_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_3009,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_219]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_215,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1662_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_3001,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_215]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_213,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1661_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2997,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_213]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_209,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1659_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2989,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_209]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_205,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1657_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2981,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_205]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_203,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1656_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2977,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_203]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_201,plain,
% 0.60/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1655_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2973,plain,
% 0.60/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_201]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_199,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1654_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2969,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_199]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_197,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1653_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2965,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_197]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_195,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__vector(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1652_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2961,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__vector(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_195]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_192,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1651_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2955,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_192]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_189,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1650_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2949,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_189]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_186,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 0.60/0.81 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1649_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2943,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 0.60/0.81 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_186]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_183,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1648_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2937,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_183]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_181,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1647_2) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2933,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_181]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2934,plain,
% 0.60/0.81 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 0.60/0.81 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.60/0.81 inference(rewriting,[status(thm)],[c_2933]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_169,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),X0) = X1 ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1644_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2909,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),X0) = X1 ),
% 0.60/0.81 inference(copy,[status(esa)],[c_169]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_167,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0) = X2 ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1643_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2905,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0) = X2 ),
% 0.60/0.81 inference(copy,[status(esa)],[c_167]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_163,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0) = X1 ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1641_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2897,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0) = X1 ),
% 0.60/0.81 inference(copy,[status(esa)],[c_163]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_153,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1638_3) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2877,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_153]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2878,plain,
% 0.60/0.81 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.60/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.60/0.81 | ~ class_Divides_Osemiring__div(X2) ),
% 0.60/0.81 inference(rewriting,[status(thm)],[c_2877]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_148,plain,
% 0.60/0.81 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1637_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2867,plain,
% 0.60/0.81 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_148]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_146,plain,
% 0.60/0.81 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1636_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2863,plain,
% 0.60/0.81 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_146]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_142,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1634_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2855,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_142]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_140,plain,
% 0.60/0.81 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1633_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2851,plain,
% 0.60/0.81 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.60/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_140]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_134,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1630_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2839,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_134]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_132,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1629_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2835,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_132]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_130,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1628_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2831,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_130]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_128,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1627_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2827,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_128]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_126,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1626_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2823,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_126]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_123,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1625_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2817,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_123]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_120,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 0.60/0.81 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1624_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2811,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 0.60/0.81 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_120]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_111,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.81 | 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) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1621_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2793,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.81 | 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) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_111]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_107,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 0.60/0.81 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1620_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2785,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 0.60/0.81 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_107]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_103,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 0.60/0.81 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1619_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2777,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 0.60/0.81 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_103]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_100,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1618_1) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2771,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_100]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_99,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1618_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2769,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_99]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_96,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1617_1) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2763,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_96]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_95,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1617_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2761,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_95]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_92,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1616_1) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2755,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_92]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_91,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1616_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2753,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_91]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_85,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1614_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2741,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_85]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_83,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1613_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2737,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.60/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_83]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_76,plain,
% 0.60/0.81 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1611_2) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2723,plain,
% 0.60/0.81 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_76]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_72,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1610_2) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2715,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_72]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_68,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1609_2) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2707,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_68]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_60,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1607_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2691,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_60]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_58,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1606_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2687,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_58]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_56,plain,
% 0.60/0.81 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1605_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2683,plain,
% 0.60/0.81 ( ~ class_Divides_Oring__div(X0)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_56]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_44,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Osemiring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1602_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2659,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Osemiring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_44]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_41,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 0.60/0.81 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1601_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2653,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 0.60/0.81 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_41]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_38,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1600_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2647,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 0.60/0.81 inference(copy,[status(esa)],[c_38]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2648,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0) ),
% 0.60/0.81 inference(rewriting,[status(thm)],[c_2647]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_35,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.60/0.81 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1599_1) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2641,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.60/0.81 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_35]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_34,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1599_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2639,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_34]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_31,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.60/0.81 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1598_1) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2633,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.60/0.81 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_31]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_30,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1598_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2631,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_30]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_27,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1597_1) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2625,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_27]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_26,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1597_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2623,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_26]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_24,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,X3,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1596_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2619,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,X3,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_24]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_22,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,X3,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1595_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2615,plain,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,X3,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_22]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_18,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1593_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2607,plain,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oring(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_18]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_5,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1590_1) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2581,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_5]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_4,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1590_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2579,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 0.60/0.81 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.60/0.81 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_4]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__field(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1589_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2575,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__field(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_2]) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_0,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 0.60/0.81 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1588_0) ).
% 0.60/0.81
% 0.60/0.81 cnf(c_2571,plain,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.60/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 0.60/0.81 inference(copy,[status(esa)],[c_0]) ).
% 0.60/0.81
% 0.60/0.81
% 0.60/0.81
% 0.60/0.81 % ------ Statistics
% 0.60/0.81
% 0.60/0.81 % ------ General
% 0.60/0.81
% 0.60/0.81 % num_of_input_clauses: 1119
% 0.60/0.81 % num_of_input_neg_conjectures: 1
% 0.60/0.81 % num_of_splits: 0
% 0.60/0.81 % num_of_split_atoms: 0
% 0.60/0.81 % num_of_sem_filtered_clauses: 0
% 0.60/0.81 % num_of_subtypes: 0
% 0.60/0.81 % monotx_restored_types: 0
% 0.60/0.81 % sat_num_of_epr_types: 0
% 0.60/0.81 % sat_num_of_non_cyclic_types: 0
% 0.60/0.81 % sat_guarded_non_collapsed_types: 0
% 0.60/0.81 % is_epr: 0
% 0.60/0.81 % is_horn: 0
% 0.60/0.81 % has_eq: 1
% 0.60/0.81 % num_pure_diseq_elim: 0
% 0.60/0.81 % simp_replaced_by: 0
% 0.60/0.81 % res_preprocessed: 2
% 0.60/0.81 % prep_upred: 0
% 0.60/0.81 % prep_unflattend: 0
% 0.60/0.81 % pred_elim_cands: 0
% 0.60/0.81 % pred_elim: 0
% 0.60/0.81 % pred_elim_cl: 0
% 0.60/0.81 % pred_elim_cycles: 0
% 0.60/0.81 % forced_gc_time: 0
% 0.60/0.81 % gc_basic_clause_elim: 0
% 0.60/0.81 % parsing_time: 0.056
% 0.60/0.81 % sem_filter_time: 0.
% 0.60/0.81 % pred_elim_time: 0.
% 0.60/0.81 % out_proof_time: 0.
% 0.60/0.81 % monotx_time: 0.
% 0.60/0.81 % subtype_inf_time: 0.
% 0.60/0.81 % unif_index_cands_time: 0.
% 0.60/0.81 % unif_index_add_time: 0.
% 0.60/0.81 % total_time: 0.367
% 0.60/0.81 % num_of_symbols: 101
% 0.60/0.81 % num_of_terms: 3507
% 0.60/0.81
% 0.60/0.81 % ------ Propositional Solver
% 0.60/0.81
% 0.60/0.81 % prop_solver_calls: 1
% 0.60/0.81 % prop_fast_solver_calls: 3
% 0.60/0.81 % prop_num_of_clauses: 1132
% 0.60/0.81 % prop_preprocess_simplified: 3174
% 0.60/0.81 % prop_fo_subsumed: 0
% 0.60/0.81 % prop_solver_time: 0.
% 0.60/0.81 % prop_fast_solver_time: 0.
% 0.60/0.81 % prop_unsat_core_time: 0.
% 0.60/0.81
% 0.60/0.81 % ------ QBF
% 0.60/0.81
% 0.60/0.81 % qbf_q_res: 0
% 0.60/0.81 % qbf_num_tautologies: 0
% 0.60/0.81 % qbf_prep_cycles: 0
% 0.60/0.81
% 0.60/0.81 % ------ BMC1
% 0.60/0.81
% 0.60/0.81 % bmc1_current_bound: -1
% 0.60/0.81 % bmc1_last_solved_bound: -1
% 0.60/0.81 % bmc1_unsat_core_size: -1
% 0.60/0.81 % bmc1_unsat_core_parents_size: -1
% 0.60/0.81 % bmc1_merge_next_fun: 0
% 0.60/0.81 % bmc1_unsat_core_clauses_time: 0.
% 0.60/0.81
% 0.60/0.81 % ------ Instantiation
% 0.60/0.81
% 0.60/0.81 % inst_num_of_clauses: 1016
% 0.60/0.81 % inst_num_in_passive: 0
% 0.60/0.81 % inst_num_in_active: 0
% 0.60/0.81 % inst_num_in_unprocessed: 1119
% 0.60/0.81 % inst_num_of_loops: 0
% 0.60/0.81 % inst_num_of_learning_restarts: 0
% 0.60/0.81 % inst_num_moves_active_passive: 0
% 0.60/0.81 % inst_lit_activity: 0
% 0.60/0.81 % inst_lit_activity_moves: 0
% 0.60/0.81 % inst_num_tautologies: 0
% 0.60/0.81 % inst_num_prop_implied: 0
% 0.60/0.81 % inst_num_existing_simplified: 0
% 0.60/0.82 % inst_num_eq_res_simplified: 0
% 0.60/0.82 % inst_num_child_elim: 0
% 0.60/0.82 % inst_num_of_dismatching_blockings: 0
% 0.60/0.82 % inst_num_of_non_proper_insts: 0
% 0.60/0.82 % inst_num_of_duplicates: 0
% 0.60/0.82 % inst_inst_num_from_inst_to_res: 0
% 0.60/0.82 % inst_dismatching_checking_time: 0.
% 0.60/0.82
% 0.60/0.82 % ------ Resolution
% 0.60/0.82
% 0.60/0.82 % res_num_of_clauses: 1077
% 0.60/0.82 % res_num_in_passive: 0
% 0.60/0.82 % res_num_in_active: 467
% 0.60/0.82 % res_num_of_loops: 2
% 0.60/0.82 % res_forward_subset_subsumed: 649
% 0.60/0.82 % res_backward_subset_subsumed: 1
% 0.60/0.82 % res_forward_subsumed: 0
% 0.60/0.82 % res_backward_subsumed: 0
% 0.60/0.82 % res_forward_subsumption_resolution: 0
% 0.60/0.82 % res_backward_subsumption_resolution: 0
% 0.60/0.82 % res_clause_to_clause_subsumption: 0
% 0.60/0.82 % res_orphan_elimination: 0
% 0.60/0.82 % res_tautology_del: 0
% 0.60/0.82 % res_num_eq_res_simplified: 0
% 0.60/0.82 % res_num_sel_changes: 0
% 0.60/0.82 % res_moves_from_active_to_pass: 0
% 0.60/0.82
% 0.60/0.82 % Status Unknown
% 0.64/0.92 % Orienting using strategy ClausalAll
% 0.64/0.92 % Orientation found
% 0.64/0.92 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e6fee4.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e740eb.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_383851 | grep -v "SZS"
% 0.75/0.95
% 0.75/0.95 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.75/0.95
% 0.75/0.95 %
% 0.75/0.95 % ------ iProver source info
% 0.75/0.95
% 0.75/0.95 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.75/0.95 % git: non_committed_changes: true
% 0.75/0.95 % git: last_make_outside_of_git: true
% 0.75/0.95
% 0.75/0.95 %
% 0.75/0.95 % ------ Input Options
% 0.75/0.95
% 0.75/0.95 % --out_options all
% 0.75/0.95 % --tptp_safe_out true
% 0.75/0.95 % --problem_path ""
% 0.75/0.95 % --include_path ""
% 0.75/0.95 % --clausifier .//eprover
% 0.75/0.95 % --clausifier_options --tstp-format
% 0.75/0.95 % --stdin false
% 0.75/0.95 % --dbg_backtrace false
% 0.75/0.95 % --dbg_dump_prop_clauses false
% 0.75/0.95 % --dbg_dump_prop_clauses_file -
% 0.75/0.95 % --dbg_out_stat false
% 0.75/0.95
% 0.75/0.95 % ------ General Options
% 0.75/0.95
% 0.75/0.95 % --fof false
% 0.75/0.95 % --time_out_real 150.
% 0.75/0.95 % --time_out_prep_mult 0.2
% 0.75/0.95 % --time_out_virtual -1.
