TSTP Solution File: SWV587-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV587-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 19:20:22 EDT 2022
% Result : Unknown 7.38s 7.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV587-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 15 22:10:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.48/0.67 % Orienting using strategy Equiv(ClausalAll)
% 0.48/0.67 % Orientation found
% 0.48/0.67 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_bc7df7.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_c560f5 | grep -v "SZS"
% 0.48/0.69
% 0.48/0.69 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.48/0.69
% 0.48/0.69 %
% 0.48/0.69 % ------ iProver source info
% 0.48/0.69
% 0.48/0.69 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.48/0.69 % git: non_committed_changes: true
% 0.48/0.69 % git: last_make_outside_of_git: true
% 0.48/0.69
% 0.48/0.69 %
% 0.48/0.69 % ------ Input Options
% 0.48/0.69
% 0.48/0.69 % --out_options all
% 0.48/0.69 % --tptp_safe_out true
% 0.48/0.69 % --problem_path ""
% 0.48/0.69 % --include_path ""
% 0.48/0.69 % --clausifier .//eprover
% 0.48/0.69 % --clausifier_options --tstp-format
% 0.48/0.69 % --stdin false
% 0.48/0.69 % --dbg_backtrace false
% 0.48/0.69 % --dbg_dump_prop_clauses false
% 0.48/0.69 % --dbg_dump_prop_clauses_file -
% 0.48/0.69 % --dbg_out_stat false
% 0.48/0.69
% 0.48/0.69 % ------ General Options
% 0.48/0.69
% 0.48/0.69 % --fof false
% 0.48/0.69 % --time_out_real 150.
% 0.48/0.69 % --time_out_prep_mult 0.2
% 0.48/0.69 % --time_out_virtual -1.
% 0.48/0.69 % --schedule none
% 0.48/0.69 % --ground_splitting input
% 0.48/0.69 % --splitting_nvd 16
% 0.48/0.69 % --non_eq_to_eq false
% 0.48/0.69 % --prep_gs_sim true
% 0.48/0.69 % --prep_unflatten false
% 0.48/0.69 % --prep_res_sim true
% 0.48/0.69 % --prep_upred true
% 0.48/0.69 % --res_sim_input true
% 0.48/0.69 % --clause_weak_htbl true
% 0.48/0.69 % --gc_record_bc_elim false
% 0.48/0.69 % --symbol_type_check false
% 0.48/0.69 % --clausify_out false
% 0.48/0.69 % --large_theory_mode false
% 0.48/0.69 % --prep_sem_filter none
% 0.48/0.69 % --prep_sem_filter_out false
% 0.48/0.69 % --preprocessed_out false
% 0.48/0.69 % --sub_typing false
% 0.48/0.69 % --brand_transform false
% 0.48/0.69 % --pure_diseq_elim true
% 0.48/0.69 % --min_unsat_core false
% 0.48/0.69 % --pred_elim true
% 0.48/0.69 % --add_important_lit false
% 0.48/0.69 % --soft_assumptions false
% 0.48/0.69 % --reset_solvers false
% 0.48/0.69 % --bc_imp_inh []
% 0.48/0.69 % --conj_cone_tolerance 1.5
% 0.48/0.69 % --prolific_symb_bound 500
% 0.48/0.69 % --lt_threshold 2000
% 0.48/0.69
% 0.48/0.69 % ------ SAT Options
% 0.48/0.69
% 0.48/0.69 % --sat_mode false
% 0.48/0.69 % --sat_fm_restart_options ""
% 0.48/0.69 % --sat_gr_def false
% 0.48/0.69 % --sat_epr_types true
% 0.48/0.69 % --sat_non_cyclic_types false
% 0.48/0.69 % --sat_finite_models false
% 0.48/0.69 % --sat_fm_lemmas false
% 0.48/0.69 % --sat_fm_prep false
% 0.48/0.69 % --sat_fm_uc_incr true
% 0.48/0.69 % --sat_out_model small
% 0.48/0.69 % --sat_out_clauses false
% 0.48/0.69
% 0.48/0.69 % ------ QBF Options
% 0.48/0.69
% 0.48/0.69 % --qbf_mode false
% 0.48/0.69 % --qbf_elim_univ true
% 0.48/0.69 % --qbf_sk_in true
% 0.48/0.69 % --qbf_pred_elim true
% 0.48/0.69 % --qbf_split 32
% 0.48/0.69
% 0.48/0.69 % ------ BMC1 Options
% 0.48/0.69
% 0.48/0.69 % --bmc1_incremental false
% 0.48/0.69 % --bmc1_axioms reachable_all
% 0.48/0.69 % --bmc1_min_bound 0
% 0.48/0.69 % --bmc1_max_bound -1
% 0.48/0.69 % --bmc1_max_bound_default -1
% 0.48/0.69 % --bmc1_symbol_reachability true
% 0.48/0.69 % --bmc1_property_lemmas false
% 0.48/0.69 % --bmc1_k_induction false
% 0.48/0.69 % --bmc1_non_equiv_states false
% 0.48/0.69 % --bmc1_deadlock false
% 0.48/0.69 % --bmc1_ucm false
% 0.48/0.69 % --bmc1_add_unsat_core none
% 0.48/0.69 % --bmc1_unsat_core_children false
% 0.48/0.69 % --bmc1_unsat_core_extrapolate_axioms false
% 0.48/0.69 % --bmc1_out_stat full
% 0.48/0.69 % --bmc1_ground_init false
% 0.48/0.69 % --bmc1_pre_inst_next_state false
% 0.48/0.69 % --bmc1_pre_inst_state false
% 0.48/0.69 % --bmc1_pre_inst_reach_state false
% 0.48/0.69 % --bmc1_out_unsat_core false
% 0.48/0.69 % --bmc1_aig_witness_out false
% 0.48/0.69 % --bmc1_verbose false
% 0.48/0.69 % --bmc1_dump_clauses_tptp false
% 3.53/3.99 % --bmc1_dump_unsat_core_tptp false
% 3.53/3.99 % --bmc1_dump_file -
% 3.53/3.99 % --bmc1_ucm_expand_uc_limit 128
% 3.53/3.99 % --bmc1_ucm_n_expand_iterations 6
% 3.53/3.99 % --bmc1_ucm_extend_mode 1
% 3.53/3.99 % --bmc1_ucm_init_mode 2
% 3.53/3.99 % --bmc1_ucm_cone_mode none
% 3.53/3.99 % --bmc1_ucm_reduced_relation_type 0
% 3.53/3.99 % --bmc1_ucm_relax_model 4
% 3.53/3.99 % --bmc1_ucm_full_tr_after_sat true
% 3.53/3.99 % --bmc1_ucm_expand_neg_assumptions false
% 3.53/3.99 % --bmc1_ucm_layered_model none
% 3.53/3.99 % --bmc1_ucm_max_lemma_size 10
% 3.53/3.99
% 3.53/3.99 % ------ AIG Options
% 3.53/3.99
% 3.53/3.99 % --aig_mode false
% 3.53/3.99
% 3.53/3.99 % ------ Instantiation Options
% 3.53/3.99
% 3.53/3.99 % --instantiation_flag true
% 3.53/3.99 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.53/3.99 % --inst_solver_per_active 750
% 3.53/3.99 % --inst_solver_calls_frac 0.5
% 3.53/3.99 % --inst_passive_queue_type priority_queues
% 3.53/3.99 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.53/3.99 % --inst_passive_queues_freq [25;2]
% 3.53/3.99 % --inst_dismatching true
% 3.53/3.99 % --inst_eager_unprocessed_to_passive true
% 3.53/3.99 % --inst_prop_sim_given true
% 3.53/3.99 % --inst_prop_sim_new false
% 3.53/3.99 % --inst_orphan_elimination true
% 3.53/3.99 % --inst_learning_loop_flag true
% 3.53/3.99 % --inst_learning_start 3000
% 3.53/3.99 % --inst_learning_factor 2
% 3.53/3.99 % --inst_start_prop_sim_after_learn 3
% 3.53/3.99 % --inst_sel_renew solver
% 3.53/3.99 % --inst_lit_activity_flag true
% 3.53/3.99 % --inst_out_proof true
% 3.53/3.99
% 3.53/3.99 % ------ Resolution Options
% 3.53/3.99
% 3.53/3.99 % --resolution_flag true
% 3.53/3.99 % --res_lit_sel kbo_max
% 3.53/3.99 % --res_to_prop_solver none
% 3.53/3.99 % --res_prop_simpl_new false
% 3.53/3.99 % --res_prop_simpl_given false
% 3.53/3.99 % --res_passive_queue_type priority_queues
% 3.53/3.99 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.53/3.99 % --res_passive_queues_freq [15;5]
% 3.53/3.99 % --res_forward_subs full
% 3.53/3.99 % --res_backward_subs full
% 3.53/3.99 % --res_forward_subs_resolution true
% 3.53/3.99 % --res_backward_subs_resolution true
% 3.53/3.99 % --res_orphan_elimination false
% 3.53/3.99 % --res_time_limit 1000.
% 3.53/3.99 % --res_out_proof true
% 3.53/3.99 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_bc7df7.s
% 3.53/3.99 % --modulo true
% 3.53/3.99
% 3.53/3.99 % ------ Combination Options
% 3.53/3.99
% 3.53/3.99 % --comb_res_mult 1000
% 3.53/3.99 % --comb_inst_mult 300
% 3.53/3.99 % ------
% 3.53/3.99
% 3.53/3.99 % ------ Parsing...% successful
% 3.53/3.99
% 3.53/3.99 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 3.53/3.99
% 3.53/3.99 % ------ Proving...
% 3.53/3.99 % ------ Problem Properties
% 3.53/3.99
% 3.53/3.99 %
% 3.53/3.99 % EPR false
% 3.53/3.99 % Horn false
% 3.53/3.99 % Has equality true
% 3.53/3.99
% 3.53/3.99 % % ------ Input Options Time Limit: Unbounded
% 3.53/3.99
% 3.53/3.99
% 3.53/3.99 Compiling...
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% 3.53/3.99 Compiling...
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% 3.53/3.99 % % ------ Current options:
% 3.53/3.99
% 3.53/3.99 % ------ Input Options
% 3.53/3.99
% 3.53/3.99 % --out_options all
% 3.53/3.99 % --tptp_safe_out true
% 3.53/3.99 % --problem_path ""
% 3.53/3.99 % --include_path ""
% 3.53/3.99 % --clausifier .//eprover
% 3.53/3.99 % --clausifier_options --tstp-format
% 3.53/3.99 % --stdin false
% 3.53/3.99 % --dbg_backtrace false
% 3.53/3.99 % --dbg_dump_prop_clauses false
% 3.53/3.99 % --dbg_dump_prop_clauses_file -
% 3.53/3.99 % --dbg_out_stat false
% 3.53/3.99
% 3.53/3.99 % ------ General Options
% 3.53/3.99
% 3.53/3.99 % --fof false
% 3.53/3.99 % --time_out_real 150.
% 3.53/3.99 % --time_out_prep_mult 0.2
% 3.53/3.99 % --time_out_virtual -1.
% 3.53/3.99 % --schedule none
% 3.53/3.99 % --ground_splitting input
% 3.53/3.99 % --splitting_nvd 16
% 3.53/3.99 % --non_eq_to_eq false
% 3.53/3.99 % --prep_gs_sim true
% 3.53/3.99 % --prep_unflatten false
% 3.53/3.99 % --prep_res_sim true
% 3.53/3.99 % --prep_upred true
% 3.53/3.99 % --res_sim_input true
% 3.53/3.99 % --clause_weak_htbl true
% 3.53/3.99 % --gc_record_bc_elim false
% 3.53/3.99 % --symbol_type_check false
% 3.53/3.99 % --clausify_out false
% 3.53/3.99 % --large_theory_mode false
% 3.53/3.99 % --prep_sem_filter none
% 3.53/3.99 % --prep_sem_filter_out false
% 3.53/3.99 % --preprocessed_out false
% 3.53/3.99 % --sub_typing false
% 3.53/3.99 % --brand_transform false
% 3.53/3.99 % --pure_diseq_elim true
% 3.53/3.99 % --min_unsat_core false
% 3.53/3.99 % --pred_elim true
% 3.53/3.99 % --add_important_lit false
% 3.53/3.99 % --soft_assumptions false
% 3.53/3.99 % --reset_solvers false
% 3.53/3.99 % --bc_imp_inh []
% 3.53/3.99 % --conj_cone_tolerance 1.5
% 3.53/3.99 % --prolific_symb_bound 500
% 3.53/3.99 % --lt_threshold 2000
% 3.53/3.99
% 3.53/3.99 % ------ SAT Options
% 3.53/3.99
% 3.53/3.99 % --sat_mode false
% 3.53/3.99 % --sat_fm_restart_options ""
% 3.53/3.99 % --sat_gr_def false
% 3.53/3.99 % --sat_epr_types true
% 3.53/3.99 % --sat_non_cyclic_types false
% 3.53/3.99 % --sat_finite_models false
% 3.53/3.99 % --sat_fm_lemmas false
% 3.53/3.99 % --sat_fm_prep false
% 3.53/3.99 % --sat_fm_uc_incr true
% 3.53/3.99 % --sat_out_model small
% 3.53/3.99 % --sat_out_clauses false
% 3.53/3.99
% 3.53/3.99 % ------ QBF Options
% 3.53/3.99
% 3.53/3.99 % --qbf_mode false
% 3.53/3.99 % --qbf_elim_univ true
% 3.53/3.99 % --qbf_sk_in true
% 3.53/3.99 % --qbf_pred_elim true
% 3.53/3.99 % --qbf_split 32
% 3.53/3.99
% 3.53/3.99 % ------ BMC1 Options
% 3.53/3.99
% 3.53/3.99 % --bmc1_incremental false
% 3.53/3.99 % --bmc1_axioms reachable_all
% 3.53/3.99 % --bmc1_min_bound 0
% 3.53/3.99 % --bmc1_max_bound -1
% 3.53/3.99 % --bmc1_max_bound_default -1
% 3.53/3.99 % --bmc1_symbol_reachability true
% 3.53/3.99 % --bmc1_property_lemmas false
% 3.53/3.99 % --bmc1_k_induction false
% 3.53/3.99 % --bmc1_non_equiv_states false
% 3.53/3.99 % --bmc1_deadlock false
% 3.53/3.99 % --bmc1_ucm false
% 3.53/3.99 % --bmc1_add_unsat_core none
% 3.53/3.99 % --bmc1_unsat_core_children false
% 3.53/3.99 % --bmc1_unsat_core_extrapolate_axioms false
% 3.53/3.99 % --bmc1_out_stat full
% 3.53/3.99 % --bmc1_ground_init false
% 3.53/3.99 % --bmc1_pre_inst_next_state false
% 3.53/3.99 % --bmc1_pre_inst_state false
% 3.53/3.99 % --bmc1_pre_inst_reach_state false
% 3.53/3.99 % --bmc1_out_unsat_core false
% 3.53/3.99 % --bmc1_aig_witness_out false
% 3.53/3.99 % --bmc1_verbose false
% 3.53/3.99 % --bmc1_dump_clauses_tptp false
% 3.53/3.99 % --bmc1_dump_unsat_core_tptp false
% 3.53/3.99 % --bmc1_dump_file -
% 3.53/3.99 % --bmc1_ucm_expand_uc_limit 128
% 3.53/3.99 % --bmc1_ucm_n_expand_iterations 6
% 3.53/3.99 % --bmc1_ucm_extend_mode 1
% 3.53/3.99 % --bmc1_ucm_init_mode 2
% 3.53/3.99 % --bmc1_ucm_cone_mode none
% 3.53/3.99 % --bmc1_ucm_reduced_relation_type 0
% 3.53/3.99 % --bmc1_ucm_relax_model 4
% 3.53/3.99 % --bmc1_ucm_full_tr_after_sat true
% 3.53/3.99 % --bmc1_ucm_expand_neg_assumptions false
% 3.53/3.99 % --bmc1_ucm_layered_model none
% 3.53/4.00 % --bmc1_ucm_max_lemma_size 10
% 3.53/4.00
% 3.53/4.00 % ------ AIG Options
% 3.53/4.00
% 3.53/4.00 % --aig_mode false
% 3.53/4.00
% 3.53/4.00 % ------ Instantiation Options
% 3.53/4.00
% 3.53/4.00 % --instantiation_flag true
% 3.53/4.00 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.53/4.00 % --inst_solver_per_active 750
% 3.53/4.00 % --inst_solver_calls_frac 0.5
% 3.53/4.00 % --inst_passive_queue_type priority_queues
% 3.53/4.00 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.53/4.00 % --inst_passive_queues_freq [25;2]
% 3.53/4.00 % --inst_dismatching true
% 3.53/4.00 % --inst_eager_unprocessed_to_passive true
% 3.53/4.00 % --inst_prop_sim_given true
% 3.53/4.00 % --inst_prop_sim_new false
% 3.53/4.00 % --inst_orphan_elimination true
% 3.53/4.00 % --inst_learning_loop_flag true
% 3.53/4.00 % --inst_learning_start 3000
% 3.53/4.00 % --inst_learning_factor 2
% 3.53/4.00 % --inst_start_prop_sim_after_learn 3
% 3.53/4.00 % --inst_sel_renew solver
% 3.53/4.00 % --inst_lit_activity_flag true
% 3.53/4.00 % --inst_out_proof true
% 3.53/4.00
% 3.53/4.00 % ------ Resolution Options
% 3.53/4.00
% 3.53/4.00 % --resolution_flag true
% 3.53/4.00 % --res_lit_sel kbo_max
% 3.53/4.00 % --res_to_prop_solver none
% 3.53/4.00 % --res_prop_simpl_new false
% 3.53/4.00 % --res_prop_simpl_given false
% 3.53/4.00 % --res_passive_queue_type priority_queues
% 3.53/4.00 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.53/4.00 % --res_passive_queues_freq [15;5]
% 3.53/4.00 % --res_forward_subs full
% 3.53/4.00 % --res_backward_subs full
% 3.53/4.00 % --res_forward_subs_resolution true
% 3.53/4.00 % --res_backward_subs_resolution true
% 3.53/4.00 % --res_orphan_elimination false
% 3.53/4.00 % --res_time_limit 1000.
% 3.53/4.00 % --res_out_proof true
% 3.53/4.00 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_bc7df7.s
% 3.53/4.00 % --modulo true
% 3.53/4.00
% 3.53/4.00 % ------ Combination Options
% 3.53/4.00
% 3.53/4.00 % --comb_res_mult 1000
% 3.53/4.00 % --comb_inst_mult 300
% 3.53/4.00 % ------
% 3.53/4.00
% 3.53/4.00
% 3.53/4.00
% 3.53/4.00 % ------ Proving...
% 3.53/4.00 % warning: shown sat in sat incomplete mode
% 3.53/4.00 %
% 3.53/4.00
% 3.53/4.00
% 3.53/4.00
% 3.53/4.00
% 3.53/4.00 cnf(c_3056,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4978_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13471,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_3056]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13472,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_13471]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_3016,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4961_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13391,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_3016]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13392,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_13391]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2995,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4954_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13349,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2995]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13350,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_13349]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2987,plain,
% 3.53/4.00 ( ~ class_Int_Oring__char__0(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 3.53/4.00 | X1 = X2 ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4951_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13333,plain,
% 3.53/4.00 ( ~ class_Int_Oring__char__0(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 3.53/4.00 | X1 = X2 ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2987]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13334,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ class_Int_Oring__char__0(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 3.53/4.00 | X1 = X2 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_13333]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2983,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.53/4.00 | X1 = X2 ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4950_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13325,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.53/4.00 | X1 = X2 ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2983]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13326,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.53/4.00 | X1 = X2 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_13325]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2966,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.53/4.00 | X1 = X2
% 3.53/4.00 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4943_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13291,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.53/4.00 | X1 = X2
% 3.53/4.00 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2966]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13292,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.53/4.00 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = X2 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_13291]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2897,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4910_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13153,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2897]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13154,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Oidom(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_13153]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2876,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4900_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13111,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2876]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13112,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_13111]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2831,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4881_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13021,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2831]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13022,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | ~ class_Ring__and__Field_Oabs__if(X1)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X0,X1) = X0 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_13021]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2822,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4878_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13003,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2822]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_13004,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_13003]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2818,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4877_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12995,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2818]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12996,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12995]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2810,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4874_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12979,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2810]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12980,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12979]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2804,plain,
% 3.53/4.00 ( ~ class_Orderings_Olinorder(X0)
% 3.53/4.00 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4872_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12967,plain,
% 3.53/4.00 ( ~ class_Orderings_Olinorder(X0)
% 3.53/4.00 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2804]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12968,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | ~ class_Orderings_Olinorder(X1)
% 3.53/4.00 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X0,X1) = X0 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12967]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2785,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4864_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12929,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2785]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12930,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12929]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2782,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4863_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12923,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2782]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12924,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.53/4.00 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12923]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2776,plain,
% 3.53/4.00 ( ~ class_Int_Oring__char__0(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4861_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12911,plain,
% 3.53/4.00 ( ~ class_Int_Oring__char__0(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2776]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12912,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0),X0)
% 3.53/4.00 | ~ class_Int_Oring__char__0(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12911]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2773,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4860_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12905,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2773]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12906,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.53/4.00 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12905]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2767,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4859_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12893,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2767]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12894,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12893]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2755,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = X1 ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4855_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12869,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = X1 ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2755]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12870,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = X1 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12869]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2751,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4854_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12861,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2751]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12862,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12861]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2747,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 3.53/4.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4853_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12853,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 3.53/4.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2747]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12854,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Oidom(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 3.53/4.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12853]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2736,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4849_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12831,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2736]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12832,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12831]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2708,plain,
% 3.53/4.00 ( X0 = X1
% 3.53/4.00 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4840_2) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12775,plain,
% 3.53/4.00 ( X0 = X1
% 3.53/4.00 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2708]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12776,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 3.53/4.00 | X0 = X1 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12775]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2660,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4821_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12679,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2660]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12680,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.53/4.00 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12679]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2645,plain,
% 3.53/4.00 ( ~ class_Orderings_Olinorder(X0)
% 3.53/4.00 | X1 = X2
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4817_1) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12649,plain,
% 3.53/4.00 ( ~ class_Orderings_Olinorder(X0)
% 3.53/4.00 | X1 = X2
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2645]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12650,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.53/4.00 | ~ class_Orderings_Olinorder(X2)
% 3.53/4.00 | X0 = X1 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12649]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2644,plain,
% 3.53/4.00 ( ~ class_Orderings_Olinorder(X0)
% 3.53/4.00 | X1 = X2
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4817_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12647,plain,
% 3.53/4.00 ( ~ class_Orderings_Olinorder(X0)
% 3.53/4.00 | X1 = X2
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2644]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12648,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.53/4.00 | ~ class_Orderings_Olinorder(X2)
% 3.53/4.00 | X1 = X0 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12647]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2642,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | X1 = X2
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4816_2) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12643,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | X1 = X2
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2642]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12644,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 3.53/4.00 | X0 = X1 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12643]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2640,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.53/4.00 | X2 = X1 ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4816_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12639,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.53/4.00 | X2 = X1 ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2640]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12640,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 3.53/4.00 | X1 = X0 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12639]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2628,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4812_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12615,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2628]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12616,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12615]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2623,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4811_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12605,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2623]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12606,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12605]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2617,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4810_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12593,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2617]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12594,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12593]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2600,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4803_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12559,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2600]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12560,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12559]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2595,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4802_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12549,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2595]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12550,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12549]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2574,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4794_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12507,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2574]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12508,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12507]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2570,plain,
% 3.53/4.00 ( ~ class_Int_Oring__char__0(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.53/4.00 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4793_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12499,plain,
% 3.53/4.00 ( ~ class_Int_Oring__char__0(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.53/4.00 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2570]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12500,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 3.53/4.00 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.53/4.00 | ~ class_Int_Oring__char__0(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12499]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2561,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4790_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12481,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2561]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12482,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | ~ class_Ring__and__Field_Oabs__if(X1)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12481]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2558,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4789_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12475,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2558]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12476,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12475]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2544,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4785_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12447,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2544]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12448,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12447]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2538,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4784_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12435,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2538]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12436,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12435]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2534,plain,
% 3.53/4.00 ( ~ class_Int_Oring__char__0(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 3.53/4.00 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4783_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12427,plain,
% 3.53/4.00 ( ~ class_Int_Oring__char__0(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 3.53/4.00 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2534]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12428,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 3.53/4.00 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.53/4.00 | ~ class_Int_Oring__char__0(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12427]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2528,plain,
% 3.53/4.00 ( ~ class_Orderings_Olinorder(X0)
% 3.53/4.00 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4781_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12415,plain,
% 3.53/4.00 ( ~ class_Orderings_Olinorder(X0)
% 3.53/4.00 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2528]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12416,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | ~ class_Orderings_Olinorder(X1)
% 3.53/4.00 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12415]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2514,plain,
% 3.53/4.00 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.53/4.00 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.53/4.00 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4776_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12387,plain,
% 3.53/4.00 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.53/4.00 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.53/4.00 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2514]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12388,plain,
% 3.53/4.00 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.53/4.00 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.53/4.00 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12387]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2505,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4772_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12369,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2505]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12370,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12369]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2479,plain,
% 3.53/4.00 ( hAPP(c_NthRoot_Oroot(X0),X1) != hAPP(c_NthRoot_Oroot(X0),X2)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.53/4.00 | X1 = X2 ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4762_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12317,plain,
% 3.53/4.00 ( hAPP(c_NthRoot_Oroot(X0),X1) != hAPP(c_NthRoot_Oroot(X0),X2)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.53/4.00 | X1 = X2 ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2479]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12318,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.53/4.00 | hAPP(c_NthRoot_Oroot(X0),X1) != hAPP(c_NthRoot_Oroot(X0),X2)
% 3.53/4.00 | X1 = X2 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12317]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2475,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4761_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12309,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2475]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12310,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X1)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 3.53/4.00 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_Int_Onumber__class_Onumber__of(X0,X1) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12309]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2468,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4759_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12295,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2468]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12296,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12295]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2463,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4758_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12285,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2463]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12286,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.53/4.00 | ~ class_Int_Onumber(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12285]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2457,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4757_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12273,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2457]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12274,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12273]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2381,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 3.53/4.00 | hAPP(c_Suc,X0) = X1 ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4727_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12121,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 3.53/4.00 | hAPP(c_Suc,X0) = X1 ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2381]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12122,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.53/4.00 | hAPP(c_Suc,X0) = X1 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12121]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2344,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4715_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12047,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Power_Opower(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2344]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_12048,plain,