% 0.75/0.95 % --schedule none
% 0.75/0.95 % --ground_splitting input
% 0.75/0.95 % --splitting_nvd 16
% 0.75/0.95 % --non_eq_to_eq false
% 0.75/0.95 % --prep_gs_sim true
% 0.75/0.95 % --prep_unflatten false
% 0.75/0.95 % --prep_res_sim true
% 0.75/0.95 % --prep_upred true
% 0.75/0.95 % --res_sim_input true
% 0.75/0.95 % --clause_weak_htbl true
% 0.75/0.95 % --gc_record_bc_elim false
% 0.75/0.95 % --symbol_type_check false
% 0.75/0.95 % --clausify_out false
% 0.75/0.95 % --large_theory_mode false
% 0.75/0.95 % --prep_sem_filter none
% 0.75/0.95 % --prep_sem_filter_out false
% 0.75/0.95 % --preprocessed_out false
% 0.75/0.95 % --sub_typing false
% 0.75/0.95 % --brand_transform false
% 0.75/0.95 % --pure_diseq_elim true
% 0.75/0.95 % --min_unsat_core false
% 0.75/0.95 % --pred_elim true
% 0.75/0.95 % --add_important_lit false
% 0.75/0.95 % --soft_assumptions false
% 0.75/0.95 % --reset_solvers false
% 0.75/0.95 % --bc_imp_inh []
% 0.75/0.95 % --conj_cone_tolerance 1.5
% 0.75/0.95 % --prolific_symb_bound 500
% 0.75/0.95 % --lt_threshold 2000
% 0.75/0.95
% 0.75/0.95 % ------ SAT Options
% 0.75/0.95
% 0.75/0.95 % --sat_mode false
% 0.75/0.95 % --sat_fm_restart_options ""
% 0.75/0.95 % --sat_gr_def false
% 0.75/0.95 % --sat_epr_types true
% 0.75/0.95 % --sat_non_cyclic_types false
% 0.75/0.95 % --sat_finite_models false
% 0.75/0.95 % --sat_fm_lemmas false
% 0.75/0.95 % --sat_fm_prep false
% 0.75/0.95 % --sat_fm_uc_incr true
% 0.75/0.95 % --sat_out_model small
% 0.75/0.95 % --sat_out_clauses false
% 0.75/0.95
% 0.75/0.95 % ------ QBF Options
% 0.75/0.95
% 0.75/0.95 % --qbf_mode false
% 0.75/0.95 % --qbf_elim_univ true
% 0.75/0.95 % --qbf_sk_in true
% 0.75/0.95 % --qbf_pred_elim true
% 0.75/0.95 % --qbf_split 32
% 0.75/0.95
% 0.75/0.95 % ------ BMC1 Options
% 0.75/0.95
% 0.75/0.95 % --bmc1_incremental false
% 0.75/0.95 % --bmc1_axioms reachable_all
% 0.75/0.95 % --bmc1_min_bound 0
% 0.75/0.95 % --bmc1_max_bound -1
% 0.75/0.95 % --bmc1_max_bound_default -1
% 0.75/0.95 % --bmc1_symbol_reachability true
% 0.75/0.95 % --bmc1_property_lemmas false
% 0.75/0.95 % --bmc1_k_induction false
% 0.75/0.95 % --bmc1_non_equiv_states false
% 0.75/0.95 % --bmc1_deadlock false
% 0.75/0.95 % --bmc1_ucm false
% 0.75/0.95 % --bmc1_add_unsat_core none
% 0.75/0.95 % --bmc1_unsat_core_children false
% 0.75/0.95 % --bmc1_unsat_core_extrapolate_axioms false
% 0.75/0.95 % --bmc1_out_stat full
% 0.75/0.95 % --bmc1_ground_init false
% 0.75/0.95 % --bmc1_pre_inst_next_state false
% 0.75/0.95 % --bmc1_pre_inst_state false
% 0.75/0.95 % --bmc1_pre_inst_reach_state false
% 0.75/0.95 % --bmc1_out_unsat_core false
% 0.75/0.95 % --bmc1_aig_witness_out false
% 0.75/0.95 % --bmc1_verbose false
% 0.75/0.95 % --bmc1_dump_clauses_tptp false
% 0.87/1.18 % --bmc1_dump_unsat_core_tptp false
% 0.87/1.18 % --bmc1_dump_file -
% 0.87/1.18 % --bmc1_ucm_expand_uc_limit 128
% 0.87/1.18 % --bmc1_ucm_n_expand_iterations 6
% 0.87/1.18 % --bmc1_ucm_extend_mode 1
% 0.87/1.18 % --bmc1_ucm_init_mode 2
% 0.87/1.18 % --bmc1_ucm_cone_mode none
% 0.87/1.18 % --bmc1_ucm_reduced_relation_type 0
% 0.87/1.18 % --bmc1_ucm_relax_model 4
% 0.87/1.18 % --bmc1_ucm_full_tr_after_sat true
% 0.87/1.18 % --bmc1_ucm_expand_neg_assumptions false
% 0.87/1.18 % --bmc1_ucm_layered_model none
% 0.87/1.18 % --bmc1_ucm_max_lemma_size 10
% 0.87/1.18
% 0.87/1.18 % ------ AIG Options
% 0.87/1.18
% 0.87/1.18 % --aig_mode false
% 0.87/1.18
% 0.87/1.18 % ------ Instantiation Options
% 0.87/1.18
% 0.87/1.18 % --instantiation_flag true
% 0.87/1.18 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.87/1.18 % --inst_solver_per_active 750
% 0.87/1.18 % --inst_solver_calls_frac 0.5
% 0.87/1.18 % --inst_passive_queue_type priority_queues
% 0.87/1.18 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.87/1.18 % --inst_passive_queues_freq [25;2]
% 0.87/1.18 % --inst_dismatching true
% 0.87/1.18 % --inst_eager_unprocessed_to_passive true
% 0.87/1.18 % --inst_prop_sim_given true
% 0.87/1.18 % --inst_prop_sim_new false
% 0.87/1.18 % --inst_orphan_elimination true
% 0.87/1.18 % --inst_learning_loop_flag true
% 0.87/1.18 % --inst_learning_start 3000
% 0.87/1.18 % --inst_learning_factor 2
% 0.87/1.18 % --inst_start_prop_sim_after_learn 3
% 0.87/1.18 % --inst_sel_renew solver
% 0.87/1.18 % --inst_lit_activity_flag true
% 0.87/1.18 % --inst_out_proof true
% 0.87/1.18
% 0.87/1.18 % ------ Resolution Options
% 0.87/1.18
% 0.87/1.18 % --resolution_flag true
% 0.87/1.18 % --res_lit_sel kbo_max
% 0.87/1.18 % --res_to_prop_solver none
% 0.87/1.18 % --res_prop_simpl_new false
% 0.87/1.18 % --res_prop_simpl_given false
% 0.87/1.18 % --res_passive_queue_type priority_queues
% 0.87/1.18 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.87/1.18 % --res_passive_queues_freq [15;5]
% 0.87/1.18 % --res_forward_subs full
% 0.87/1.18 % --res_backward_subs full
% 0.87/1.18 % --res_forward_subs_resolution true
% 0.87/1.18 % --res_backward_subs_resolution true
% 0.87/1.18 % --res_orphan_elimination false
% 0.87/1.18 % --res_time_limit 1000.
% 0.87/1.18 % --res_out_proof true
% 0.87/1.18 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e6fee4.s
% 0.87/1.18 % --modulo true
% 0.87/1.18
% 0.87/1.18 % ------ Combination Options
% 0.87/1.18
% 0.87/1.18 % --comb_res_mult 1000
% 0.87/1.18 % --comb_inst_mult 300
% 0.87/1.18 % ------
% 0.87/1.18
% 0.87/1.18 % ------ Parsing...% successful
% 0.87/1.18
% 0.87/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.87/1.18
% 0.87/1.18 % ------ Proving...
% 0.87/1.18 % ------ Problem Properties
% 0.87/1.18
% 0.87/1.18 %
% 0.87/1.18 % EPR false
% 0.87/1.18 % Horn false
% 0.87/1.18 % Has equality true
% 0.87/1.18
% 0.87/1.18 % % ------ Input Options Time Limit: Unbounded
% 0.87/1.18
% 0.87/1.18
% 0.87/1.18 Compiling...
% 0.87/1.18 Loading plugin: done.
% 0.87/1.18 % % ------ Current options:
% 0.87/1.18
% 0.87/1.18 % ------ Input Options
% 0.87/1.18
% 0.87/1.18 % --out_options all
% 0.87/1.18 % --tptp_safe_out true
% 0.87/1.18 % --problem_path ""
% 0.87/1.18 % --include_path ""
% 0.87/1.18 % --clausifier .//eprover
% 0.87/1.18 % --clausifier_options --tstp-format
% 0.87/1.18 % --stdin false
% 0.87/1.18 % --dbg_backtrace false
% 0.87/1.18 % --dbg_dump_prop_clauses false
% 0.87/1.18 % --dbg_dump_prop_clauses_file -
% 0.87/1.18 % --dbg_out_stat false
% 0.87/1.18
% 0.87/1.18 % ------ General Options
% 0.87/1.18
% 0.87/1.18 % --fof false
% 0.87/1.18 % --time_out_real 150.
% 0.87/1.18 % --time_out_prep_mult 0.2
% 0.87/1.18 % --time_out_virtual -1.