% 3.53/4.00 ( ~ class_Power_Opower(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Omult__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.53/4.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 3.53/4.00 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_12047]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2317,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 3.53/4.00 | X2 = X3 ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4707_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11993,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.53/4.00 | ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 3.53/4.00 | X2 = X3 ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2317]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11994,plain,
% 3.53/4.00 ( ~ class_Int_Onumber__ring(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Oidom(X0)
% 3.53/4.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 3.53/4.00 | X2 = X3 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11993]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2314,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4706_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11987,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2314]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11988,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11987]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2307,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4703_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11973,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2307]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11974,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11973]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2285,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4696_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11929,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2285]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11930,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X0,X2,X1)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11929]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2256,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4685_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11871,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2256]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11872,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11871]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2254,plain,
% 3.53/4.00 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.53/4.00 | X2 = X1
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4684_2) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11867,plain,
% 3.53/4.00 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.53/4.00 | X2 = X1
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2254]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11868,plain,
% 3.53/4.00 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.53/4.00 | X2 = X1 ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11867]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2225,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 3.53/4.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4675_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11809,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 3.53/4.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2225]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11810,plain,
% 3.53/4.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.53/4.00 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11809]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2221,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4674_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11801,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2221]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11802,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11801]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2187,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4662_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11733,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2187]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11734,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11733]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2172,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4656_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11703,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2172]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11704,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11703]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2168,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4655_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11695,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2168]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11696,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__field(X1)
% 3.53/4.00 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11695]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2164,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4654_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11687,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2164]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11688,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11687]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2160,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4653_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11679,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2160]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11680,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11679]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2156,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4652_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11671,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2156]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11672,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.53/4.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11671]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2135,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4644_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11629,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2135]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11630,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.53/4.00 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11629]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2129,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4642_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11617,plain,
% 3.53/4.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.53/4.00 inference(copy,[status(esa)],[c_2129]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11618,plain,
% 3.53/4.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.53/4.00 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 3.53/4.00 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.53/4.00 inference(rewriting,[status(thm)],[c_11617]) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_2091,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.53/4.00 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 3.53/4.00 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.53/4.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4625_0) ).
% 3.53/4.00
% 3.53/4.00 cnf(c_11541,plain,
% 3.53/4.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.53/4.01 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 3.53/4.01 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.53/4.01 inference(copy,[status(esa)],[c_2091]) ).
% 3.53/4.01
% 3.53/4.01 cnf(c_11542,plain,
% 3.53/4.01 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 3.53/4.01 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.53/4.01 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.53/4.01 inference(rewriting,[status(thm)],[c_11541]) ).
% 3.53/4.01
% 3.53/4.01 cnf(c_2088,plain,
% 3.53/4.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.53/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.53/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.53/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4624_0) ).
% 3.53/4.01
% 3.53/4.01 cnf(c_11535,plain,
% 3.53/4.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.53/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.53/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2088]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11536,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11535]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2085,plain,
% 3.80/4.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4623_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11529,plain,
% 3.80/4.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2085]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11530,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.80/4.01 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11529]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2081,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ class_Int_Onumber__ring(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4622_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11521,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ class_Int_Onumber__ring(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2081]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11522,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.80/4.01 | ~ class_Int_Onumber__ring(X1)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 3.80/4.01 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X0,X1),X1) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11521]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2072,plain,
% 3.80/4.01 ( ~ class_Orderings_Opreorder(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4619_1) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11503,plain,
% 3.80/4.01 ( ~ class_Orderings_Opreorder(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2072]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11504,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.80/4.01 | ~ class_Orderings_Opreorder(X2) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11503]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2071,plain,
% 3.80/4.01 ( ~ class_Orderings_Opreorder(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4619_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11501,plain,
% 3.80/4.01 ( ~ class_Orderings_Opreorder(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2071]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11502,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.80/4.01 | ~ class_Orderings_Opreorder(X2) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11501]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2068,plain,
% 3.80/4.01 ( ~ class_Orderings_Oorder(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4618_1) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11495,plain,
% 3.80/4.01 ( ~ class_Orderings_Oorder(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2068]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11496,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.80/4.01 | ~ class_Orderings_Oorder(X2) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11495]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2067,plain,
% 3.80/4.01 ( ~ class_Orderings_Oorder(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4618_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11493,plain,
% 3.80/4.01 ( ~ class_Orderings_Oorder(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2067]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11494,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.80/4.01 | ~ class_Orderings_Oorder(X2) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11493]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2060,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X2) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4616_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11479,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X2) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2060]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11480,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X2) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11479]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2053,plain,
% 3.80/4.01 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | X1 = X2 ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4613_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11465,plain,
% 3.80/4.01 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | X1 = X2 ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2053]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11466,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 3.80/4.01 | X1 = X2 ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11465]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2034,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3) = X2
% 3.80/4.01 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4606_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11427,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3) = X2
% 3.80/4.01 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2034]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11428,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2) = X3
% 3.80/4.01 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11427]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2028,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 3.80/4.01 | X1 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X2)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4605_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11415,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 3.80/4.01 | X1 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X2)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2028]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11416,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 3.80/4.01 | X1 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X2)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11415]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2025,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4604_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11409,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2025]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11410,plain,
% 3.80/4.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11409]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2015,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4600_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11389,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2015]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11390,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11389]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_2012,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X2),X1,tc_nat) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4599_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11383,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X2),X1,tc_nat) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_2012]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11384,plain,
% 3.80/4.01 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11383]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1999,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.01 | c_Ring__and__Field_Odvd__class_Odvd(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4594_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11357,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.01 | c_Ring__and__Field_Odvd__class_Odvd(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1999]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11358,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
% 3.80/4.01 | c_Ring__and__Field_Odvd__class_Odvd(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11357]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1949,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.80/4.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.80/4.01 | X2 = X3 ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4575_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11257,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.80/4.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.80/4.01 | X2 = X3 ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1949]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11258,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.80/4.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 3.80/4.01 | X2 = X3 ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11257]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1946,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 3.80/4.01 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4574_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11251,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 3.80/4.01 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1946]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11252,plain,
% 3.80/4.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11251]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1928,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),c_Int_Onumber__class_Onumber__of(X2,X0),X0) = X1
% 3.80/4.01 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4570_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11215,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),c_Int_Onumber__class_Onumber__of(X2,X0),X0) = X1
% 3.80/4.01 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1928]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11216,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = X2 ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11215]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1924,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4569_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11207,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1924]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11208,plain,
% 3.80/4.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 3.80/4.01 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11207]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1916,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 3.80/4.01 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4566_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11191,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 3.80/4.01 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1916]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11192,plain,
% 3.80/4.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11191]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1912,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4565_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11183,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1912]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11184,plain,
% 3.80/4.01 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11183]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1909,plain,
% 3.80/4.01 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4564_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11177,plain,
% 3.80/4.01 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1909]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11178,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11177]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1906,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4563_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11171,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1906]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11172,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11171]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1898,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4561_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11155,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1898]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11156,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11155]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1871,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4553_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11101,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1871]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11102,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11101]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1860,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4550_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11079,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1860]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11080,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11079]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1857,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4549_2) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11073,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1857]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11074,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.80/4.01 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11073]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1855,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 3.80/4.01 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4549_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11069,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 3.80/4.01 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1855]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11070,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.01 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11069]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1854,plain,
% 3.80/4.01 ( hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2))
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4548_2) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11067,plain,
% 3.80/4.01 ( hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2))
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1854]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11068,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.01 | hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2)) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11067]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1841,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4545_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11041,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1841]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11042,plain,
% 3.80/4.01 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11041]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1837,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4544_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11033,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1837]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11034,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11033]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1831,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4542_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11021,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1831]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11022,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11021]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1821,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4540_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11001,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1821]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_11002,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.01 | ~ class_Int_Onumber(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 3.80/4.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_11001]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1792,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4531_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10943,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1792]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10944,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_10943]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1764,plain,
% 3.80/4.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4518_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10887,plain,
% 3.80/4.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1764]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10888,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat)
% 3.80/4.01 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_10887]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1761,plain,
% 3.80/4.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.01 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4517_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10881,plain,
% 3.80/4.01 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.01 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1761]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10882,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X0,tc_nat)
% 3.80/4.01 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_10881]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1758,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4516_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10875,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1758]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10876,plain,
% 3.80/4.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_10875]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1755,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4515_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10869,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1755]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10870,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_10869]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1752,plain,
% 3.80/4.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4514_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10863,plain,
% 3.80/4.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1752]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10864,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.01 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_10863]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1749,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4513_0) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10857,plain,
% 3.80/4.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.01 inference(copy,[status(esa)],[c_1749]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_10858,plain,
% 3.80/4.01 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.01 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.80/4.01 inference(rewriting,[status(thm)],[c_10857]) ).