% 0.87/1.18 % --schedule none
% 0.87/1.18 % --ground_splitting input
% 0.87/1.18 % --splitting_nvd 16
% 0.87/1.18 % --non_eq_to_eq false
% 0.87/1.18 % --prep_gs_sim true
% 0.87/1.18 % --prep_unflatten false
% 0.87/1.18 % --prep_res_sim true
% 0.87/1.18 % --prep_upred true
% 0.87/1.18 % --res_sim_input true
% 0.87/1.18 % --clause_weak_htbl true
% 0.87/1.18 % --gc_record_bc_elim false
% 0.87/1.18 % --symbol_type_check false
% 0.87/1.18 % --clausify_out false
% 0.87/1.18 % --large_theory_mode false
% 0.87/1.18 % --prep_sem_filter none
% 0.87/1.18 % --prep_sem_filter_out false
% 0.87/1.18 % --preprocessed_out false
% 0.87/1.18 % --sub_typing false
% 0.87/1.18 % --brand_transform false
% 0.87/1.18 % --pure_diseq_elim true
% 0.87/1.18 % --min_unsat_core false
% 0.87/1.18 % --pred_elim true
% 0.87/1.18 % --add_important_lit false
% 0.87/1.18 % --soft_assumptions false
% 0.87/1.18 % --reset_solvers false
% 0.87/1.18 % --bc_imp_inh []
% 0.87/1.18 % --conj_cone_tolerance 1.5
% 0.87/1.18 % --prolific_symb_bound 500
% 0.87/1.18 % --lt_threshold 2000
% 0.87/1.18
% 0.87/1.18 % ------ SAT Options
% 0.87/1.18
% 0.87/1.18 % --sat_mode false
% 0.87/1.18 % --sat_fm_restart_options ""
% 0.87/1.18 % --sat_gr_def false
% 0.87/1.18 % --sat_epr_types true
% 0.87/1.18 % --sat_non_cyclic_types false
% 0.87/1.18 % --sat_finite_models false
% 0.87/1.18 % --sat_fm_lemmas false
% 0.87/1.18 % --sat_fm_prep false
% 0.87/1.18 % --sat_fm_uc_incr true
% 0.87/1.18 % --sat_out_model small
% 0.87/1.18 % --sat_out_clauses false
% 0.87/1.18
% 0.87/1.18 % ------ QBF Options
% 0.87/1.18
% 0.87/1.18 % --qbf_mode false
% 0.87/1.18 % --qbf_elim_univ true
% 0.87/1.18 % --qbf_sk_in true
% 0.87/1.18 % --qbf_pred_elim true
% 0.87/1.18 % --qbf_split 32
% 0.87/1.18
% 0.87/1.18 % ------ BMC1 Options
% 0.87/1.18
% 0.87/1.18 % --bmc1_incremental false
% 0.87/1.18 % --bmc1_axioms reachable_all
% 0.87/1.18 % --bmc1_min_bound 0
% 0.87/1.18 % --bmc1_max_bound -1
% 0.87/1.18 % --bmc1_max_bound_default -1
% 0.87/1.18 % --bmc1_symbol_reachability true
% 0.87/1.18 % --bmc1_property_lemmas false
% 0.87/1.18 % --bmc1_k_induction false
% 0.87/1.18 % --bmc1_non_equiv_states false
% 0.87/1.18 % --bmc1_deadlock false
% 0.87/1.18 % --bmc1_ucm false
% 0.87/1.18 % --bmc1_add_unsat_core none
% 0.87/1.18 % --bmc1_unsat_core_children false
% 0.87/1.18 % --bmc1_unsat_core_extrapolate_axioms false
% 0.87/1.18 % --bmc1_out_stat full
% 0.87/1.18 % --bmc1_ground_init false
% 0.87/1.18 % --bmc1_pre_inst_next_state false
% 0.87/1.18 % --bmc1_pre_inst_state false
% 0.87/1.18 % --bmc1_pre_inst_reach_state false
% 0.87/1.18 % --bmc1_out_unsat_core false
% 0.87/1.18 % --bmc1_aig_witness_out false
% 0.87/1.18 % --bmc1_verbose false
% 0.87/1.18 % --bmc1_dump_clauses_tptp false
% 0.87/1.18 % --bmc1_dump_unsat_core_tptp false
% 0.87/1.18 % --bmc1_dump_file -
% 0.87/1.18 % --bmc1_ucm_expand_uc_limit 128
% 0.87/1.18 % --bmc1_ucm_n_expand_iterations 6
% 0.87/1.18 % --bmc1_ucm_extend_mode 1
% 0.87/1.18 % --bmc1_ucm_init_mode 2
% 0.87/1.18 % --bmc1_ucm_cone_mode none
% 0.87/1.18 % --bmc1_ucm_reduced_relation_type 0
% 0.87/1.18 % --bmc1_ucm_relax_model 4
% 0.87/1.18 % --bmc1_ucm_full_tr_after_sat true
% 0.87/1.18 % --bmc1_ucm_expand_neg_assumptions false
% 0.87/1.18 % --bmc1_ucm_layered_model none
% 0.87/1.18 % --bmc1_ucm_max_lemma_size 10
% 0.87/1.18
% 0.87/1.18 % ------ AIG Options
% 0.87/1.18
% 0.87/1.18 % --aig_mode false
% 0.87/1.18
% 0.87/1.18 % ------ Instantiation Options
% 0.87/1.18
% 0.87/1.18 % --instantiation_flag true
% 0.87/1.18 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.87/1.18 % --inst_solver_per_active 750
% 0.87/1.18 % --inst_solver_calls_frac 0.5
% 0.87/1.18 % --inst_passive_queue_type priority_queues
% 0.87/1.18 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.87/1.18 % --inst_passive_queues_freq [25;2]
% 0.87/1.18 % --inst_dismatching true
% 0.87/1.18 % --inst_eager_unprocessed_to_passive true
% 0.87/1.18 % --inst_prop_sim_given true
% 0.87/1.18 % --inst_prop_sim_new false
% 0.87/1.18 % --inst_orphan_elimination true
% 0.87/1.18 % --inst_learning_loop_flag true
% 0.87/1.18 % --inst_learning_start 3000
% 0.87/1.18 % --inst_learning_factor 2
% 0.87/1.18 % --inst_start_prop_sim_after_learn 3
% 0.87/1.18 % --inst_sel_renew solver
% 0.87/1.18 % --inst_lit_activity_flag true
% 0.87/1.18 % --inst_out_proof true
% 0.87/1.18
% 0.87/1.18 % ------ Resolution Options
% 0.87/1.18
% 0.87/1.18 % --resolution_flag true
% 0.87/1.18 % --res_lit_sel kbo_max
% 0.87/1.18 % --res_to_prop_solver none
% 0.87/1.18 % --res_prop_simpl_new false
% 0.87/1.18 % --res_prop_simpl_given false
% 0.87/1.18 % --res_passive_queue_type priority_queues
% 0.87/1.18 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.87/1.18 % --res_passive_queues_freq [15;5]
% 0.87/1.18 % --res_forward_subs full
% 0.87/1.18 % --res_backward_subs full
% 0.87/1.18 % --res_forward_subs_resolution true
% 0.87/1.18 % --res_backward_subs_resolution true
% 0.87/1.18 % --res_orphan_elimination false
% 0.87/1.18 % --res_time_limit 1000.
% 0.87/1.18 % --res_out_proof true
% 0.87/1.18 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e6fee4.s
% 0.87/1.18 % --modulo true
% 0.87/1.18
% 0.87/1.18 % ------ Combination Options
% 0.87/1.18
% 0.87/1.18 % --comb_res_mult 1000
% 0.87/1.18 % --comb_inst_mult 300
% 0.87/1.18 % ------
% 0.87/1.18
% 0.87/1.18
% 0.87/1.18
% 0.87/1.18 % ------ Proving...
% 0.87/1.18 % warning: shown sat in sat incomplete mode
% 0.87/1.18 %
% 0.87/1.18
% 0.87/1.18
% 0.87/1.18
% 0.87/1.18
% 0.87/1.18 cnf(c_1105,plain,
% 0.87/1.18 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X3)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3),X2,X3),X3)
% 0.87/1.18 | ~ class_Ring__and__Field_Ocomm__ring(X3)
% 0.87/1.18 | ~ class_Ring__and__Field_Odvd(X3) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1947_4) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4785,plain,
% 0.87/1.18 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X3)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3),X2,X3),X3)
% 0.87/1.18 | ~ class_Ring__and__Field_Ocomm__ring(X3)
% 0.87/1.18 | ~ class_Ring__and__Field_Odvd(X3) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1105]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4786,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Odvd(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4785]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1100,plain,
% 0.87/1.18 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 0.87/1.18 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 0.87/1.18 | ~ class_Ring__and__Field_Odvd(X4) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1948_4) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4775,plain,
% 0.87/1.18 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X5,X4),X4)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X4)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X5,X4),X4)
% 0.87/1.18 | ~ class_Ring__and__Field_Ocomm__ring(X4)
% 0.87/1.18 | ~ class_Ring__and__Field_Odvd(X4) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1100]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4776,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Odvd(X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X5,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X5,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4775]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1054,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X3,X4,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1964_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4683,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X3,X4,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1054]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4684,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.18 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X2),c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4683]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1052,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X4,X2),X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1964_3) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4679,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X4,X2),X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1052]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4680,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.18 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),c_Divides_Odiv__class_Odiv(X4,X3,X2),X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4679]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1050,plain,
% 0.87/1.18 ( ~ class_Divides_Oring__div(X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1965_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4675,plain,
% 0.87/1.18 ( ~ class_Divides_Oring__div(X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1050]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4676,plain,
% 0.87/1.18 ( ~ class_Divides_Oring__div(X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4675]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1046,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1966_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4667,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1046]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4668,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4667]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1042,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1967_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4659,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1042]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4660,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4659]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1039,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1968_0) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4653,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1039]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4654,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4653]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1038,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1968_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4651,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1038]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4652,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4651]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1035,plain,
% 0.87/1.18 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1968_4) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4645,plain,
% 0.87/1.18 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1035]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4646,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4645]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1029,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1971_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4633,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X0),X1,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1029]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4634,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.18 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X0,X2),c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X0,X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4633]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1027,plain,
% 0.87/1.18 ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1971_3) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4629,plain,
% 0.87/1.18 ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1027]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4630,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.18 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X0,X2),c_Divides_Odiv__class_Odiv(X3,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X0,X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4629]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1011,plain,
% 0.87/1.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1975_3) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4597,plain,
% 0.87/1.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1011]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4598,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 0.87/1.18 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4597]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_1007,plain,
% 0.87/1.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1976_3) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4589,plain,
% 0.87/1.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_1007]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4590,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 0.87/1.18 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4589]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_998,plain,
% 0.87/1.18 ( 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)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1979_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4571,plain,
% 0.87/1.18 ( 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)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_998]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4572,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | 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) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4571]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_966,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1994_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4507,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_966]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4508,plain,
% 0.87/1.18 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4507]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_965,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1994_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4505,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_965]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4506,plain,
% 0.87/1.18 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4505]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_955,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1996_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4485,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_955]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4486,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.18 | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X1,X3,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X1,X0,X2),X3,X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4485]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_937,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2003_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4449,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_937]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4450,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4449]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_932,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2004_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4439,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_932]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4440,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4439]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_866,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2035_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4307,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_866]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4308,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.18 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X0,X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X3,X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4307]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_860,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2037_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4295,plain,
% 0.87/1.18 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_860]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4296,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4295]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_858,plain,
% 0.87/1.18 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2037_3) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4291,plain,
% 0.87/1.18 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_858]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4292,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4291]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_841,plain,
% 0.87/1.18 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2043_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4257,plain,
% 0.87/1.18 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_841]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4258,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4257]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_837,plain,
% 0.87/1.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2044_3) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4249,plain,
% 0.87/1.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_837]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4250,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 0.87/1.18 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4249]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_833,plain,
% 0.87/1.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2045_3) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4241,plain,
% 0.87/1.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_833]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4242,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 0.87/1.18 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4241]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_819,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2050_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4213,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_819]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4214,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4213]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_815,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2051_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4205,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_815]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4206,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4205]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_799,plain,
% 0.87/1.18 ( 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)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2056_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4173,plain,
% 0.87/1.18 ( 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)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_799]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4174,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | 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) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4173]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_730,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2088_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4035,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_730]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4036,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.18 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X3,X0,X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4035]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_720,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.87/1.18 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.87/1.18 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2093_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4015,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.87/1.18 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.87/1.18 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_720]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4016,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.87/1.18 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.18 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4015]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_715,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.87/1.18 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.87/1.18 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2094_1) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4005,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 0.87/1.18 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 0.87/1.18 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_715]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4006,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.87/1.18 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.18 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_4005]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_712,plain,
% 0.87/1.18 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 0.87/1.18 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.18 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2094_4) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3999,plain,
% 0.87/1.18 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 0.87/1.18 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.18 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_712]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_4000,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.87/1.18 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.18 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3999]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_709,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X2,X1),X1)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,X1)
% 0.87/1.18 | ~ class_Divides_Oring__div(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2095_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3993,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X2,X1),X1)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,X1)
% 0.87/1.18 | ~ class_Divides_Oring__div(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_709]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3994,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ class_Divides_Oring__div(X2)
% 0.87/1.18 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X1,X2),X0,X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3993]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_706,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X1,X2),X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | ~ class_Divides_Oring__div(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2096_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3987,plain,
% 0.87/1.18 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X1,X2),X2)
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | ~ class_Divides_Oring__div(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_706]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3988,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ class_Divides_Oring__div(X2)
% 0.87/1.18 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3987]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_700,plain,
% 0.87/1.18 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2098_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3975,plain,
% 0.87/1.18 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_700]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3976,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X0,X2) = X1 ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3975]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_697,plain,
% 0.87/1.18 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2099_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3969,plain,
% 0.87/1.18 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 0.87/1.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_697]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3970,plain,
% 0.87/1.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.18 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1 ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3969]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_677,plain,
% 0.87/1.18 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2106_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3929,plain,
% 0.87/1.18 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_677]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3930,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3929]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_674,plain,
% 0.87/1.18 ( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X0,X1),c_Transcendental_Oexp(X2,X1),X1) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 0.87/1.18 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.87/1.18 | ~ class_SEQ_Obanach(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2107_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3923,plain,
% 0.87/1.18 ( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X0,X1),c_Transcendental_Oexp(X2,X1),X1) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 0.87/1.18 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.87/1.18 | ~ class_SEQ_Obanach(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_674]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3924,plain,
% 0.87/1.18 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.18 | ~ class_SEQ_Obanach(X0)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3923]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_671,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2108_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3917,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_671]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3918,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Oordered__field(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3917]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_668,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X0,X1),c_Transcendental_Oexp(X2,X1),X1) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1)
% 0.87/1.18 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.87/1.18 | ~ class_SEQ_Obanach(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2109_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3911,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X0,X1),c_Transcendental_Oexp(X2,X1),X1) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1)
% 0.87/1.18 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.87/1.18 | ~ class_SEQ_Obanach(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_668]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3912,plain,
% 0.87/1.18 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.18 | ~ class_SEQ_Obanach(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3911]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_636,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2123_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3847,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_636]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3848,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3847]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_633,plain,
% 0.87/1.18 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2124_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3841,plain,
% 0.87/1.18 ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_633]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3842,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.18 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3841]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_591,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2142_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3757,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_591]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3758,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3757]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_588,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2143_2) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3751,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_588]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3752,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3751]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_556,plain,
% 0.87/1.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2153_3) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3687,plain,
% 0.87/1.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 0.87/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.18 inference(copy,[status(esa)],[c_556]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_3688,plain,
% 0.87/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.18 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 0.87/1.18 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.18 inference(rewriting,[status(thm)],[c_3687]) ).
% 0.87/1.18
% 0.87/1.18 cnf(c_530,plain,
% 0.87/1.18 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Oinverse__class_Odivide(X0,X2,X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2161_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3635,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Oinverse__class_Odivide(X0,X2,X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_530]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3636,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_3635]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_476,plain,
% 0.87/1.19 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2183_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3527,plain,
% 0.87/1.19 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_476]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3528,plain,
% 0.87/1.19 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_3527]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_473,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2184_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3521,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_473]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3522,plain,
% 0.87/1.19 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X0,X2) = c_HOL_Ozero__class_Ozero(X2) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_3521]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_448,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | ~ class_Power_Opower(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Omult__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2194_5) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3471,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | ~ class_Power_Opower(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Omult__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_448]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3472,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Omult__zero(X0)
% 0.87/1.19 | ~ class_Power_Opower(X0)
% 0.87/1.19 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_3471]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_367,plain,
% 0.87/1.19 ( c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X0,X1),X1)
% 0.87/1.19 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.87/1.19 | ~ class_SEQ_Obanach(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2222_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3309,plain,
% 0.87/1.19 ( c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X0,X1),X1)
% 0.87/1.19 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.87/1.19 | ~ class_SEQ_Obanach(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_367]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3310,plain,
% 0.87/1.19 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.19 | ~ class_SEQ_Obanach(X0)
% 0.87/1.19 | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_3309]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_364,plain,
% 0.87/1.19 ( 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)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2223_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3303,plain,
% 0.87/1.19 ( 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)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_364]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3304,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Oordered__field(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_3303]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_361,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2224_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3297,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_361]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3298,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_3297]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_332,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2236_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3239,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_332]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3240,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_3239]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_319,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2241_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3213,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_319]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_3214,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_3213]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_211,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.87/1.19 | X1 = X2
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2292_0) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2997,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.87/1.19 | X1 = X2
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_211]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2998,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = X2 ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_2997]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_193,plain,
% 0.87/1.19 ( X0 = X1
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2298_3) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2961,plain,
% 0.87/1.19 ( X0 = X1
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_193]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2962,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 0.87/1.19 | X1 = X2 ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_2961]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_190,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2299_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2955,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_190]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2956,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_2955]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_173,plain,
% 0.87/1.19 ( X0 = c_HOL_Oone__class_Oone(X1)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2304_3) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2921,plain,
% 0.87/1.19 ( X0 = c_HOL_Oone__class_Oone(X1)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_173]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2922,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 0.87/1.19 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_2921]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_160,plain,
% 0.87/1.19 ( c_Transcendental_Oexp(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.87/1.19 | ~ class_SEQ_Obanach(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2310_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2895,plain,
% 0.87/1.19 ( c_Transcendental_Oexp(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | ~ class_RealVector_Oreal__normed__field(X1)
% 0.87/1.19 | ~ class_SEQ_Obanach(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_160]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2896,plain,
% 0.87/1.19 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.19 | ~ class_SEQ_Obanach(X0)
% 0.87/1.19 | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_2895]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_137,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2318_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2849,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_137]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2850,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_2849]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_134,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2319_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2843,plain,
% 0.87/1.19 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_134]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2844,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_2843]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_131,plain,
% 0.87/1.19 ( c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.87/1.19 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.19 | ~ class_SEQ_Obanach(X0) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2320_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2837,plain,
% 0.87/1.19 ( c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.87/1.19 | ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.19 | ~ class_SEQ_Obanach(X0) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_131]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_2838,plain,
% 0.87/1.19 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.19 | ~ class_SEQ_Obanach(X0)
% 0.87/1.19 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_2837]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1118,negated_conjecture,
% 0.87/1.19 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_4) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1451,negated_conjecture,
% 0.87/1.19 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1118]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1455,negated_conjecture,
% 0.87/1.19 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1451]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1456,negated_conjecture,
% 0.87/1.19 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1455]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1457,negated_conjecture,
% 0.87/1.19 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1456]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4811,negated_conjecture,
% 0.87/1.19 ( c_FFT__Mirabelle_Oroot(v_n) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1457]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1116,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X4,X2),X2),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 0.87/1.19 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1944_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4807,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X4,X2),X2),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X3,X4,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 0.87/1.19 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1116]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4808,plain,
% 0.87/1.19 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4807]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1114,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X5,X3),X4,X3),X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X4,X3)
% 0.87/1.19 | ~ class_RealVector_Oreal__field(X3) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1945_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4803,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X5,X3),X4,X3),X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X4,X3)
% 0.87/1.19 | ~ class_RealVector_Oreal__field(X3) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1114]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4804,plain,
% 0.87/1.19 ( ~ class_RealVector_Oreal__field(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4803]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1113,plain,
% 0.87/1.19 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1946_0) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4801,plain,
% 0.87/1.19 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1113]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1110,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,X1),X3,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X3,X1)
% 0.87/1.19 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1946_3) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4795,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,X1),X3,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X3,X1)
% 0.87/1.19 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1110]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4796,plain,
% 0.87/1.19 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4795]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1098,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2),c_Divides_Odiv__class_Omod(X1,X0,X2),X2),X3,X2) = c_HOL_Oplus__class_Oplus(X1,X3,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1949_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4771,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2),c_Divides_Odiv__class_Omod(X1,X0,X2),X2),X3,X2) = c_HOL_Oplus__class_Oplus(X1,X3,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1098]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4772,plain,
% 0.87/1.19 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,X3,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4771]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1096,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),c_Divides_Odiv__class_Omod(X0,X1,X2),X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,X3,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1950_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4767,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),c_Divides_Odiv__class_Omod(X0,X1,X2),X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,X3,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1096]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4768,plain,
% 0.87/1.19 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,X3,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4767]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1092,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,X2),X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1952_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4759,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,X2),X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1092]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4760,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Oring(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4759]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1091,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1953_0) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4757,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1091]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1088,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1953_3) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4751,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1088]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4752,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4751]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1087,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1954_0) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4749,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1087]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1084,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1954_3) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4743,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1084]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4744,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.87/1.19 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4743]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1083,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1955_0) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4741,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1083]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1080,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1955_3) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4735,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X0,X1),X1),c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1080]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4736,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.19 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 0.87/1.19 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4735]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1077,plain,
% 0.87/1.19 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3)
% 0.87/1.19 | ~ class_Ring__and__Field_Oring(X3) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1956_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4729,plain,
% 0.87/1.19 ( X0 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X0,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3)
% 0.87/1.19 | ~ class_Ring__and__Field_Oring(X3) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1077]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4730,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Oring(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 0.87/1.19 | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4729]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1074,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1957_2) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4723,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2) = X5
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1074]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4724,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Oring(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4723]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1072,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2),X4,X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1958_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4719,plain,
% 0.87/1.19 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2),X4,X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Osemiring(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1072]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4720,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Osemiring(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4719]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1066,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.19 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.87/1.19 | X2 = X4
% 0.87/1.19 | X1 = X3 ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1960_0) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4707,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.19 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.87/1.19 | X2 = X4
% 0.87/1.19 | X1 = X3 ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1066]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1062,plain,
% 0.87/1.19 ( X0 = X1
% 0.87/1.19 | X2 = X3
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X4),c_HOL_Otimes__class_Otimes(X1,X2,X4),X4)
% 0.87/1.19 | ~ class_Int_Onumber__ring(X4)
% 0.87/1.19 | ~ class_Ring__and__Field_Oidom(X4) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1960_4) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4699,plain,
% 0.87/1.19 ( X0 = X1
% 0.87/1.19 | X2 = X3
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X4),c_HOL_Otimes__class_Otimes(X1,X2,X4),X4)
% 0.87/1.19 | ~ class_Int_Onumber__ring(X4)
% 0.87/1.19 | ~ class_Ring__and__Field_Oidom(X4) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1062]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4700,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.19 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.87/1.19 | X1 = X3
% 0.87/1.19 | X2 = X4 ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4699]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1060,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1961_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4695,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1060]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4696,plain,
% 0.87/1.19 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4695]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1058,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1962_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4691,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1058]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4692,plain,
% 0.87/1.19 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4691]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1056,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.87/1.19 | ~ class_Divides_Oring__div(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1963_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4687,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.87/1.19 | ~ class_Divides_Oring__div(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1056]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4688,plain,
% 0.87/1.19 ( ~ class_Divides_Oring__div(X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4687]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1048,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X2),X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.87/1.19 | ~ class_Divides_Oring__div(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1965_3) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4671,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X2),X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.87/1.19 | ~ class_Divides_Oring__div(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1048]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4672,plain,
% 0.87/1.19 ( ~ class_Divides_Oring__div(X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4671]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1044,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X2),X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1966_3) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4663,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X2),X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1044]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4664,plain,
% 0.87/1.19 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4663]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1040,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X2),X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1967_3) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4655,plain,
% 0.87/1.19 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X2),X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 0.87/1.19 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1040]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4656,plain,
% 0.87/1.19 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 0.87/1.19 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4655]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1033,plain,
% 0.87/1.19 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1969_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4641,plain,
% 0.87/1.19 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1033]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4642,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4641]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1031,plain,
% 0.87/1.19 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1970_1) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4637,plain,
% 0.87/1.19 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 0.87/1.19 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1031]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4638,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4637]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1026,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1972_0) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4627,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1026]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1023,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X2,X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.19 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1972_3) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4621,plain,
% 0.87/1.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ominus__class_Ominus(X2,X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 0.87/1.19 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.19 inference(copy,[status(esa)],[c_1023]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_4622,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.19 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.19 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.19 inference(rewriting,[status(thm)],[c_4621]) ).