% 3.80/4.01
% 3.80/4.01 cnf(c_1746,plain,
% 3.80/4.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4512_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10851,plain,
% 3.80/4.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1746]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10852,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10851]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1736,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Int_Onumber(X0)
% 3.80/4.02 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.02 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4510_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10831,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Int_Onumber(X0)
% 3.80/4.02 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.02 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1736]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10832,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.80/4.02 | ~ class_Int_Onumber(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.80/4.02 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10831]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1732,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4509_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10823,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1732]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10824,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10823]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1728,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4508_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10815,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1728]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10816,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10815]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1722,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X0)
% 3.80/4.02 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.80/4.02 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4506_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10803,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X0)
% 3.80/4.02 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.80/4.02 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1722]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10804,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.80/4.02 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10803]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1705,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.80/4.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.80/4.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.80/4.02 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4502_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10769,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.80/4.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.80/4.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.80/4.02 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1705]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10770,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.80/4.02 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 3.80/4.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.80/4.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10769]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1691,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.80/4.02 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4497_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10741,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.80/4.02 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1691]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10742,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 3.80/4.02 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10741]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1672,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4491_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10703,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1672]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10704,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10703]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1666,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 3.80/4.02 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4489_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10691,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 3.80/4.02 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1666]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10692,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10691]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1662,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4488_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10683,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1662]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10684,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10683]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1637,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4480_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10633,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1637]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10634,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10633]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1633,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4479_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10625,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1633]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10626,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10625]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1629,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4478_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10617,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1629]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10618,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10617]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1620,plain,
% 3.80/4.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4476_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10599,plain,
% 3.80/4.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1620]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10600,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10599]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1616,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4475_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10591,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1616]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10592,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10591]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1612,plain,
% 3.80/4.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4474_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10583,plain,
% 3.80/4.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1612]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10584,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10583]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1596,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4470_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10551,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1596]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10552,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10551]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1592,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4469_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10543,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1592]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10544,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10543]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1586,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4467_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10531,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1586]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10532,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10531]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1582,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4466_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10523,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1582]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10524,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10523]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1578,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4465_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10515,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1578]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10516,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10515]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1574,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4464_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10507,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1574]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10508,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10507]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1570,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X0)
% 3.80/4.02 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4463_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10499,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X0)
% 3.80/4.02 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1570]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10500,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10499]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1565,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4462_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10489,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1565]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10490,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10489]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1560,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4461_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10479,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1560]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10480,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10479]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1555,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4460_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10469,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1555]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10470,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10469]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1550,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4459_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10459,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1550]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10460,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10459]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1533,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4453_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10425,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1533]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10426,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10425]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1530,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4452_3) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10419,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1530]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10420,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10419]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1527,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4452_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10413,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1527]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10414,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10413]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1524,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4451_3) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10407,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1524]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10408,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10407]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1521,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4451_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10401,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1521]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10402,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10401]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1518,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4450_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10395,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1518]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10396,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10395]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1513,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4449_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10385,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1513]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10386,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10385]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1508,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4448_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10375,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1508]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10376,plain,
% 3.80/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10375]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1504,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4447_1) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10367,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1504]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10368,plain,
% 3.80/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.80/4.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.80/4.02 inference(rewriting,[status(thm)],[c_10367]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_1503,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4447_0) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10365,plain,
% 3.80/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.80/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.80/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.80/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.80/4.02 inference(copy,[status(esa)],[c_1503]) ).
% 3.80/4.02
% 3.80/4.02 cnf(c_10366,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 3.82/4.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10365]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1498,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4446_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10355,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1498]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10356,plain,
% 3.82/4.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10355]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1493,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4445_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10345,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1493]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10346,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10345]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1488,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4444_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10335,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1488]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10336,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10335]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1483,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4443_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10325,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1483]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10326,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10325]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1478,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4442_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10315,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1478]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10316,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10315]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1475,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.82/4.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4441_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10309,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.82/4.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1475]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10310,plain,
% 3.82/4.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10309]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1474,plain,
% 3.82/4.02 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4440_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10307,plain,
% 3.82/4.02 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1474]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10308,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10307]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1471,plain,
% 3.82/4.02 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4439_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10301,plain,
% 3.82/4.02 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1471]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10302,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.82/4.02 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10301]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1458,plain,
% 3.82/4.02 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.82/4.02 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4436_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10275,plain,
% 3.82/4.02 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.82/4.02 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1458]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10276,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.82/4.02 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.82/4.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10275]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1397,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4409_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10153,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1397]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10154,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10153]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1395,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4409_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10149,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1395]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10150,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10149]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1393,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4408_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10145,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1393]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10146,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10145]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1391,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4408_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10141,plain,
% 3.82/4.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1391]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10142,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10141]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1371,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.82/4.02 | c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4399_0) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10101,plain,
% 3.82/4.02 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.82/4.02 | c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 3.82/4.02 inference(copy,[status(esa)],[c_1371]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10102,plain,
% 3.82/4.02 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 3.82/4.02 inference(rewriting,[status(thm)],[c_10101]) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_1367,plain,
% 3.82/4.02 ( hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2))
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.82/4.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4397_2) ).
% 3.82/4.02
% 3.82/4.02 cnf(c_10093,plain,
% 3.82/4.02 ( hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2))
% 3.82/4.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1367]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10094,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.82/4.03 | hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_10093]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1355,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0)),c_Int_Onumber__class_Onumber__of(X2,X0)) = X1
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4395_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10069,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0)),c_Int_Onumber__class_Onumber__of(X2,X0)) = X1
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1355]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10070,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0)),c_Int_Onumber__class_Onumber__of(X2,X0)) = X1
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_10069]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1348,plain,
% 3.82/4.03 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4393_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10055,plain,
% 3.82/4.03 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1348]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10056,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.82/4.03 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_10055]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1344,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.82/4.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.82/4.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 3.82/4.03 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4392_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10047,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.82/4.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.82/4.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 3.82/4.03 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1344]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10048,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.82/4.03 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 3.82/4.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 3.82/4.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_10047]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1338,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 3.82/4.03 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4390_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10035,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 3.82/4.03 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1338]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10036,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.03 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_10035]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1325,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4387_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10009,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1325]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_10010,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.03 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_10009]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1309,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4383_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9977,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1309]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9978,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9977]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1293,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4379_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9945,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1293]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9946,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9945]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1281,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4376_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9921,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1281]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9922,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9921]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1273,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4374_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9905,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1273]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9906,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9905]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1269,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4373_2) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9897,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1269]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9898,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9897]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1267,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4373_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9893,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1267]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9894,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9893]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1263,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4372_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9885,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1263]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9886,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.03 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9885]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1259,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4371_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9877,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1259]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9878,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9877]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1255,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4370_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9869,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1255]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9870,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9869]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1239,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4365_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9837,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1239]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9838,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.03 | ~ class_Int_Onumber(X1)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9837]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1232,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4364_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9823,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1232]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9824,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9823]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1229,plain,
% 3.82/4.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4363_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9817,plain,
% 3.82/4.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1229]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9818,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.82/4.03 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9817]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1226,plain,
% 3.82/4.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4362_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9811,plain,
% 3.82/4.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1226]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9812,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9811]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1204,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4355_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9767,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1204]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9768,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9767]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1197,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4354_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9753,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1197]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9754,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.82/4.03 | ~ class_Int_Onumber(X1)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9753]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1190,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4353_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9739,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1190]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9740,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X2,X1)
% 3.82/4.03 | ~ class_Int_Onumber(X1)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9739]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1185,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.03 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 3.82/4.03 | X3 = X4
% 3.82/4.03 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4352_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9729,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.03 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 3.82/4.03 | X3 = X4
% 3.82/4.03 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1185]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9730,plain,
% 3.82/4.03 ( ~ class_Int_Onumber__ring(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 3.82/4.03 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.82/4.03 | X3 = X4 ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9729]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1168,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4346_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9695,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1168]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9696,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9695]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1164,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4345_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9687,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1164]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9688,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9687]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1161,plain,
% 3.82/4.03 ( hAPP(X0,X1) != hAPP(X0,X2)
% 3.82/4.03 | ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
% 3.82/4.03 | X1 = X2 ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4344_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9681,plain,
% 3.82/4.03 ( hAPP(X0,X1) != hAPP(X0,X2)
% 3.82/4.03 | ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
% 3.82/4.03 | X1 = X2 ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1161]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9682,plain,
% 3.82/4.03 ( ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X2)
% 3.82/4.03 | hAPP(X0,X3) != hAPP(X0,X4)
% 3.82/4.03 | X3 = X4 ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9681]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1156,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4343_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9671,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1156]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9672,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9671]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1151,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4342_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9661,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1151]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9662,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9661]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1136,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4336_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9631,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1136]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9632,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9631]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1131,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4335_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9621,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1131]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9622,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9621]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1128,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4334_1) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9615,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1128]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9616,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9615]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1127,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4334_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9613,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1127]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9614,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9613]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1124,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4333_1) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9607,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1124]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9608,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9607]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1123,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4333_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9605,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1123]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9606,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9605]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1116,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4332_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9591,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1116]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9592,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.03 | ~ class_Int_Onumber(X1)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9591]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1109,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4331_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9577,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1109]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9578,plain,
% 3.82/4.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | ~ class_Int_Onumber(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9577]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1105,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4330_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9569,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1105]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9570,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9569]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1101,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4329_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9561,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1101]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9562,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9561]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1097,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4328_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9553,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1097]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9554,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9553]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1093,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4327_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9545,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1093]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9546,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9545]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1075,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4319_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9509,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1075]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9510,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9509]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1071,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4318_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9501,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.03 inference(copy,[status(esa)],[c_1071]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9502,plain,
% 3.82/4.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.03 inference(rewriting,[status(thm)],[c_9501]) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_1056,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.82/4.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 3.82/4.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4314_0) ).
% 3.82/4.03
% 3.82/4.03 cnf(c_9471,plain,
% 3.82/4.03 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.82/4.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.82/4.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1056]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9472,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9471]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_1046,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4311_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9451,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1046]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9452,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9451]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_1042,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4310_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9443,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1042]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9444,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9443]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_1038,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4309_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9435,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1038]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9436,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9435]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_1032,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4307_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9423,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1032]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9424,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9423]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_1029,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4307_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9417,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1029]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9418,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9417]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_1023,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4306_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9405,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1023]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9406,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9405]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_1017,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4305_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9393,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1017]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9394,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9393]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_1011,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4304_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9381,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1011]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9382,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9381]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_1008,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4303_3) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9375,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1008]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9376,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9375]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_1005,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4303_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9369,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_1005]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9370,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9369]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_999,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4302_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9357,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_999]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9358,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9357]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_993,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4301_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9345,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_993]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9346,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9345]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_987,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4300_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9333,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_987]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9334,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9333]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_972,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4296_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9303,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_972]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9304,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.82/4.04 | ~ class_Int_Onumber(X1)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9303]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_965,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4295_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9289,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_965]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9290,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X2,X1)
% 3.82/4.04 | ~ class_Int_Onumber(X1)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9289]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_928,plain,
% 3.82/4.04 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X2,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4281_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9215,plain,
% 3.82/4.04 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X2,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_928]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9216,plain,
% 3.82/4.04 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9215]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_924,plain,
% 3.82/4.04 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4280_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9207,plain,
% 3.82/4.04 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_924]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9208,plain,
% 3.82/4.04 ( ~ class_Divides_Osemiring__div(X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 3.82/4.04 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9207]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_918,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4279_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9195,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_918]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9196,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9195]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_908,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X3,X0)),c_HOL_Oabs__class_Oabs(X1,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4277_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9175,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X3,X0)),c_HOL_Oabs__class_Oabs(X1,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_908]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9176,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9175]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_900,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4275_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9159,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_900]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9160,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9159]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_894,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4274_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9147,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_894]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9148,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9147]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_888,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4273_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9135,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_888]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9136,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9135]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_882,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4272_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9123,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_882]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9124,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9123]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_875,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4270_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9109,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_875]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9110,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9109]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_870,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4269_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9099,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_870]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9100,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9099]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_864,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4268_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9087,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_864]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9088,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9087]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_858,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4267_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9075,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_858]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9076,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9075]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_842,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.04 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4260_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9043,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.04 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_842]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9044,plain,
% 3.82/4.04 ( ~ class_Int_Onumber__ring(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9043]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_835,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4259_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9029,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_835]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9030,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.04 | ~ class_Int_Onumber(X1)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9029]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_828,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4258_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9015,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_828]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_9016,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_9015]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_813,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4254_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_8985,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_813]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_8986,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_8985]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_806,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4253_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_8971,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_806]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_8972,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_8971]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_799,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4252_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_8957,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_799]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_8958,plain,
% 3.82/4.04 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X2,X1)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 3.82/4.04 | ~ class_Int_Onumber(X1)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_8957]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_792,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4251_0) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_8943,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.04 inference(copy,[status(esa)],[c_792]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_8944,plain,
% 3.82/4.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 3.82/4.04 | ~ class_Int_Onumber(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.04 inference(rewriting,[status(thm)],[c_8943]) ).