% 0.87/1.19
% 0.87/1.19 cnf(c_1022,plain,
% 0.87/1.19 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.20 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1973_0) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4619,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.20 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_1022]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_1019,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1973_3) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4613,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_1019]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4614,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.20 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4613]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_1018,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.20 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1974_0) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4611,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.20 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_1018]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_1015,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1974_3) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4605,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_1015]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4606,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 0.87/1.20 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4605]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_1001,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.87/1.20 | ~ class_Int_Onumber__ring(X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1978_2) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4577,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.87/1.20 | ~ class_Int_Onumber__ring(X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_1001]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4578,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.20 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4577]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_995,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1980_2) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4565,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_995]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4566,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4565]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_992,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1981_2) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4559,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X0,X1),X1),X0,X1) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X0,X1),X1)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_992]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4560,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 0.87/1.20 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4559]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_990,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X3),X2,X3)
% 0.87/1.20 | ~ class_Divides_Oring__div(X3) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1982_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4555,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X3),X2,X3)
% 0.87/1.20 | ~ class_Divides_Oring__div(X3) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_990]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4556,plain,
% 0.87/1.20 ( ~ class_Divides_Oring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4555]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_988,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Divides_Oring__div(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1983_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4551,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Divides_Oring__div(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_988]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4552,plain,
% 0.87/1.20 ( ~ class_Divides_Oring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4551]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_984,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X3),X2,X3)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1985_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4543,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X3),X2,X3)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_984]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4544,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4543]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_982,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 0.87/1.20 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1986_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4539,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 0.87/1.20 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_982]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4540,plain,
% 0.87/1.20 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4539]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_976,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1989_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4527,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_976]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4528,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4527]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_974,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1990_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4523,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_974]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4524,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4523]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_972,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1991_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4519,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_972]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4520,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4519]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_970,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X3),X2,X3)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1992_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4515,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X3),X2,X3)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_970]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4516,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4515]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_968,plain,
% 0.87/1.20 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1993_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4511,plain,
% 0.87/1.20 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_968]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4512,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4511]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_963,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1994_4) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4501,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_963]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_958,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | X2 = X3
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 0.87/1.20 | ~ class_Int_Onumber__ring(X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1995_4) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4491,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | X2 = X3
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 0.87/1.20 | ~ class_Int_Onumber__ring(X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_958]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4492,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.20 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.20 | X3 = X4 ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4491]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_953,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),X2) = X0
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1997_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4481,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),X2) = X0
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_953]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4482,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),X0) = X1 ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4481]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_951,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2),c_Divides_Odiv__class_Omod(X1,X0,X2),X2) = X1
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_1998_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4477,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2),c_Divides_Odiv__class_Omod(X1,X0,X2),X2) = X1
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_951]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4478,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0) = X2 ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4477]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_947,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = X0
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2000_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4469,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2),c_Divides_Odiv__class_Omod(X0,X1,X2),X2) = X0
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_947]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4470,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0) = X1 ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4469]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_943,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2001_3) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4461,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_943]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4462,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 0.87/1.20 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4461]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_939,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2002_3) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4453,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_939]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4454,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4453]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_935,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2003_3) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4445,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_935]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4446,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4445]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_929,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X0,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2005_2) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4433,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X0,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_929]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4434,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.20 | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 0.87/1.20 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4433]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_926,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2006_2) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4427,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X0,X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_926]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4428,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.20 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4427]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_923,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2007_2) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4421,plain,
% 0.87/1.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_923]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4422,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.20 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4421]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_921,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2008_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4417,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_921]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4418,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4417]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_919,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2009_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4413,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_919]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4414,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4413]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_917,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2010_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4409,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_917]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4410,plain,
% 0.87/1.20 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4409]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_915,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2011_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4405,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_915]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4406,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4405]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_913,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(X0,X2,X3)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2012_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4401,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(X0,X2,X3)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_913]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4402,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4401]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_911,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),X1,X3) = c_Divides_Odiv__class_Omod(X0,X1,X3)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2013_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4397,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),X1,X3) = c_Divides_Odiv__class_Omod(X0,X1,X3)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_911]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4398,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4397]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_909,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2014_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4393,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_909]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4394,plain,
% 0.87/1.20 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4393]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_907,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2015_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4389,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_907]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4390,plain,
% 0.87/1.20 ( ~ class_RealVector_Oreal__vector(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4389]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_903,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2017_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4381,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_903]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4382,plain,
% 0.87/1.20 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.87/1.20 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4381]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_899,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2019_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4373,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_899]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4374,plain,
% 0.87/1.20 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.87/1.20 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4373]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_897,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2020_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4369,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_897]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4370,plain,
% 0.87/1.20 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.20 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4369]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_895,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2021_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4365,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_895]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4366,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.20 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4365]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_891,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2023_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4357,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_891]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4358,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4357]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_889,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2024_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4353,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_889]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4354,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4353]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_885,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2026_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4345,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_885]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4346,plain,
% 0.87/1.20 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4345]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_881,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2028_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4337,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_881]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4338,plain,
% 0.87/1.20 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4337]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_879,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2029_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4333,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_879]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4334,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4333]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_877,plain,
% 0.87/1.20 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2030_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4329,plain,
% 0.87/1.20 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_877]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4330,plain,
% 0.87/1.20 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4329]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_875,plain,
% 0.87/1.20 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2031_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4325,plain,
% 0.87/1.20 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_875]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4326,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4325]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_873,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2032_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4321,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_873]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4322,plain,
% 0.87/1.20 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.87/1.20 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4321]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_871,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2033_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4317,plain,
% 0.87/1.20 ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),c_RealVector_OscaleR__class_OscaleR(X0,X3,X2),X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
% 0.87/1.20 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_871]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4318,plain,
% 0.87/1.20 ( ~ class_RealVector_Oreal__vector(X0)
% 0.87/1.20 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4317]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_869,plain,
% 0.87/1.20 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0)
% 0.87/1.20 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2034_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4313,plain,
% 0.87/1.20 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0)
% 0.87/1.20 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_869]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4314,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Oring__1(X0)
% 0.87/1.20 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4313]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_855,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 0.87/1.20 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2038_2) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4285,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = X3
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X4,X1,X2),X2) != c_HOL_Oplus__class_Oplus(X4,X3,X2)
% 0.87/1.20 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_855]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4286,plain,
% 0.87/1.20 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4285]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_853,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X0,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 0.87/1.20 | ~ class_Divides_Oring__div(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2039_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4281,plain,
% 0.87/1.20 ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X0,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 0.87/1.20 | ~ class_Divides_Oring__div(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_853]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4282,plain,
% 0.87/1.20 ( ~ class_Divides_Oring__div(X0)
% 0.87/1.20 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4281]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_850,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2040_2) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4275,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_850]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4276,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4275]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_847,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2041_2) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4269,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_847]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4270,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4269]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_844,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2042_2) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4263,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_844]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4264,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4263]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_831,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X0,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2046_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4237,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X0,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_831]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4238,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4237]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_829,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X2),X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2047_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4233,plain,
% 0.87/1.20 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X2),X2),X1,X2)
% 0.87/1.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_829]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4234,plain,
% 0.87/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4233]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_823,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2049_1) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4221,plain,
% 0.87/1.20 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.20 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.20 inference(copy,[status(esa)],[c_823]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4222,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.20 inference(rewriting,[status(thm)],[c_4221]) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_821,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.20 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.20 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2049_3) ).
% 0.87/1.20
% 0.87/1.20 cnf(c_4217,plain,
% 0.87/1.20 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_821]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_817,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2050_3) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4209,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_817]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4210,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4209]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_813,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2051_3) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4201,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_813]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4202,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4201]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_810,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X0,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2052_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4195,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X0,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_810]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4196,plain,
% 0.87/1.21 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 0.87/1.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4195]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_807,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X2,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2053_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4189,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X0,X2,X1),X0,X1) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_807]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4190,plain,
% 0.87/1.21 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 0.87/1.21 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4189]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_804,plain,
% 0.87/1.21 ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1)
% 0.87/1.21 | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Divides_Odiv__class_Omod(X3,X2,X1)
% 0.87/1.21 | ~ class_Divides_Oring__div(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2054_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4183,plain,
% 0.87/1.21 ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1)
% 0.87/1.21 | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Divides_Odiv__class_Omod(X3,X2,X1)
% 0.87/1.21 | ~ class_Divides_Oring__div(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_804]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4184,plain,
% 0.87/1.21 ( ~ class_Divides_Oring__div(X0)
% 0.87/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0)
% 0.87/1.21 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4183]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_802,plain,
% 0.87/1.21 ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
% 0.87/1.21 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2055_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4179,plain,
% 0.87/1.21 ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
% 0.87/1.21 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_802]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4180,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.87/1.21 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4179]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_796,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2057_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4167,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_796]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4168,plain,
% 0.87/1.21 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 0.87/1.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4167]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_793,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2058_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4161,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_793]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4162,plain,
% 0.87/1.21 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 0.87/1.21 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4161]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_791,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 0.87/1.21 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2059_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4157,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 0.87/1.21 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_791]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4158,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4157]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_787,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__vector(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2061_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4149,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__vector(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_787]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4150,plain,
% 0.87/1.21 ( ~ class_RealVector_Oreal__vector(X0)
% 0.87/1.21 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4149]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_785,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__vector(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2062_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4145,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__vector(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_785]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4146,plain,
% 0.87/1.21 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.87/1.21 | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4145]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_783,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__field(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2063_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4141,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__field(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_783]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4142,plain,
% 0.87/1.21 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.21 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4141]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_781,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__algebra(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2064_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4137,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__algebra(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_781]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4138,plain,
% 0.87/1.21 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.87/1.21 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4137]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_779,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__algebra(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2065_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4133,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__algebra(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_779]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4134,plain,
% 0.87/1.21 ( ~ class_RealVector_Oreal__algebra(X0)
% 0.87/1.21 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4133]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_775,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2067_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4125,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_775]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4126,plain,
% 0.87/1.21 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.87/1.21 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4125]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_771,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2069_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4117,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_771]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4118,plain,
% 0.87/1.21 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.87/1.21 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4117]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_767,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2071_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4109,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_767]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4110,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4109]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_765,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2072_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4105,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X3,X2),X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_765]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4106,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4105]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_761,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2074_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4097,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_761]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4098,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4097]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_759,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2075_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4093,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_759]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4094,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4093]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_757,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2076_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4089,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_757]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4090,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4089]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_755,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.21 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2077_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4085,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 0.87/1.21 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_755]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4086,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4085]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_753,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2078_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4081,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_753]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4082,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4081]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_749,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2080_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4073,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_749]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4074,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4073]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_745,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2082_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4065,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_745]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4066,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4065]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_743,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2083_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4061,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_743]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4062,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4061]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_741,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2084_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4057,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_741]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4058,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4057]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_739,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2085_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4053,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_739]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4054,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4053]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_736,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2086_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4047,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_736]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4048,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4047]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_733,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2087_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4041,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_733]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4042,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4041]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_728,plain,
% 0.87/1.21 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X0) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2089_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4031,plain,
% 0.87/1.21 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X0) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_728]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4032,plain,
% 0.87/1.21 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.21 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4031]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_726,plain,
% 0.87/1.21 ( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2090_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4027,plain,
% 0.87/1.21 ( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_726]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4028,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.21 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4027]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_724,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
% 0.87/1.21 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2091_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4023,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
% 0.87/1.21 | ~ class_Ring__and__Field_Oidom(X0) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_724]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4024,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4023]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_722,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2092_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4019,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_722]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4020,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4019]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_717,plain,
% 0.87/1.21 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 0.87/1.21 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.21 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2093_4) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4009,plain,
% 0.87/1.21 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 0.87/1.21 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.21 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_717]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_4010,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 0.87/1.21 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 0.87/1.21 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_4009]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_703,plain,
% 0.87/1.21 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) != X3
% 0.87/1.21 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2097_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3981,plain,
% 0.87/1.21 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) != X3
% 0.87/1.21 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_703]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3982,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 0.87/1.21 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3981]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_694,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2100_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3963,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_694]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3964,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3963]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_691,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2101_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3957,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_691]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3958,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3957]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_689,plain,
% 0.87/1.21 ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X0,X2),X2)
% 0.87/1.21 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2102_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3953,plain,
% 0.87/1.21 ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X0,X2),X2)
% 0.87/1.21 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_689]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3954,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 0.87/1.21 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3953]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_687,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(X0,X0,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X0,X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2103_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3949,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(X0,X0,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X0,X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_687]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3950,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3949]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_686,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 0.87/1.21 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2104_0) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3947,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 0.87/1.21 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_686]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_683,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2104_3) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3941,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_683]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3942,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 0.87/1.21 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.21 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3941]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_665,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2110_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3905,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_665]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3906,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.87/1.21 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 0.87/1.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3905]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_664,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2111_0) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3903,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_664]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_663,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2111_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3901,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_663]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_661,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2111_3) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3897,plain,
% 0.87/1.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 0.87/1.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_661]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3898,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 0.87/1.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3897]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_659,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2112_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3893,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_659]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3894,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3893]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_657,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X0,X1),X1)
% 0.87/1.21 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2113_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3889,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X0,X1),X1)
% 0.87/1.21 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_657]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3890,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3889]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_655,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2114_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3885,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_655]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3886,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3885]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_653,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2115_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3881,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_653]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3882,plain,
% 0.87/1.21 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3881]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_651,plain,
% 0.87/1.21 ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2116_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3877,plain,
% 0.87/1.21 ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_651]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3878,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.21 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3877]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_649,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2117_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3873,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_649]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3874,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3873]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_647,plain,
% 0.87/1.21 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2118_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3869,plain,
% 0.87/1.21 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_647]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3870,plain,
% 0.87/1.21 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.21 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3869]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_645,plain,
% 0.87/1.21 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2119_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3865,plain,
% 0.87/1.21 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_645]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3866,plain,
% 0.87/1.21 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3865]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_643,plain,
% 0.87/1.21 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X1,X0,X2)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2120_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3861,plain,
% 0.87/1.21 ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X0,X1,X2),X0,X2) = c_Divides_Odiv__class_Omod(X1,X0,X2)
% 0.87/1.21 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_643]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3862,plain,
% 0.87/1.21 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.21 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3861]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_641,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2121_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3857,plain,
% 0.87/1.21 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 0.87/1.21 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_641]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3858,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 0.87/1.21 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3857]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_639,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = X2
% 0.87/1.21 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2122_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3853,plain,
% 0.87/1.21 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = X2
% 0.87/1.21 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_639]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3854,plain,
% 0.87/1.21 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.21 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3853]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_630,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2125_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3835,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_630]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3836,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.21 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 0.87/1.21 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3835]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_627,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2126_2) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3829,plain,
% 0.87/1.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.21 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_627]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3830,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.21 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 0.87/1.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3829]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_625,plain,
% 0.87/1.21 ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2127_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3825,plain,
% 0.87/1.21 ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_625]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3826,plain,
% 0.87/1.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.21 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3825]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_623,plain,
% 0.87/1.21 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2128_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3821,plain,
% 0.87/1.21 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_623]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3822,plain,
% 0.87/1.21 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.21 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3821]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_621,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2129_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3817,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 0.87/1.21 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_621]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3818,plain,
% 0.87/1.21 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.87/1.21 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 0.87/1.21 inference(rewriting,[status(thm)],[c_3817]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_619,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 0.87/1.21 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.87/1.21 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2130_1) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3813,plain,
% 0.87/1.21 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 0.87/1.21 | ~ class_RealVector_Oreal__vector(X2) ),
% 0.87/1.21 inference(copy,[status(esa)],[c_619]) ).
% 0.87/1.21
% 0.87/1.21 cnf(c_3814,plain,
% 0.87/1.22 ( ~ class_RealVector_Oreal__vector(X0)
% 0.87/1.22 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3813]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_615,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.87/1.22 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2132_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3805,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.87/1.22 | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_615]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3806,plain,
% 0.87/1.22 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3805]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_611,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.22 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2134_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3797,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.22 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_611]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3798,plain,
% 0.87/1.22 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3797]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_609,plain,
% 0.87/1.22 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2135_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3793,plain,
% 0.87/1.22 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_609]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3794,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.22 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3793]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_607,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2136_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3789,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_607]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3790,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oring(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3789]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_605,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2137_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3785,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_605]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3786,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oring(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3785]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_601,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2138_3) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3777,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_601]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3778,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 0.87/1.22 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 0.87/1.22 | X1 = X2 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3777]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_599,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1) = X2
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2139_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3773,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X0,X2,X1),X1) = X2
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_599]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3774,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3773]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_597,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X2,X0,X1),X1) = X2
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2140_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3769,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oplus__class_Oplus(X2,X0,X1),X1) = X2
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_597]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3770,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3769]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_585,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2144_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3745,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_585]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3746,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3745]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_582,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2145_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3739,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_582]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3740,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3739]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_579,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2146_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3733,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_579]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3734,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3733]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_576,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2147_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3727,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_576]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3728,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3727]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_572,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X3)
% 0.87/1.22 | ~ class_Ring__and__Field_Oidom(X3) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2148_3) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3719,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X3)
% 0.87/1.22 | ~ class_Ring__and__Field_Oidom(X3) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_572]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3720,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.87/1.22 | X2 = X3 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3719]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_570,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2149_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3715,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_570]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3716,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3715]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_566,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X3)
% 0.87/1.22 | c_RealVector_OscaleR__class_OscaleR(X0,X2,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
% 0.87/1.22 | ~ class_RealVector_Oreal__vector(X3) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2150_3) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3707,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X3)
% 0.87/1.22 | c_RealVector_OscaleR__class_OscaleR(X0,X2,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
% 0.87/1.22 | ~ class_RealVector_Oreal__vector(X3) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_566]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3708,plain,
% 0.87/1.22 ( ~ class_RealVector_Oreal__vector(X0)
% 0.87/1.22 | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = X3 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3707]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_564,plain,
% 0.87/1.22 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2151_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3703,plain,
% 0.87/1.22 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2) = c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_564]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3704,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.22 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3703]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_545,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 0.87/1.22 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2156_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3665,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X0,X2,X3) != c_HOL_Oplus__class_Oplus(X1,X2,X3)
% 0.87/1.22 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_545]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3666,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 0.87/1.22 | X1 = X3 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3665]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_542,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2157_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3659,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_542]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3660,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 0.87/1.22 | X1 = X2 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3659]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_539,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2158_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3653,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_539]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3654,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 0.87/1.22 | X2 = X3 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3653]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_536,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.87/1.22 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2159_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3647,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.87/1.22 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_536]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3648,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.87/1.22 | X2 = X3 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3647]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_533,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.87/1.22 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2160_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3641,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X2,X0,X3) != c_HOL_Oplus__class_Oplus(X2,X1,X3)
% 0.87/1.22 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_533]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3642,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 0.87/1.22 | X2 = X3 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3641]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_527,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 0.87/1.22 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2162_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3629,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 0.87/1.22 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_527]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3630,plain,
% 0.87/1.22 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3629]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_524,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 0.87/1.22 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2163_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3623,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 0.87/1.22 | ~ class_Divides_Osemiring__div(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_524]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3624,plain,
% 0.87/1.22 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3623]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_518,plain,
% 0.87/1.22 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2165_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3611,plain,
% 0.87/1.22 ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_518]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3612,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.22 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3611]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_515,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2166_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3605,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_515]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3606,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3605]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_512,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2167_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3599,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_512]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3600,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3599]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_509,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2168_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3593,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_509]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3594,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3593]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_506,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2169_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3587,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_506]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3588,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3587]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_503,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X0,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2170_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3581,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X0,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_503]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3582,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.22 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3581]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_501,plain,
% 0.87/1.22 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2171_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3577,plain,
% 0.87/1.22 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_501]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3578,plain,
% 0.87/1.22 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.22 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3577]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_499,plain,
% 0.87/1.22 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2172_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3573,plain,
% 0.87/1.22 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_499]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3574,plain,
% 0.87/1.22 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.22 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3573]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_497,plain,
% 0.87/1.22 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2173_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3569,plain,
% 0.87/1.22 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_Divides_Osemiring__div(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_497]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3570,plain,
% 0.87/1.22 ( ~ class_Divides_Osemiring__div(X0)
% 0.87/1.22 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3569]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_495,plain,
% 0.87/1.22 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2174_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3565,plain,
% 0.87/1.22 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),X1,X2) = X0
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_495]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3566,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3565]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_493,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2175_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3561,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,X2),X1,X2) = X0
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_493]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3562,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3561]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_491,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Odvd(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2176_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3557,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Odvd(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_491]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3558,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Odvd(X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3557]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_489,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2177_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3553,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_489]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3554,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3553]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_487,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2178_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3549,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_487]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3550,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3549]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_485,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2179_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3545,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_485]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3546,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oring(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3545]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_483,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2180_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3541,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_483]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3542,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3541]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_481,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X2,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2181_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3537,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X2,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_481]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3538,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oring(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3537]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_479,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2182_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3533,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_479]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3534,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3533]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_470,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2185_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3515,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_470]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3516,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3515]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_468,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2186_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3511,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_468]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3512,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3511]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_466,plain,
% 0.87/1.22 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2187_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3507,plain,
% 0.87/1.22 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oplus__class_Oplus(X0,X1,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_466]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3508,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3507]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_462,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2189_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3499,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_462]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3500,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3499]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_460,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2190_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3495,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_460]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3496,plain,
% 0.87/1.22 ( ~ class_Int_Onumber__ring(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3495]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_458,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2191_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3491,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_458]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3492,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3491]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_456,plain,
% 0.87/1.22 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 0.87/1.22 | ~ class_RealVector_Oreal__vector(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2192_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3487,plain,
% 0.87/1.22 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 0.87/1.22 | ~ class_RealVector_Oreal__vector(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_456]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3488,plain,
% 0.87/1.22 ( ~ class_RealVector_Oreal__vector(X0)
% 0.87/1.22 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3487]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_454,plain,
% 0.87/1.22 ( c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 0.87/1.22 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2193_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3483,plain,
% 0.87/1.22 ( c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 0.87/1.22 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_454]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3484,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3483]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_446,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2195_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3467,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 0.87/1.22 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_446]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3468,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3467]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_442,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2197_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3459,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,X1,X2) = c_HOL_Oplus__class_Oplus(X1,X0,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_442]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3460,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3459]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_438,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2199_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3451,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_438]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3452,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3451]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_435,plain,
% 0.87/1.22 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2200_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3445,plain,
% 0.87/1.22 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_435]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3446,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3445]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_432,plain,
% 0.87/1.22 ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2201_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3439,plain,
% 0.87/1.22 ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_432]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3440,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3439]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_430,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2202_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3435,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_430]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3436,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3435]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_427,plain,
% 0.87/1.22 ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2203_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3429,plain,
% 0.87/1.22 ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_427]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3430,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.22 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3429]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_425,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1) = X0
% 0.87/1.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2204_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3425,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1) = X0
% 0.87/1.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_425]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3426,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = X1 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3425]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_423,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X0) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2205_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3421,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X0) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_423]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3422,plain,
% 0.87/1.22 ( ~ class_Int_Onumber__ring(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3421]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_418,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2207_0) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3411,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_418]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_415,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2207_3) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3405,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_415]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3406,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3405]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_414,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2208_0) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3403,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_414]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_411,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2208_3) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3397,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_411]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3398,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3397]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_407,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2209_3) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3389,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oidom(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_407]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3390,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = X2 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3389]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_404,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2210_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3383,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_404]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3384,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 0.87/1.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3383]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_400,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 0.87/1.22 | ~ class_Int_Onumber__ring(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2211_3) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3375,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X2,X0,X1) != X2
% 0.87/1.22 | ~ class_Int_Onumber__ring(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_400]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3376,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3375]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_396,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2212_3) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3367,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_396]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3368,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.22 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 0.87/1.22 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = X2 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3367]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_393,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2213_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3361,plain,
% 0.87/1.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 0.87/1.22 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_393]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3362,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 0.87/1.22 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3361]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_390,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2214_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3355,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X0,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_390]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3356,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3355]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_387,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2215_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3349,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_387]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3350,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 0.87/1.22 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3349]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_384,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2216_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3343,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_384]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3344,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = X2 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3343]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_381,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2217_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3337,plain,
% 0.87/1.22 ( X0 = X1
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_381]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3338,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.22 | X1 = X2 ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3337]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_379,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2218_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3333,plain,
% 0.87/1.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_379]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3334,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3333]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_376,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2219_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3327,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_376]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3328,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3327]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_373,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2220_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3321,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_373]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3322,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3321]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_370,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2221_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3315,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_370]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3316,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.22 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3315]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_358,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2225_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3291,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 0.87/1.22 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_358]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3292,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 0.87/1.22 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3291]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_355,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | 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)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2226_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3285,plain,
% 0.87/1.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | 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)
% 0.87/1.22 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_355]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3286,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 0.87/1.22 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 0.87/1.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3285]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_351,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2228_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3277,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_351]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3278,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3277]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_349,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2229_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3273,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_349]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3274,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3273]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_347,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2230_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3269,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_347]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3270,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3269]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_344,plain,
% 0.87/1.22 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2231_2) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3263,plain,
% 0.87/1.22 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_344]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3264,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.22 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.22 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3263]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_342,plain,
% 0.87/1.22 ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),X1)
% 0.87/1.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2232_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3259,plain,
% 0.87/1.22 ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),X1)
% 0.87/1.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_342]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3260,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.87/1.22 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3259]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_340,plain,
% 0.87/1.22 ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1)
% 0.87/1.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2233_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3255,plain,
% 0.87/1.22 ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),X1)
% 0.87/1.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_340]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3256,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.87/1.22 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3255]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_335,plain,
% 0.87/1.22 ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X0,X1),X1)
% 0.87/1.22 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2235_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3245,plain,
% 0.87/1.22 ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X0,X1),X1)
% 0.87/1.22 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_335]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3246,plain,
% 0.87/1.22 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 0.87/1.22 | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3245]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_330,plain,
% 0.87/1.22 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2237_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3235,plain,
% 0.87/1.22 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 0.87/1.22 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_330]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3236,plain,
% 0.87/1.22 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.22 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3235]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_328,plain,
% 0.87/1.22 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 0.87/1.22 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2238_1) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3231,plain,
% 0.87/1.22 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 0.87/1.22 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 0.87/1.22 inference(copy,[status(esa)],[c_328]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_3232,plain,
% 0.87/1.22 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 0.87/1.22 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 0.87/1.22 inference(rewriting,[status(thm)],[c_3231]) ).
% 0.87/1.22
% 0.87/1.22 cnf(c_313,plain,
% 0.87/1.22 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.23 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 0.87/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2243_1) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3201,plain,
% 0.87/1.23 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.23 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 0.87/1.23 inference(copy,[status(esa)],[c_313]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3202,plain,
% 0.87/1.23 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 0.87/1.23 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.23 inference(rewriting,[status(thm)],[c_3201]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_310,plain,
% 0.87/1.23 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.87/1.23 | ~ class_Int_Onumber__ring(X1)
% 0.87/1.23 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2244_2) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3195,plain,
% 0.87/1.23 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 0.87/1.23 | ~ class_Int_Onumber__ring(X1)
% 0.87/1.23 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.23 inference(copy,[status(esa)],[c_310]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3196,plain,
% 0.87/1.23 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.23 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.23 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 0.87/1.23 inference(rewriting,[status(thm)],[c_3195]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_307,plain,
% 0.87/1.23 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.23 | ~ class_Int_Onumber__ring(X1)
% 0.87/1.23 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2245_2) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3189,plain,
% 0.87/1.23 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.23 | ~ class_Int_Onumber__ring(X1)
% 0.87/1.23 | ~ class_Ring__and__Field_Oidom(X1) ),
% 0.87/1.23 inference(copy,[status(esa)],[c_307]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3190,plain,
% 0.87/1.23 ( ~ class_Ring__and__Field_Oidom(X0)
% 0.87/1.23 | ~ class_Int_Onumber__ring(X0)
% 0.87/1.23 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.23 inference(rewriting,[status(thm)],[c_3189]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_305,plain,
% 0.87/1.23 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.23 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 0.87/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2246_1) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3185,plain,
% 0.87/1.23 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.23 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 0.87/1.23 inference(copy,[status(esa)],[c_305]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3186,plain,
% 0.87/1.23 ( ~ class_RealVector_Oreal__normed__field(X0)
% 0.87/1.23 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.23 inference(rewriting,[status(thm)],[c_3185]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_303,plain,
% 0.87/1.23 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.23 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2247_1) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3181,plain,
% 0.87/1.23 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 0.87/1.23 | ~ class_Ring__and__Field_Ofield(X0) ),
% 0.87/1.23 inference(copy,[status(esa)],[c_303]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3182,plain,
% 0.87/1.23 ( ~ class_Ring__and__Field_Ofield(X0)
% 0.87/1.23 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 0.87/1.23 inference(rewriting,[status(thm)],[c_3181]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_301,plain,
% 0.87/1.23 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.23 | ~ class_RealVector_Oreal__vector(X1) ),
% 0.87/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2248_1) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3177,plain,
% 0.87/1.23 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 0.87/1.23 | ~ class_RealVector_Oreal__vector(X1) ),
% 0.87/1.23 inference(copy,[status(esa)],[c_301]) ).