% 3.82/4.04
% 3.82/4.04 cnf(c_778,plain,
% 3.82/4.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4246_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8915,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_778]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8916,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8915]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_772,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4245_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8903,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_772]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8904,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8903]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_766,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4244_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8891,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_766]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8892,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8891]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_760,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4243_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8879,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_760]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8880,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8879]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_751,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4241_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8861,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_751]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8862,plain,
% 3.82/4.05 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.05 | ~ class_Int_Onumber(X1)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8861]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_744,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4240_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8847,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_744]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8848,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8847]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_737,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4239_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8833,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_737]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8834,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.82/4.05 | ~ class_Int_Onumber(X1)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8833]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_730,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4238_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8819,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_730]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8820,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8819]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_727,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 3.82/4.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4237_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8813,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 3.82/4.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_727]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8814,plain,
% 3.82/4.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8813]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_724,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 3.82/4.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4236_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8807,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 3.82/4.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_724]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8808,plain,
% 3.82/4.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.82/4.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8807]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_717,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4235_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8793,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_717]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8794,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 3.82/4.05 | ~ class_Int_Onumber(X1)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8793]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_710,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4234_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8779,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_710]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8780,plain,
% 3.82/4.05 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8779]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_700,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4232_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8759,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_700]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8760,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8759]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_693,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4231_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8745,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_693]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8746,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 3.82/4.05 | ~ class_Int_Onumber(X1)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8745]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_686,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4230_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8731,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_686]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8732,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8731]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_679,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4229_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8717,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_679]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8718,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8717]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_661,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4223_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8681,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_661]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8682,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8681]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_654,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4222_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8667,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_654]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8668,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8667]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_641,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4219_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8641,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_641]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8642,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8641]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_634,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4218_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8627,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_634]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8628,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8627]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_617,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4214_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8593,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_617]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8594,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8593]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_610,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4213_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8579,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_610]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8580,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8579]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_601,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.05 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | X1 = X3
% 3.82/4.05 | X2 = X4 ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4211_1) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8561,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.05 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | X1 = X3
% 3.82/4.05 | X2 = X4 ),
% 3.82/4.05 inference(copy,[status(esa)],[c_601]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8562,plain,
% 3.82/4.05 ( ~ class_Int_Onumber__ring(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | X1 = X3
% 3.82/4.05 | X2 = X4 ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8561]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_600,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.05 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | X2 = X4
% 3.82/4.05 | X1 = X3 ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4211_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8559,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.05 | ~ class_Int_Onumber__ring(X0)
% 3.82/4.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | X2 = X4
% 3.82/4.05 | X1 = X3 ),
% 3.82/4.05 inference(copy,[status(esa)],[c_600]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8560,plain,
% 3.82/4.05 ( ~ class_Int_Onumber__ring(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oidom(X0)
% 3.82/4.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 3.82/4.05 | X2 = X4
% 3.82/4.05 | X1 = X3 ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8559]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_593,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4210_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8545,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_593]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8546,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8545]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_586,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4209_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8531,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_586]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8532,plain,
% 3.82/4.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 3.82/4.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 3.82/4.05 | ~ class_Int_Onumber(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8531]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_571,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 3.82/4.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4204_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8501,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 3.82/4.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_571]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8502,plain,
% 3.82/4.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 3.82/4.05 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(rewriting,[status(thm)],[c_8501]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_568,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 3.82/4.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4203_0) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8495,plain,
% 3.82/4.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 3.82/4.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.05 inference(copy,[status(esa)],[c_568]) ).
% 3.82/4.05
% 3.82/4.05 cnf(c_8496,plain,
% 3.82/4.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 3.82/4.06 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8495]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_522,plain,
% 3.82/4.06 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 3.82/4.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.82/4.06 | hBOOL(hAPP(X2,X0)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4182_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8403,plain,
% 3.82/4.06 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 3.82/4.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.82/4.06 | hBOOL(hAPP(X2,X0)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_522]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8404,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),X1,tc_nat)))
% 3.82/4.06 | hBOOL(hAPP(X0,X3))
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 3.82/4.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8403]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_411,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X2,X5,X6,X7,X8,X0,X9)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X5),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4126_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8181,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X2,X5,X6,X7,X8,X0,X9)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X5),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_411]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8182,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X5),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X2,X5,X6,X7,X8,X0,X9) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8181]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_408,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X3,X6,X7,X8,X0,X9)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X5,X4),X2))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4126_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8175,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X3,X6,X7,X8,X0,X9)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X5,X4),X2))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_408]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8176,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X5),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X2,X5,X6,X7,X8,X0,X9) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8175]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_407,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X1,X2,X7,X0,X8)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4125_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8173,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X1,X2,X7,X0,X8)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_407]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8174,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X1,X2,X7,X0,X8) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8173]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_404,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X5,X1,X6,X7,X0,X8)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X6,X3),X2))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4125_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8167,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X5,X1,X6,X7,X0,X8)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X6,X3),X2))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_404]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8168,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X1,X2,X7,X0,X8) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8167]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_394,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X5)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X6,X0),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X0,X1,X9,X6,X2)
% 3.82/4.06 | X4 = X5 ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4121_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8147,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X5)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X6,X0),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X0,X1,X9,X6,X2)
% 3.82/4.06 | X4 = X5 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_394]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8148,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X1,X5,X6,X0,X7)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X8) != hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X9)
% 3.82/4.06 | X8 = X9 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8147]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_389,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,X4)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),hAPP(c_Suc,X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 3.82/4.06 | X3 = X5
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X5)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4119_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8137,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,X4)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),hAPP(c_Suc,X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 3.82/4.06 | X3 = X5
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X5)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_389]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8138,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),hAPP(c_Suc,X9)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),hAPP(c_Suc,X9))
% 3.82/4.06 | X2 = X3 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8137]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_387,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,X4)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),hAPP(c_Suc,X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X5))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X3))
% 3.82/4.06 | X3 = X5 ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4119_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8133,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,X4)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),hAPP(c_Suc,X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X5))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X3))
% 3.82/4.06 | X3 = X5 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_387]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8134,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),hAPP(c_Suc,X9)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),hAPP(c_Suc,X9))
% 3.82/4.06 | X3 = X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8133]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_383,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),X4)
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
% 3.82/4.06 | X3 = X5
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X5)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4118_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8125,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),X4)
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
% 3.82/4.06 | X3 = X5
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X5)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_383]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8126,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X9,tc_nat)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),X9) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),X9)
% 3.82/4.06 | X2 = X3 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8125]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_381,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),X4)
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X5))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X3))
% 3.82/4.06 | X3 = X5 ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4118_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8121,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),X4)
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X5))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X8,X7),X3))
% 3.82/4.06 | X3 = X5 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_381]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8122,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X9,tc_nat)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),X9) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),X9)
% 3.82/4.06 | X3 = X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8121]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_378,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X0,X1,X7,X8,X2)
% 3.82/4.06 | X3 = X4
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X6),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X6),X4)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4117_2) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8115,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X0,X1,X7,X8,X2)
% 3.82/4.06 | X3 = X4
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X6),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X6),X4)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_378]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8116,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 3.82/4.06 | X2 = X3 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8115]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_376,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X0,X1,X7,X8,X2)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X6),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X6),X3))
% 3.82/4.06 | X3 = X4 ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4117_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8111,plain,
% 3.82/4.06 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X0,X1,X7,X8,X2)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X6),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X6),X3))
% 3.82/4.06 | X3 = X4 ),
% 3.82/4.06 inference(copy,[status(esa)],[c_376]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8112,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 3.82/4.06 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 3.82/4.06 | X3 = X2 ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8111]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_373,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X1,X4,X5,X6,X0,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X7),X2),X8))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4116_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8105,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X1,X4,X5,X6,X0,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X7),X2),X8))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_373]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8106,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X6)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X5))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X1,X2,X3,X8,X0,X4) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8105]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_370,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X1,X4,X5,X0,X6,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X7),X2),X8))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4115_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8099,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X1,X4,X5,X0,X6,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X7),X2),X8))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_370]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8100,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X6)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X5))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X1,X2,X3,X0,X8,X4) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8099]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_367,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X1,X5,X0,X6,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X8))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4114_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8093,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X1,X5,X0,X6,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X8))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_367]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8094,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X0,X8,X3) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8093]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_363,plain,
% 3.82/4.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X5,X2,X6,X7,X1,X8)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X2,X6,X8),X3),X0))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4113_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8085,plain,
% 3.82/4.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X5,X2,X6,X7,X1,X8)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X2,X6,X8),X3),X0))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_363]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8086,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X5,tc_nat) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8085]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_360,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X1,X5,X6,X0,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),hAPP(c_Suc,X8)))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4112_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8079,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X1,X5,X6,X0,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),hAPP(c_Suc,X8)))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_360]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8080,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8079]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_357,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X1,X5,X6,X0,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X8)))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4111_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8073,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X1,X5,X6,X0,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X8)))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_357]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8074,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X4),X3),X5))))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X4) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8073]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_356,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),X1))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X7),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4110_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8071,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),X1))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X7),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_356]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8072,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),X1))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X6),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X1))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X1,X2,X8,X0,X3) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8071]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_353,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X3),X1))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X3,X2,X5,X6,X0,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X2,X5,X7),X1),hAPP(c_Suc,X8))),X2)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4110_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8065,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X3),X1))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X3,X2,X5,X6,X0,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X2,X5,X7),X1),hAPP(c_Suc,X8))),X2)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_353]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8066,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),X1))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X1))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X6),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X1,X2,X8,X0,X3) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8065]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_345,plain,
% 3.82/4.06 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X2,X3),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X3,X7,X8,X2,X9)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X7,X9),X4),X0)),hAPP(hAPP(c_Power_Opower_Opower(X3,X7,X9),X4),X1))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4108_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8049,plain,
% 3.82/4.06 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X2,X3),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X3,X7,X8,X2,X9)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X7,X9),X4),X0)),hAPP(hAPP(c_Power_Opower_Opower(X3,X7,X9),X4),X1))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_345]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8050,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(X5,X6,tc_nat) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8049]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_344,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X0,X9,X3)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X8),X4)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4107_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8047,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X0,X9,X3)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X8),X4)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_344]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8048,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X7),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X0,X9,X3) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8047]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_341,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X2),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),X9)),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),X9))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4107_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8041,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X2),X3))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),X9)),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),X9))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_341]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8042,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X7),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X0,X9,X3) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8041]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_340,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(X6,X5,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X8),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X1)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4106_4) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8039,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(X6,X5,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X8),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X1)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_340]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8040,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X7),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X1))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X9,X0,X3)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(X6,X5,tc_nat) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8039]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_336,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X3),X1))
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(X4,X5,tc_nat)
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X3,X2,X7,X8,X0,X9)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X2,X7,X9),X1),X5)),hAPP(hAPP(c_Power_Opower_Opower(X2,X7,X9),X1),X4))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4106_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8031,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X3),X1))
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(X4,X5,tc_nat)
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X3,X2,X7,X8,X0,X9)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X2,X7,X9),X1),X5)),hAPP(hAPP(c_Power_Opower_Opower(X2,X7,X9),X1),X4))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_336]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8032,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X1))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X7),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X9,X0,X3)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(X6,X5,tc_nat) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8031]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_334,plain,
% 3.82/4.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X0)),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),X0)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X2,X3,X9,X1,X4)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X1,X5),X6))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X9,X8),X5)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4105_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8027,plain,
% 3.82/4.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X0)),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),X0)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X2,X3,X9,X1,X4)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X1,X5),X6))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X9,X8),X5)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_334]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8028,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X8),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X9,X8,X1,X2,X7,X0,X3)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X5,tc_nat) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8027]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_331,plain,
% 3.82/4.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X4,X3),X5))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X2,X7,X8,X1,X4,X9)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X9),X3),X0)),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X9),X5),X0))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4105_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8021,plain,
% 3.82/4.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X4,X3),X5))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X2,X7,X8,X1,X4,X9)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X9),X3),X0)),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X9),X5),X0))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_331]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8022,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X8),X4))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X9,X8,X1,X2,X7,X0,X3)
% 3.82/4.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X5,tc_nat) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8021]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_328,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X1,X5,X6,X0,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X8)),hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X8)))) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4104_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8015,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X1,X5,X6,X0,X7)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X8)),hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X8)))) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_328]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_8016,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(X2,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5))))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_8015]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_319,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X7,X0,X8)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),X9)),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),X9)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X4),X2)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4101_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_7997,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X7,X0,X8)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),X9)),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),X9)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X4),X2)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_319]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_7998,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X4),X6))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X8),X6))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X9,X8,X1,X2,X7,X0,X3) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_7997]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_316,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X7),X8)),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X2),X8)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X9,X1,X4,X5,X0,X3,X6)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X3,X7),X2)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4101_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_7991,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X7),X8)),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X2),X8)))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X9,X1,X4,X5,X0,X3,X6)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X3,X7),X2)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_316]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_7992,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X7,X8),X6))
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X4),X6))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X9,X8,X1,X2,X7,X0,X3) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_7991]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_315,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X0,X7,X8)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),hAPP(c_Suc,X9))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),hAPP(c_Suc,X9))))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4100_3) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_7989,plain,
% 3.82/4.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X0,X7,X8)
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),hAPP(c_Suc,X9))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),hAPP(c_Suc,X9))))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 3.82/4.06 inference(copy,[status(esa)],[c_315]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_7990,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),hAPP(c_Suc,X5))))
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X4),X6))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,X7),X6))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X0,X9,X3) ),
% 3.82/4.06 inference(rewriting,[status(thm)],[c_7989]) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_312,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),hAPP(c_Suc,X7))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X2),hAPP(c_Suc,X7))))
% 3.82/4.06 | ~ c_Ring__and__Field_Oordered__semidom(X8,X1,X3,X4,X0,X9,X5)
% 3.82/4.06 | hBOOL(hAPP(hAPP(X0,X6),X2)) ),
% 3.82/4.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4100_0) ).