% 0.87/1.23
% 0.87/1.23 cnf(c_3178,plain,
% 0.87/1.23 ( ~ class_RealVector_Oreal__vector(X0)
% 0.87/1.23 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3177]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_299,plain,
% 1.00/1.23 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2249_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3173,plain,
% 1.00/1.23 ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_299]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3174,plain,
% 1.00/1.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.00/1.23 | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3173]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_297,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2250_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3169,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_297]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3170,plain,
% 1.00/1.23 ( ~ class_Divides_Osemiring__div(X0)
% 1.00/1.23 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3169]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_295,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2251_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3165,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_295]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3166,plain,
% 1.00/1.23 ( ~ class_Divides_Osemiring__div(X0)
% 1.00/1.23 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3165]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_293,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2252_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3161,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_293]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3162,plain,
% 1.00/1.23 ( ~ class_Divides_Osemiring__div(X0)
% 1.00/1.23 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3161]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_289,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2254_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3153,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_289]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3154,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3153]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_285,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2256_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3145,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_285]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3146,plain,
% 1.00/1.23 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3145]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_281,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2258_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3137,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_281]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3138,plain,
% 1.00/1.23 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3137]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_279,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2259_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3133,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_279]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3134,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3133]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_277,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2260_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3129,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_277]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3130,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3129]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_275,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2261_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3125,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_275]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3126,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3125]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_273,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2262_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3121,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_273]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3122,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3121]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_271,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2263_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3117,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_271]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3118,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3117]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_269,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2264_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3113,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_269]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3114,plain,
% 1.00/1.23 ( ~ class_Divides_Osemiring__div(X0)
% 1.00/1.23 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3113]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_267,plain,
% 1.00/1.23 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2265_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3109,plain,
% 1.00/1.23 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_267]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3110,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.00/1.23 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3109]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_264,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2266_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3103,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_264]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3104,plain,
% 1.00/1.23 ( ~ class_Divides_Osemiring__div(X0)
% 1.00/1.23 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3103]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_258,plain,
% 1.00/1.23 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 1.00/1.23 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Ofield(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2268_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3091,plain,
% 1.00/1.23 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 1.00/1.23 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Ofield(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_258]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3092,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.00/1.23 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3091]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_254,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2270_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3083,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_254]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3084,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.00/1.23 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3083]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_252,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2271_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3079,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_252]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3080,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.00/1.23 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3079]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_250,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2272_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3075,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_250]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3076,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.00/1.23 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3075]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_248,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2273_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3071,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_248]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3072,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 1.00/1.23 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3071]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_246,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2274_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3067,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_246]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3068,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 1.00/1.23 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3067]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_244,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2275_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3063,plain,
% 1.00/1.23 ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Omonoid__add(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_244]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3064,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 1.00/1.23 | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3063]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_242,plain,
% 1.00/1.23 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2276_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3059,plain,
% 1.00/1.23 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_242]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3060,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.00/1.23 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3059]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_240,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2277_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3055,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_240]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3056,plain,
% 1.00/1.23 ( ~ class_Divides_Osemiring__div(X0)
% 1.00/1.23 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3055]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_238,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2278_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3051,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_238]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3052,plain,
% 1.00/1.23 ( ~ class_Divides_Osemiring__div(X0)
% 1.00/1.23 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3051]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_234,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2280_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3043,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_234]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3044,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3043]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_232,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2281_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3039,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_232]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3040,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3039]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_230,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2282_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3035,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_230]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3036,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3035]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_228,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2283_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3031,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 1.00/1.23 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_228]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3032,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3031]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_226,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2284_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3027,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_226]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3028,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3027]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_224,plain,
% 1.00/1.23 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 1.00/1.23 | ~ class_Ring__and__Field_Ofield(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2285_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3023,plain,
% 1.00/1.23 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 1.00/1.23 | ~ class_Ring__and__Field_Ofield(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_224]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3024,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ofield(X0)
% 1.00/1.23 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3023]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_222,plain,
% 1.00/1.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2286_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3019,plain,
% 1.00/1.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_222]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3020,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.00/1.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3019]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_220,plain,
% 1.00/1.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2287_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3015,plain,
% 1.00/1.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_220]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3016,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.00/1.23 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3015]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_216,plain,
% 1.00/1.23 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2289_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3007,plain,
% 1.00/1.23 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_216]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3008,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.00/1.23 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3007]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_214,plain,
% 1.00/1.23 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2290_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3003,plain,
% 1.00/1.23 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_214]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3004,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 1.00/1.23 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_3003]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_212,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2291_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2999,plain,
% 1.00/1.23 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Divides_Osemiring__div(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_212]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_3000,plain,
% 1.00/1.23 ( ~ class_Divides_Osemiring__div(X0)
% 1.00/1.23 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2999]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_207,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | X0 = X2
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2292_4) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2989,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | X0 = X2
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_207]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2990,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | X1 = X2 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2989]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_205,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2293_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2985,plain,
% 1.00/1.23 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_205]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2986,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 1.00/1.23 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2985]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_203,plain,
% 1.00/1.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2294_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2981,plain,
% 1.00/1.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_203]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2982,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.00/1.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2981]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_201,plain,
% 1.00/1.23 ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 1.00/1.23 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2295_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2977,plain,
% 1.00/1.23 ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 1.00/1.23 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_201]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2978,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.00/1.23 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2977]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_199,plain,
% 1.00/1.23 ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 1.00/1.23 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2296_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2973,plain,
% 1.00/1.23 ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 1.00/1.23 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_199]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2974,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.00/1.23 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2973]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_197,plain,
% 1.00/1.23 ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2297_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2969,plain,
% 1.00/1.23 ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_197]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2970,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2969]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_187,plain,
% 1.00/1.23 ( X0 = X1
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2300_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2949,plain,
% 1.00/1.23 ( X0 = X1
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_187]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2950,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.00/1.23 | X1 = X2 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2949]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_184,plain,
% 1.00/1.23 ( X0 = X1
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 1.00/1.23 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2301_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2943,plain,
% 1.00/1.23 ( X0 = X1
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 1.00/1.23 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_184]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2944,plain,
% 1.00/1.23 ( ~ class_Lattices_Oboolean__algebra(X0)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.00/1.23 | X1 = X2 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2943]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_181,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 1.00/1.23 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2302_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2937,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 1.00/1.23 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_181]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2938,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2937]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_169,plain,
% 1.00/1.23 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 1.00/1.23 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2306_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2913,plain,
% 1.00/1.23 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 1.00/1.23 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_169]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2914,plain,
% 1.00/1.23 ( ~ class_Lattices_Oboolean__algebra(X0)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2913]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_163,plain,
% 1.00/1.23 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2309_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2901,plain,
% 1.00/1.23 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_163]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2902,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2901]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_157,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2311_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2889,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_157]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2890,plain,
% 1.00/1.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2889]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_154,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2312_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2883,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_154]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2884,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2883]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_151,plain,
% 1.00/1.23 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2313_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2877,plain,
% 1.00/1.23 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_151]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2878,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.00/1.23 | c_HOL_Ozero__class_Ozero(X0) = X1
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2877]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_148,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2314_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2871,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_148]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2872,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2871]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_145,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2315_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2865,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_145]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2866,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2865]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_142,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2316_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2859,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_142]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2860,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.00/1.23 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2859]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_140,plain,
% 1.00/1.23 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2317_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2855,plain,
% 1.00/1.23 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_140]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2856,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.00/1.23 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2855]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_128,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 1.00/1.23 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2321_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2831,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 1.00/1.23 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_128]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2832,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2831]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_125,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ c_Int_Oiszero(X0,X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2322_2) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2825,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 1.00/1.23 | ~ c_Int_Oiszero(X0,X1)
% 1.00/1.23 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_125]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2826,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.00/1.23 | ~ c_Int_Oiszero(X1,X0)
% 1.00/1.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2825]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_123,plain,
% 1.00/1.23 ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2323_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2821,plain,
% 1.00/1.23 ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_123]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2822,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.00/1.23 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2821]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_121,plain,
% 1.00/1.23 ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2324_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2817,plain,
% 1.00/1.23 ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_121]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2818,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.00/1.23 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2817]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_119,plain,
% 1.00/1.23 ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2325_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2813,plain,
% 1.00/1.23 ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_119]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2814,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.00/1.23 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2813]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_117,plain,
% 1.00/1.23 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2326_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2809,plain,
% 1.00/1.23 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_117]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2810,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2809]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_115,plain,
% 1.00/1.23 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2327_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2805,plain,
% 1.00/1.23 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_115]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2806,plain,
% 1.00/1.23 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2805]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_113,plain,
% 1.00/1.23 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2328_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2801,plain,
% 1.00/1.23 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_113]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2802,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Osgn__if(X0)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2801]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_111,plain,
% 1.00/1.23 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2329_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2797,plain,
% 1.00/1.23 ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_111]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2798,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2797]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_107,plain,
% 1.00/1.23 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2331_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2789,plain,
% 1.00/1.23 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_107]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2790,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2789]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_105,plain,
% 1.00/1.23 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2332_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2785,plain,
% 1.00/1.23 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_105]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2786,plain,
% 1.00/1.23 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.00/1.23 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2785]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_103,plain,
% 1.00/1.23 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2333_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2781,plain,
% 1.00/1.23 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_103]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2782,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.00/1.23 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2781]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_101,plain,
% 1.00/1.23 ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2334_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2777,plain,
% 1.00/1.23 ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 1.00/1.23 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_101]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2778,plain,
% 1.00/1.23 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 1.00/1.23 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2777]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_99,plain,
% 1.00/1.23 ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2335_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2773,plain,
% 1.00/1.23 ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_99]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2774,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.00/1.23 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2773]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_97,plain,
% 1.00/1.23 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2336_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2769,plain,
% 1.00/1.23 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_97]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2770,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.00/1.23 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2769]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_93,plain,
% 1.00/1.23 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2338_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2761,plain,
% 1.00/1.23 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.00/1.23 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_93]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2762,plain,
% 1.00/1.23 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.00/1.23 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2761]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_91,plain,
% 1.00/1.23 ( X0 = X1 | c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2339_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2757,plain,
% 1.00/1.23 ( X0 = X1 | c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_91]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2758,plain,
% 1.00/1.23 ( c_Complex_Ocnj(X0) != c_Complex_Ocnj(X1) | X0 = X1 ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2757]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_89,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 1.00/1.23 | c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2340_1) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2753,plain,
% 1.00/1.23 ( X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 1.00/1.23 | c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_89]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2754,plain,
% 1.00/1.23 ( c_Complex_Ocnj(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 1.00/1.23 | X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(rewriting,[status(thm)],[c_2753]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_88,plain,
% 1.00/1.23 ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2343_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2751,plain,
% 1.00/1.23 ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 1.00/1.23 inference(copy,[status(esa)],[c_88]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_85,plain,
% 1.00/1.23 ( class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2344_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2747,plain,
% 1.00/1.23 ( class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_85]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_84,plain,
% 1.00/1.23 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2345_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2745,plain,
% 1.00/1.23 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_84]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_83,plain,
% 1.00/1.23 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2346_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2743,plain,
% 1.00/1.23 ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_83]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_82,plain,
% 1.00/1.23 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2347_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2741,plain,
% 1.00/1.23 ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_82]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_81,plain,
% 1.00/1.23 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2348_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2739,plain,
% 1.00/1.23 ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_81]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_80,plain,
% 1.00/1.23 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2349_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2737,plain,
% 1.00/1.23 ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_80]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_79,plain,
% 1.00/1.23 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2350_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2735,plain,
% 1.00/1.23 ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_79]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_78,plain,
% 1.00/1.23 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2351_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2733,plain,
% 1.00/1.23 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_78]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_77,plain,
% 1.00/1.23 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2352_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2731,plain,
% 1.00/1.23 ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_77]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_76,plain,
% 1.00/1.23 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2353_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2729,plain,
% 1.00/1.23 ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_76]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_75,plain,
% 1.00/1.23 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2354_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2727,plain,
% 1.00/1.23 ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_75]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_74,plain,
% 1.00/1.23 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2355_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2725,plain,
% 1.00/1.23 ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_74]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_73,plain,
% 1.00/1.23 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2356_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2723,plain,
% 1.00/1.23 ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_73]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_72,plain,
% 1.00/1.23 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2357_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2721,plain,
% 1.00/1.23 ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_72]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_71,plain,
% 1.00/1.23 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2358_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2719,plain,
% 1.00/1.23 ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_71]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_70,plain,
% 1.00/1.23 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2359_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2717,plain,
% 1.00/1.23 ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_70]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_69,plain,
% 1.00/1.23 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2360_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2715,plain,
% 1.00/1.23 ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_69]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_68,plain,
% 1.00/1.23 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2361_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2713,plain,
% 1.00/1.23 ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_68]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_67,plain,
% 1.00/1.23 ( class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2362_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2711,plain,
% 1.00/1.23 ( class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ),
% 1.00/1.23 inference(copy,[status(esa)],[c_67]) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_66,plain,
% 1.00/1.23 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 1.00/1.23 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2363_0) ).
% 1.00/1.23
% 1.00/1.23 cnf(c_2709,plain,
% 1.00/1.23 ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_66]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_65,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2364_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2707,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_65]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_64,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2365_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2705,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_64]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_63,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2366_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2703,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_63]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_62,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2367_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2701,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_62]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_61,plain,
% 1.00/1.24 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2368_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2699,plain,
% 1.00/1.24 ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_61]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_60,plain,
% 1.00/1.24 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2369_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2697,plain,
% 1.00/1.24 ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_60]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_59,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2370_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2695,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_59]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_58,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2371_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2693,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_58]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_57,plain,
% 1.00/1.24 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2372_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2691,plain,
% 1.00/1.24 ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_57]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_56,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2373_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2689,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_56]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_55,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2374_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2687,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_55]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_54,plain,
% 1.00/1.24 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2375_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2685,plain,
% 1.00/1.24 ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_54]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_53,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2376_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2683,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_53]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_52,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2377_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2681,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_52]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_51,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2378_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2679,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_51]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_50,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2379_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2677,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_50]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_49,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2380_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2675,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_49]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_48,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2381_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2673,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_48]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_47,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2382_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2671,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_47]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_46,plain,
% 1.00/1.24 ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2383_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2669,plain,
% 1.00/1.24 ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_46]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_45,plain,
% 1.00/1.24 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2384_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2667,plain,
% 1.00/1.24 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_45]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_44,plain,
% 1.00/1.24 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2385_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2665,plain,
% 1.00/1.24 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_44]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_43,plain,
% 1.00/1.24 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2386_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2663,plain,
% 1.00/1.24 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_43]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_42,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2387_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2661,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_42]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_41,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2388_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2659,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_41]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_40,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2389_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2657,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_40]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_39,plain,
% 1.00/1.24 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2390_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2655,plain,
% 1.00/1.24 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_39]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_38,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2391_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2653,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_38]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_37,plain,
% 1.00/1.24 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2392_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2651,plain,
% 1.00/1.24 ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_37]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_36,plain,
% 1.00/1.24 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2393_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2649,plain,
% 1.00/1.24 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_36]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_35,plain,
% 1.00/1.24 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2394_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2647,plain,
% 1.00/1.24 ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_35]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_34,plain,
% 1.00/1.24 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2395_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2645,plain,
% 1.00/1.24 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_34]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_33,plain,
% 1.00/1.24 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2396_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2643,plain,
% 1.00/1.24 ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_33]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_32,plain,
% 1.00/1.24 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2397_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2641,plain,
% 1.00/1.24 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_32]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_31,plain,
% 1.00/1.24 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2398_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2639,plain,
% 1.00/1.24 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_31]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_30,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2399_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2637,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_30]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_29,plain,
% 1.00/1.24 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2400_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2635,plain,
% 1.00/1.24 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_29]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_28,plain,
% 1.00/1.24 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2401_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2633,plain,
% 1.00/1.24 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_28]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_27,plain,
% 1.00/1.24 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2402_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2631,plain,
% 1.00/1.24 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_27]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_26,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2403_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2629,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_26]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_25,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2404_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2627,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_25]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_24,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2405_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2625,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_24]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_23,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2406_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2623,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_23]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_22,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2407_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2621,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_22]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_21,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2408_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2619,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_21]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_20,plain,
% 1.00/1.24 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2409_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2617,plain,
% 1.00/1.24 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_20]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_19,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2410_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2615,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_19]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_18,plain,
% 1.00/1.24 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2411_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2613,plain,
% 1.00/1.24 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_18]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_17,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2412_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2611,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_17]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_16,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2413_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2609,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_16]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_15,plain,
% 1.00/1.24 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2414_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2607,plain,
% 1.00/1.24 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_15]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_14,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2415_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2605,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_14]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_13,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2416_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2603,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_13]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_12,plain,
% 1.00/1.24 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2417_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2601,plain,
% 1.00/1.24 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_12]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_11,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2418_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2599,plain,
% 1.00/1.24 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_11]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_10,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2419_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2597,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_10]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_9,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2420_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2595,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_9]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_8,plain,
% 1.00/1.24 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2421_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2593,plain,
% 1.00/1.24 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_8]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_7,plain,
% 1.00/1.24 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2422_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2591,plain,
% 1.00/1.24 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_7]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_6,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2423_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2589,plain,
% 1.00/1.24 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_6]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_5,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2424_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2587,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_5]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_4,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2425_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2585,plain,
% 1.00/1.24 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_4]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_3,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2426_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2583,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_3]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2,plain,
% 1.00/1.24 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2427_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2581,plain,
% 1.00/1.24 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_2]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_1,plain,
% 1.00/1.24 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2428_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2579,plain,
% 1.00/1.24 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_1]) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_0,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.00/1.24 file('/export/starexec/sandbox/tmp/iprover_modulo_e740eb.p', c_0_2429_0) ).
% 1.00/1.24
% 1.00/1.24 cnf(c_2577,plain,
% 1.00/1.24 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.00/1.24 inference(copy,[status(esa)],[c_0]) ).
% 1.00/1.24
% 1.00/1.24
% 1.00/1.24
% 1.00/1.24 % ------ Statistics
% 1.00/1.24
% 1.00/1.24 % ------ General
% 1.00/1.24
% 1.00/1.24 % num_of_input_clauses: 1119
% 1.00/1.24 % num_of_input_neg_conjectures: 1
% 1.00/1.24 % num_of_splits: 0
% 1.00/1.24 % num_of_split_atoms: 0
% 1.00/1.24 % num_of_sem_filtered_clauses: 0
% 1.00/1.24 % num_of_subtypes: 0
% 1.00/1.24 % monotx_restored_types: 0
% 1.00/1.24 % sat_num_of_epr_types: 0
% 1.00/1.24 % sat_num_of_non_cyclic_types: 0
% 1.00/1.24 % sat_guarded_non_collapsed_types: 0
% 1.00/1.24 % is_epr: 0
% 1.00/1.24 % is_horn: 0
% 1.00/1.24 % has_eq: 1
% 1.00/1.24 % num_pure_diseq_elim: 0
% 1.00/1.24 % simp_replaced_by: 0
% 1.00/1.24 % res_preprocessed: 2
% 1.00/1.24 % prep_upred: 0
% 1.00/1.24 % prep_unflattend: 0
% 1.00/1.24 % pred_elim_cands: 0
% 1.00/1.24 % pred_elim: 0
% 1.00/1.24 % pred_elim_cl: 0
% 1.00/1.24 % pred_elim_cycles: 0
% 1.00/1.24 % forced_gc_time: 0
% 1.00/1.24 % gc_basic_clause_elim: 0
% 1.00/1.24 % parsing_time: 0.049
% 1.00/1.24 % sem_filter_time: 0.
% 1.00/1.24 % pred_elim_time: 0.
% 1.00/1.24 % out_proof_time: 0.
% 1.00/1.24 % monotx_time: 0.
% 1.00/1.24 % subtype_inf_time: 0.
% 1.00/1.24 % unif_index_cands_time: 0.
% 1.00/1.24 % unif_index_add_time: 0.
% 1.00/1.24 % total_time: 0.305
% 1.00/1.24 % num_of_symbols: 101
% 1.00/1.24 % num_of_terms: 2932
% 1.00/1.24
% 1.00/1.24 % ------ Propositional Solver
% 1.00/1.24
% 1.00/1.24 % prop_solver_calls: 1
% 1.00/1.24 % prop_fast_solver_calls: 3
% 1.00/1.24 % prop_num_of_clauses: 1140
% 1.00/1.24 % prop_preprocess_simplified: 3166
% 1.00/1.24 % prop_fo_subsumed: 0
% 1.00/1.24 % prop_solver_time: 0.
% 1.00/1.24 % prop_fast_solver_time: 0.
% 1.00/1.24 % prop_unsat_core_time: 0.
% 1.00/1.24
% 1.00/1.24 % ------ QBF
% 1.00/1.24
% 1.00/1.24 % qbf_q_res: 0
% 1.00/1.24 % qbf_num_tautologies: 0
% 1.00/1.24 % qbf_prep_cycles: 0
% 1.00/1.24
% 1.00/1.24 % ------ BMC1
% 1.00/1.24
% 1.00/1.24 % bmc1_current_bound: -1
% 1.00/1.24 % bmc1_last_solved_bound: -1
% 1.00/1.24 % bmc1_unsat_core_size: -1
% 1.00/1.24 % bmc1_unsat_core_parents_size: -1
% 1.00/1.24 % bmc1_merge_next_fun: 0
% 1.00/1.24 % bmc1_unsat_core_clauses_time: 0.
% 1.00/1.24
% 1.00/1.24 % ------ Instantiation
% 1.00/1.24
% 1.00/1.24 % inst_num_of_clauses: 1016
% 1.00/1.24 % inst_num_in_passive: 0
% 1.00/1.24 % inst_num_in_active: 0
% 1.00/1.24 % inst_num_in_unprocessed: 1119
% 1.00/1.24 % inst_num_of_loops: 0
% 1.00/1.24 % inst_num_of_learning_restarts: 0
% 1.00/1.24 % inst_num_moves_active_passive: 0
% 1.00/1.24 % inst_lit_activity: 0
% 1.00/1.24 % inst_lit_activity_moves: 0
% 1.00/1.24 % inst_num_tautologies: 0
% 1.00/1.24 % inst_num_prop_implied: 0
% 1.00/1.24 % inst_num_existing_simplified: 0
% 1.00/1.24 % inst_num_eq_res_simplified: 0
% 1.00/1.24 % inst_num_child_elim: 0
% 1.00/1.24 % inst_num_of_dismatching_blockings: 0
% 1.00/1.24 % inst_num_of_non_proper_insts: 0
% 1.00/1.24 % inst_num_of_duplicates: 0
% 1.00/1.24 % inst_inst_num_from_inst_to_res: 0
% 1.00/1.24 % inst_dismatching_checking_time: 0.
% 1.00/1.24
% 1.00/1.24 % ------ Resolution
% 1.00/1.24
% 1.00/1.24 % res_num_of_clauses: 1079
% 1.00/1.24 % res_num_in_passive: 0
% 1.00/1.24 % res_num_in_active: 464
% 1.00/1.24 % res_num_of_loops: 2
% 1.00/1.24 % res_forward_subset_subsumed: 653
% 1.00/1.24 % res_backward_subset_subsumed: 0
% 1.00/1.24 % res_forward_subsumed: 0
% 1.00/1.24 % res_backward_subsumed: 0
% 1.00/1.24 % res_forward_subsumption_resolution: 0
% 1.00/1.24 % res_backward_subsumption_resolution: 0
% 1.00/1.24 % res_clause_to_clause_subsumption: 0
% 1.00/1.24 % res_orphan_elimination: 0
% 1.00/1.24 % res_tautology_del: 0
% 1.00/1.24 % res_num_eq_res_simplified: 0
% 1.00/1.24 % res_num_sel_changes: 0
% 1.00/1.24 % res_moves_from_active_to_pass: 0
% 1.00/1.24
% 1.00/1.24 % Status Unknown
% 1.00/1.24 % Last status :
% 1.00/1.24 % SZS status Unknown
%------------------------------------------------------------------------------