% 3.82/4.06
% 3.82/4.06 cnf(c_7983,plain,
% 3.82/4.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.06 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),hAPP(c_Suc,X7))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X2),hAPP(c_Suc,X7))))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X8,X1,X3,X4,X0,X9,X5)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X6),X2)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_312]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7984,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),hAPP(c_Suc,X5))))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X7),X6))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X4),X6))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X0,X9,X3) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7983]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_311,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5))),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X3,X1,X8,X0,X4)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X7),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4099_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7981,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5))),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X3,X1,X8,X0,X4)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X7),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_311]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7982,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5))),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X6),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X3))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X3,X1,X8,X0,X4) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7981]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_308,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X1))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X4,X3,X2,X5,X6,X0,X7)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X5,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X5,X7),X1),X8))),hAPP(hAPP(c_Power_Opower_Opower(X2,X5,X7),X1),X8))) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4099_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7975,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X1))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X4,X3,X2,X5,X6,X0,X7)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X5,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X5,X7),X1),X8))),hAPP(hAPP(c_Power_Opower_Opower(X2,X5,X7),X1),X8))) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_308]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7976,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5))),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X3))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X6),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X3,X1,X8,X0,X4) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7975]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_307,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X0,X7,X8)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4098_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7973,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X0,X7,X8)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_307]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7974,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X6),X5))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X1,X2,X0,X8,X3) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7973]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_304,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X7,X1,X3,X4,X0,X8,X5)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X6),X2)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4098_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7967,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X7,X1,X3,X4,X0,X8,X5)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X6),X2)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_304]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7968,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X6),X5))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X1,X2,X0,X8,X3) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7967]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_303,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X7,X0,X8)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X7,X4),X2)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4097_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7965,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X7,X0,X8)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X7,X4),X2)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_303]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7966,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X6,X7),X5))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X6,X0,X3) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7965]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_300,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X8,X1,X4,X5,X0,X3,X6)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X7),X2)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4097_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7959,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X8,X1,X4,X5,X0,X3,X6)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X7),X2)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_300]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7960,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X6,X7),X5))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X6,X0,X3) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7959]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_285,plain,
% 3.82/4.07 ( hAPP(X0,X1) != hAPP(X2,X3)
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X2,X5,X6,X7,X8,X9,X3,X10,X0,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X8,X1),X5)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4090_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7929,plain,
% 3.82/4.07 ( hAPP(X0,X1) != hAPP(X2,X3)
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X2,X5,X6,X7,X8,X9,X3,X10,X0,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X8,X1),X5)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_285]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7930,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.82/4.07 | hAPP(X9,X11) != hAPP(X1,X7) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7929]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_282,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 3.82/4.07 | hAPP(X10,X2) = X8 ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4089_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7923,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 3.82/4.07 | hAPP(X10,X2) = X8 ),
% 3.82/4.07 inference(copy,[status(esa)],[c_282]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7924,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.82/4.07 | hAPP(X9,X11) = X7 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7923]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_279,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 3.82/4.07 | hAPP(X10,X1) = hAPP(X4,X8) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4088_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7917,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 3.82/4.07 | hAPP(X10,X1) = hAPP(X4,X8) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_279]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7918,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.82/4.07 | hAPP(X9,X11) = hAPP(X1,X7) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7917]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_275,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | X11 = X12
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X12),X11)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4086_2) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7909,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | X11 = X12
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X12),X11)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_275]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7910,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X12),X11))
% 3.82/4.07 | X11 = X12 ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7909]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_266,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X1),hAPP(X10,X2))) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4083_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7891,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X1),hAPP(X10,X2))) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_266]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7892,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X2),hAPP(X9,X11)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7891]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_263,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4082_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7885,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_263]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7886,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X2),hAPP(X9,X11)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7885]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_258,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,hAPP(X10,X1)),X2)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4080_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7875,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,hAPP(X10,X1)),X2)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_258]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7876,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,hAPP(X9,X11)),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7875]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_255,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4079_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7869,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_255]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7870,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,hAPP(X9,X11)),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7869]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_238,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4074_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7835,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_238]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7836,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7835]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_235,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4074_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7829,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_235]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7830,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7829]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_234,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4073_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7827,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_234]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7828,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7827]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_231,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4073_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7821,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_231]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7822,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7821]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_230,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4072_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7819,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_230]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7820,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7819]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_227,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4072_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7813,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_227]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7814,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7813]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_226,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4071_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7811,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_226]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7812,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7811]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_223,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4071_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7805,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_223]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7806,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7805]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_222,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4070_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7803,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_222]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7804,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7803]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_219,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4070_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7797,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_219]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7798,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7797]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_218,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4069_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7795,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_218]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7796,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7795]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_215,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4069_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7789,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_215]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7790,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7789]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_214,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4068_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7787,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_214]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7788,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7787]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_211,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4068_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7781,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_211]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7782,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7781]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_210,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4067_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7779,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_210]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7780,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7779]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_207,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4067_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7773,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_207]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7774,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7773]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_206,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4066_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7771,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_206]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7772,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7771]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_203,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12))) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4066_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7765,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12))) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_203]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7766,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7765]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_202,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4065_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7763,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_202]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7764,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7763]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_199,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1))) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4065_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7757,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1))) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_199]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7758,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7757]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_198,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4064_3) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7755,plain,
% 3.82/4.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 3.82/4.07 inference(copy,[status(esa)],[c_198]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7756,plain,
% 3.82/4.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 3.82/4.07 inference(rewriting,[status(thm)],[c_7755]) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_195,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12))) ),
% 3.82/4.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4064_0) ).
% 3.82/4.07
% 3.82/4.07 cnf(c_7749,plain,
% 3.82/4.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12))) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_195]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7750,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7749]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_194,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4063_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7747,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_194]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7748,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7747]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_191,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1))) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4063_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7741,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1))) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_191]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7742,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7741]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_174,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4058_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7707,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_174]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7708,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X12),X7))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7707]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_171,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4058_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7701,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_171]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7702,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7701]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_170,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4057_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7699,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_170]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7700,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X7),X12))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7699]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_167,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4057_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7693,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_167]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7694,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7693]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_166,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4056_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7691,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_166]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7692,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X12),X7))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7691]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_163,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4056_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7685,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_163]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7686,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7685]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_162,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4055_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7683,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_162]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7684,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X7),X12))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7683]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_159,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4055_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7677,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_159]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7678,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7677]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_158,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4054_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7675,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_158]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7676,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X12),X7))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7675]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_155,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4054_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7669,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_155]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7670,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7669]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_154,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4053_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7667,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_154]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7668,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X7),X12))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7667]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_151,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4053_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7661,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_151]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7662,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7661]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_150,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4052_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7659,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_150]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7660,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X12),X7))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7659]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_147,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4052_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7653,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_147]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7654,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7653]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_146,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4051_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7651,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_146]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7652,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X7),X12))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7651]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_143,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4051_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7645,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_143]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7646,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7645]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_142,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4050_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7643,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_142]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7644,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7643]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_139,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4050_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7637,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_139]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7638,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7637]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_138,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4049_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7635,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_138]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7636,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7635]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_135,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4049_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7629,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_135]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7630,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7629]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_134,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4048_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7627,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_134]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7628,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X2),X12))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X7),X11)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7627]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_131,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4048_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7621,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_131]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7622,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X7),X11))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7621]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_130,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4047_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7619,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_130]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7620,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X12),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),X7)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7619]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_127,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4047_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7613,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_127]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7614,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X4,X11),X7))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,X12),X2)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7613]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_126,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4046_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7611,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_126]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7612,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7611]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_123,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4046_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7605,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_123]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7606,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7605]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_122,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4045_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7603,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_122]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7604,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7603]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_119,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4045_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7597,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_119]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7598,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7597]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_118,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4044_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7595,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_118]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7596,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X2),X12))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X7),X11)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7595]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_115,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4044_0) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7589,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_115]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7590,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X7),X11))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7589]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_114,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4043_3) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7587,plain,
% 3.82/4.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.08 inference(copy,[status(esa)],[c_114]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_7588,plain,
% 3.82/4.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.08 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.08 | hBOOL(hAPP(hAPP(X4,X12),X2))
% 3.82/4.08 | ~ hBOOL(hAPP(hAPP(X5,X11),X7)) ),
% 3.82/4.08 inference(rewriting,[status(thm)],[c_7587]) ).
% 3.82/4.08
% 3.82/4.08 cnf(c_111,plain,
% 3.82/4.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4043_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7581,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_111]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7582,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X11),X7))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,X12),X2)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7581]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_108,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4041_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7575,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_108]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7576,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X11),X7))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X7),X11)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7575]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_105,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4041_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7569,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_105]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7570,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X7),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X11),X7)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7569]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_104,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4040_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7567,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_104]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7568,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7567]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_101,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4040_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7561,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_101]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7562,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7561]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_100,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4039_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7559,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_100]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7560,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X11),X7))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X7),X11)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7559]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_97,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4039_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7553,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_97]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7554,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X7),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X11),X7)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7553]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_96,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4038_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7551,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_96]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7552,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7551]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_93,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4038_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7545,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_93]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7546,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7545]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_90,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4036_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7539,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_90]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7540,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,X7),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X12),X2)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7539]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_87,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4036_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7533,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_87]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7534,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X12),X2))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,X7),X11)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7533]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_86,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4035_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7531,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_86]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7532,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,X11),X7))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7531]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_83,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4035_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7525,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_83]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7526,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X2),X12))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,X11),X7)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7525]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_82,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4034_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7523,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_82]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7524,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,X7),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7523]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_79,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4034_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7517,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_79]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7518,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7517]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_78,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4033_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7515,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_78]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7516,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,X12),X7))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7515]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_75,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4033_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7509,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_75]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7510,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7509]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_74,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4032_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7507,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_74]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7508,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,X7),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X12),X2)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7507]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_71,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4032_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7501,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_71]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7502,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X12),X2))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,X7),X11)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7501]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_70,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4031_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7499,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_70]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7500,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,X11),X7))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7499]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_67,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4031_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7493,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_67]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7494,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X2),X12))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,X11),X7)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7493]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_66,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4030_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7491,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_66]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7492,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,X7),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7491]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_63,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4030_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7485,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_63]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7486,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7485]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_62,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4029_3) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7483,plain,
% 3.82/4.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_62]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7484,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,X12),X7))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7483]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_59,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4029_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7477,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_59]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7478,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7477]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_34,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X1)),X6)))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X10,X0,X5,X2,X3,X11,X4)
% 3.82/4.09 | X6 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4018_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7427,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X1)),X6)))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X10,X0,X5,X2,X3,X11,X4)
% 3.82/4.09 | X6 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_34]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7428,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X2)),X11)))
% 3.82/4.09 | X11 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7427]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_27,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X6)))))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X0,X10,X11,X2,X3,X12,X4)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4015_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7413,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X6)))))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X0,X10,X11,X2,X3,X12,X4)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_27]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7414,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X12)))))
% 3.82/4.09 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7413]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_24,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X12)))),X2)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4014_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7407,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X12)))),X2)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_24]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7408,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X12)))),X2))
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7407]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X7))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 3.82/4.09 | X5 = X7 ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4005_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7365,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X7))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 3.82/4.09 | X5 = X7 ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7366,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X2))
% 3.82/4.09 | X11 = X2 ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7365]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_0,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X7))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 3.82/4.09 | X6 = X7 ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4004_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7359,plain,
% 3.82/4.09 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X7))
% 3.82/4.09 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 3.82/4.09 | X6 = X7 ),
% 3.82/4.09 inference(copy,[status(esa)],[c_0]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_7360,plain,
% 3.82/4.09 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.82/4.09 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X2))
% 3.82/4.09 | X12 = X2 ),
% 3.82/4.09 inference(rewriting,[status(thm)],[c_7359]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3361,negated_conjecture,
% 3.82/4.09 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3990,negated_conjecture,
% 3.82/4.09 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3361]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3994,negated_conjecture,
% 3.82/4.09 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3990]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3995,negated_conjecture,
% 3.82/4.09 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3994]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3996,negated_conjecture,
% 3.82/4.09 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3995]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_14018,negated_conjecture,
% 3.82/4.09 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3996]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3360,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_991_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_14016,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3360]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3359,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_992_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_14014,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3359]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3351,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_997_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_14004,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3351]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3346,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1002_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13998,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3346]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3344,plain,
% 3.82/4.09 ( c_fequal(X0,X0,X1) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1004_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13995,plain,
% 3.82/4.09 ( c_fequal(X0,X0,X1) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3344]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3343,plain,
% 3.82/4.09 ( c_Int_OBit0(X0) != c_Int_OBit1(X1) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1005_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13993,plain,
% 3.82/4.09 ( c_Int_OBit0(X0) != c_Int_OBit1(X1) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3343]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3342,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1006_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13991,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3342]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3341,plain,
% 3.82/4.09 ( c_Int_OBit1(X0) != c_Int_OBit0(X1) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1007_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13989,plain,
% 3.82/4.09 ( c_Int_OBit1(X0) != c_Int_OBit0(X1) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3341]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3338,plain,
% 3.82/4.09 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1010_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13985,plain,
% 3.82/4.09 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3338]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3337,plain,
% 3.82/4.09 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1011_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13983,plain,
% 3.82/4.09 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3337]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3333,plain,
% 3.82/4.09 ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1)) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1015_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13978,plain,
% 3.82/4.09 ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1)) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3333]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3332,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1016_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13976,plain,
% 3.82/4.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3332]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3327,plain,
% 3.82/4.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1021_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13969,plain,
% 3.82/4.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3327]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3326,plain,
% 3.82/4.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1022_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13967,plain,
% 3.82/4.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3326]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3323,plain,
% 3.82/4.09 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1025_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13963,plain,
% 3.82/4.09 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3323]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3322,plain,
% 3.82/4.09 ( c_Int_OBit1(X0) != c_Int_OPls ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1026_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13961,plain,
% 3.82/4.09 ( c_Int_OBit1(X0) != c_Int_OPls ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3322]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3321,plain,
% 3.82/4.09 ( c_Int_OPls != c_Int_OBit1(X0) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1027_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13959,plain,
% 3.82/4.09 ( c_Int_OPls != c_Int_OBit1(X0) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3321]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3318,plain,
% 3.82/4.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0),tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1030_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13955,plain,
% 3.82/4.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0),tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3318]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3317,plain,
% 3.82/4.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)),tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1031_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13953,plain,
% 3.82/4.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)),tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3317]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3313,plain,
% 3.82/4.09 ( c_Fun_Oinj__on(c_Suc,X0,tc_nat,tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1035_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13948,plain,
% 3.82/4.09 ( c_Fun_Oinj__on(c_Suc,X0,tc_nat,tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3313]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3306,plain,
% 3.82/4.09 ( hAPP(c_Suc,X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1042_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13939,plain,
% 3.82/4.09 ( hAPP(c_Suc,X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3306]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3304,plain,
% 3.82/4.09 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1044_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13935,plain,
% 3.82/4.09 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3304]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3302,plain,
% 3.82/4.09 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1046_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13932,plain,
% 3.82/4.09 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3302]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3300,plain,
% 3.82/4.09 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1048_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13928,plain,
% 3.82/4.09 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3300]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3294,plain,
% 3.82/4.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1054_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13920,plain,
% 3.82/4.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3294]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3293,plain,
% 3.82/4.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),X0)),tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1055_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13918,plain,
% 3.82/4.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),X0)),tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3293]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3292,plain,
% 3.82/4.09 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1056_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13916,plain,
% 3.82/4.09 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3292]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3288,plain,
% 3.82/4.09 ( c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(c_Suc,X0) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1060_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13910,plain,
% 3.82/4.09 ( c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(c_Suc,X0) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3288]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3287,plain,
% 3.82/4.09 ( hAPP(c_Suc,X0) != X0 ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1061_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13908,plain,
% 3.82/4.09 ( hAPP(c_Suc,X0) != X0 ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3287]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3286,plain,
% 3.82/4.09 ( X0 != hAPP(c_Suc,X0) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1062_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13906,plain,
% 3.82/4.09 ( X0 != hAPP(c_Suc,X0) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3286]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3284,plain,
% 3.82/4.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),X0),tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1064_0) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_13903,plain,
% 3.82/4.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),X0),tc_nat) ),
% 3.82/4.09 inference(copy,[status(esa)],[c_3284]) ).
% 3.82/4.09
% 3.82/4.09 cnf(c_3283,plain,
% 3.82/4.09 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 3.82/4.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1065_0) ).
% 3.82/4.09
% 3.82/4.10 cnf(c_13901,plain,
% 3.82/4.10 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3283]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3281,plain,
% 3.82/4.10 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1067_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13897,plain,
% 3.82/4.10 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3281]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3280,plain,
% 3.82/4.10 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1068_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13895,plain,
% 3.82/4.10 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3280]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3279,plain,
% 3.82/4.10 ( class_Int_Onumber(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1069_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13893,plain,
% 3.82/4.10 ( class_Int_Onumber(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3279]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3278,plain,
% 3.82/4.10 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1070_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13891,plain,
% 3.82/4.10 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3278]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3277,plain,
% 3.82/4.10 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1071_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13889,plain,
% 3.82/4.10 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3277]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3276,plain,
% 3.82/4.10 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1072_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13887,plain,
% 3.82/4.10 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3276]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3275,plain,
% 3.82/4.10 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1073_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13885,plain,
% 3.82/4.10 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3275]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3274,plain,
% 3.82/4.10 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1074_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13883,plain,
% 3.82/4.10 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3274]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3273,plain,
% 3.82/4.10 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1075_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13881,plain,
% 3.82/4.10 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3273]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3272,plain,
% 3.82/4.10 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1076_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13879,plain,
% 3.82/4.10 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3272]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3271,plain,
% 3.82/4.10 ( class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1077_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13877,plain,
% 3.82/4.10 ( class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3271]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3270,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1078_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13875,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3270]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3269,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1079_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13873,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3269]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3268,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1080_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13871,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3268]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3267,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1081_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13869,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3267]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3266,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1082_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13867,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3266]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3265,plain,
% 3.82/4.10 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1083_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13865,plain,
% 3.82/4.10 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3265]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3264,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1084_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13863,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3264]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3263,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1085_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13861,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3263]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3262,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1086_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13859,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3262]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3261,plain,
% 3.82/4.10 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1087_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13857,plain,
% 3.82/4.10 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3261]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3260,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1088_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13855,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3260]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3259,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1089_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13853,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3259]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3258,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1090_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13851,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3258]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3257,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1091_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13849,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3257]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3256,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1092_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13847,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3256]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3255,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1093_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13845,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3255]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3254,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1094_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13843,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3254]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3253,plain,
% 3.82/4.10 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1095_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13841,plain,
% 3.82/4.10 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3253]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3252,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1096_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13839,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3252]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3251,plain,
% 3.82/4.10 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1097_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13837,plain,
% 3.82/4.10 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3251]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3250,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1098_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13835,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3250]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3249,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1099_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13833,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3249]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3248,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1100_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13831,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3248]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3247,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1101_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13829,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3247]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3246,plain,
% 3.82/4.10 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1102_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13827,plain,
% 3.82/4.10 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3246]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3245,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1103_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13825,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3245]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3244,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1104_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13823,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3244]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3243,plain,
% 3.82/4.10 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1105_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13821,plain,
% 3.82/4.10 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3243]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3242,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1106_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13819,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3242]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3241,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1107_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13817,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3241]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3240,plain,
% 3.82/4.10 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1108_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13815,plain,
% 3.82/4.10 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3240]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3239,plain,
% 3.82/4.10 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1109_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13813,plain,
% 3.82/4.10 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3239]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3238,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1110_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13811,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3238]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3237,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1111_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13809,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3237]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3236,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1112_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13807,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3236]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3235,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1113_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13805,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3235]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3234,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1114_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13803,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3234]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3233,plain,
% 3.82/4.10 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1115_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13801,plain,
% 3.82/4.10 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3233]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3232,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1116_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13799,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3232]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3231,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1117_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13797,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3231]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3230,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1118_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13795,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3230]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3229,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1119_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13793,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3229]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3228,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1120_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13791,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3228]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3227,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1121_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13789,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3227]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3226,plain,
% 3.82/4.10 ( class_Int_Onumber(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1122_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13787,plain,
% 3.82/4.10 ( class_Int_Onumber(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3226]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3225,plain,
% 3.82/4.10 ( class_Power_Opower(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1123_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13785,plain,
% 3.82/4.10 ( class_Power_Opower(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3225]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3224,plain,
% 3.82/4.10 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1124_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13783,plain,
% 3.82/4.10 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3224]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3223,plain,
% 3.82/4.10 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1125_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13781,plain,
% 3.82/4.10 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3223]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3222,plain,
% 3.82/4.10 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1126_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13779,plain,
% 3.82/4.10 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3222]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3221,plain,
% 3.82/4.10 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1127_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13777,plain,
% 3.82/4.10 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3221]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3220,plain,
% 3.82/4.10 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1128_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13775,plain,
% 3.82/4.10 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3220]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3219,plain,
% 3.82/4.10 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1129_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13773,plain,
% 3.82/4.10 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3219]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3218,plain,
% 3.82/4.10 ( class_Ring__and__Field_Odvd(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1130_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13771,plain,
% 3.82/4.10 ( class_Ring__and__Field_Odvd(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3218]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3217,plain,
% 3.82/4.10 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1131_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13769,plain,
% 3.82/4.10 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3217]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3216,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1132_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13767,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3216]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3215,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1133_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13765,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3215]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3214,plain,
% 3.82/4.10 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1134_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13763,plain,
% 3.82/4.10 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3214]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3213,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1135_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13761,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3213]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3212,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1136_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13759,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3212]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3211,plain,
% 3.82/4.10 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1137_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13757,plain,
% 3.82/4.10 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3211]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3210,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1138_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13755,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3210]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3209,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1139_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13753,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3209]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3208,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1140_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13751,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3208]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3207,plain,
% 3.82/4.10 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1141_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13749,plain,
% 3.82/4.10 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3207]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3206,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1142_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13747,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3206]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3205,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1143_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13745,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3205]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3204,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1144_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13743,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3204]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3203,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1145_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13741,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3203]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3202,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1146_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13739,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3202]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3201,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1147_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13737,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3201]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3200,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1148_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13735,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3200]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3199,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1149_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13733,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3199]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3198,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1150_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13731,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3198]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3197,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1151_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13729,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3197]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3196,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1152_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13727,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3196]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3195,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1153_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13725,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3195]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3194,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1154_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13723,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3194]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3193,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1155_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13721,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3193]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3192,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1156_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13719,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3192]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3191,plain,
% 3.82/4.10 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1157_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13717,plain,
% 3.82/4.10 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3191]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3190,plain,
% 3.82/4.10 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1158_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13715,plain,
% 3.82/4.10 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3190]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3189,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1159_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13713,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3189]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3188,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1160_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13711,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3188]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3187,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1161_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13709,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3187]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3186,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1162_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13707,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3186]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3185,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1163_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13705,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3185]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3184,plain,
% 3.82/4.10 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1164_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13703,plain,
% 3.82/4.10 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3184]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3183,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1165_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13701,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3183]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3182,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1166_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13699,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3182]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3181,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1167_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13697,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3181]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3180,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1168_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13695,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3180]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3179,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1169_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13693,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3179]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3178,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1170_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13691,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3178]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3177,plain,
% 3.82/4.10 ( class_Orderings_Oorder(tc_bool) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1171_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13689,plain,
% 3.82/4.10 ( class_Orderings_Oorder(tc_bool) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3177]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3176,plain,
% 3.82/4.10 ( class_Orderings_Opreorder(tc_bool) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1172_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13687,plain,
% 3.82/4.10 ( class_Orderings_Opreorder(tc_bool) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3176]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3175,plain,
% 3.82/4.10 ( class_Lattices_Oboolean__algebra(tc_bool) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1173_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13685,plain,
% 3.82/4.10 ( class_Lattices_Oboolean__algebra(tc_bool) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3175]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3174,plain,
% 3.82/4.10 ( class_Int_Onumber(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1174_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13683,plain,
% 3.82/4.10 ( class_Int_Onumber(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3174]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3173,plain,
% 3.82/4.10 ( class_Power_Opower(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1175_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13681,plain,
% 3.82/4.10 ( class_Power_Opower(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3173]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3172,plain,
% 3.82/4.10 ( class_Orderings_Oorder(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1176_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13679,plain,
% 3.82/4.10 ( class_Orderings_Oorder(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3172]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3171,plain,
% 3.82/4.10 ( class_Orderings_Olinorder(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1177_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13677,plain,
% 3.82/4.10 ( class_Orderings_Olinorder(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3171]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3170,plain,
% 3.82/4.10 ( class_Orderings_Opreorder(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1178_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13675,plain,
% 3.82/4.10 ( class_Orderings_Opreorder(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3170]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3169,plain,
% 3.82/4.10 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1179_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13673,plain,
% 3.82/4.10 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3169]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3168,plain,
% 3.82/4.10 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1180_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13671,plain,
% 3.82/4.10 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3168]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3167,plain,
% 3.82/4.10 ( class_Divides_Osemiring__div(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1181_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13669,plain,
% 3.82/4.10 ( class_Divides_Osemiring__div(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3167]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3166,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1182_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13667,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3166]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3165,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1183_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13665,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3165]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3164,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1184_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13663,plain,
% 3.82/4.10 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3164]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3163,plain,
% 3.82/4.10 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1185_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13661,plain,
% 3.82/4.10 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3163]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3162,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1186_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13659,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3162]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3161,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1187_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13657,plain,
% 3.82/4.10 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3161]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3160,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1188_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13655,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3160]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3159,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1189_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13653,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3159]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3158,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1190_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13651,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3158]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3157,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1191_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13649,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3157]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3156,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1192_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13647,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3156]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3155,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1193_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13645,plain,
% 3.82/4.10 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3155]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3154,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1194_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13643,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3154]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3153,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1195_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13641,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3153]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3152,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1196_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13639,plain,
% 3.82/4.10 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3152]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3151,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1197_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13637,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3151]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3150,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1198_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13635,plain,
% 3.82/4.10 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3150]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3149,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1199_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13633,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3149]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3148,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1200_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13631,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3148]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3147,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1201_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13629,plain,
% 3.82/4.10 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3147]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3146,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1202_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13627,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3146]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3145,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1203_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13625,plain,
% 3.82/4.10 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3145]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3136,plain,
% 3.82/4.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1212_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13615,plain,
% 3.82/4.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3136]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3125,plain,
% 3.82/4.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1223_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13603,plain,
% 3.82/4.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3125]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3122,plain,
% 3.82/4.10 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1226_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13599,plain,
% 3.82/4.10 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3122]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3121,plain,
% 3.82/4.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1227_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13597,plain,
% 3.82/4.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3121]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3118,plain,
% 3.82/4.10 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1230_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13593,plain,
% 3.82/4.10 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3118]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3115,plain,
% 3.82/4.10 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1233_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13589,plain,
% 3.82/4.10 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3115]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3114,plain,
% 3.82/4.10 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_1234_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13587,plain,
% 3.82/4.10 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3114]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3112,plain,
% 3.82/4.10 ( c_Int_OBit0(X0) != c_Int_OPls | c_Int_OPls = X0 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5004_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13583,plain,
% 3.82/4.10 ( c_Int_OBit0(X0) != c_Int_OPls | c_Int_OPls = X0 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3112]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13584,plain,
% 3.82/4.10 ( c_Int_OPls = X0 | c_Int_OBit0(X0) != c_Int_OPls ),
% 3.82/4.10 inference(rewriting,[status(thm)],[c_13583]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3110,plain,
% 3.82/4.10 ( c_Int_OBit0(X0) != c_Int_OPls | X0 = c_Int_OPls ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5003_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13579,plain,
% 3.82/4.10 ( c_Int_OBit0(X0) != c_Int_OPls | X0 = c_Int_OPls ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3110]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3108,plain,
% 3.82/4.10 ( c_Int_OBit1(X0) != c_Int_OBit1(X1) | X0 = X1 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5002_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13575,plain,
% 3.82/4.10 ( c_Int_OBit1(X0) != c_Int_OBit1(X1) | X0 = X1 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3108]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3106,plain,
% 3.82/4.10 ( c_Int_OBit0(X0) != c_Int_OBit0(X1) | X0 = X1 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5001_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13571,plain,
% 3.82/4.10 ( c_Int_OBit0(X0) != c_Int_OBit0(X1) | X0 = X1 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3106]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3102,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.82/4.10 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4999_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13563,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 3.82/4.10 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3102]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3098,plain,
% 3.82/4.10 ( ~ class_Int_Onumber__ring(X0)
% 3.82/4.10 | c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4997_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13555,plain,
% 3.82/4.10 ( ~ class_Int_Onumber__ring(X0)
% 3.82/4.10 | c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3098]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3096,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.82/4.10 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4996_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13551,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.82/4.10 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3096]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3092,plain,
% 3.82/4.10 ( ~ class_Int_Onumber__ring(X0)
% 3.82/4.10 | c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4994_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13543,plain,
% 3.82/4.10 ( ~ class_Int_Onumber__ring(X0)
% 3.82/4.10 | c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3092]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3090,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.82/4.10 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4993_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13539,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.82/4.10 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3090]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3088,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.82/4.10 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4992_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13535,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.82/4.10 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3088]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3086,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4991_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13531,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3086]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3082,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4989_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13523,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3082]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3080,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4988_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13519,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3080]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3078,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.82/4.10 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4987_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13515,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.82/4.10 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3078]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3076,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.10 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4986_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13511,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.82/4.10 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3076]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3074,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4985_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13507,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3074]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3071,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.82/4.10 | ~ c_Int_Oiszero(X1,X0)
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4984_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13501,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.82/4.10 | ~ c_Int_Oiszero(X1,X0)
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3071]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3068,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4983_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13495,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3068]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3066,plain,
% 3.82/4.10 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4982_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13491,plain,
% 3.82/4.10 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3066]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13492,plain,
% 3.82/4.10 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 3.82/4.10 inference(rewriting,[status(thm)],[c_13491]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3064,plain,
% 3.82/4.10 ( ~ class_Orderings_Opreorder(X0)
% 3.82/4.10 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4981_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13487,plain,
% 3.82/4.10 ( ~ class_Orderings_Opreorder(X0)
% 3.82/4.10 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3064]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13488,plain,
% 3.82/4.10 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 3.82/4.10 | ~ class_Orderings_Opreorder(X1) ),
% 3.82/4.10 inference(rewriting,[status(thm)],[c_13487]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3062,plain,
% 3.82/4.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.82/4.10 | class_Lattices_Oboolean__algebra(tc_fun(X1,X0)) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4980_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13483,plain,
% 3.82/4.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.82/4.10 | class_Lattices_Oboolean__algebra(tc_fun(X1,X0)) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3062]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13484,plain,
% 3.82/4.10 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 3.82/4.10 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 3.82/4.10 inference(rewriting,[status(thm)],[c_13483]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3059,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.82/4.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4979_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13477,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.82/4.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3059]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3054,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.82/4.10 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4977_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13467,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.82/4.10 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3054]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3051,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.82/4.10 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4976_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13461,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.82/4.10 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3051]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3048,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4975_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13455,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3048]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3045,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.82/4.10 | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4974_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13449,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.82/4.10 | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3045]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13450,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ozero__class_Ozero(X0) = X1
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(rewriting,[status(thm)],[c_13449]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3042,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4973_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13443,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3042]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3038,plain,
% 3.82/4.10 ( hAPP(c_Suc,X0) != hAPP(c_Suc,X1) | X0 = X1 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4971_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13435,plain,
% 3.82/4.10 ( hAPP(c_Suc,X0) != hAPP(c_Suc,X1) | X0 = X1 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3038]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3036,plain,
% 3.82/4.10 ( hAPP(c_NthRoot_Osqrt,X0) != hAPP(c_NthRoot_Osqrt,X1) | X0 = X1 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4970_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13431,plain,
% 3.82/4.10 ( hAPP(c_NthRoot_Osqrt,X0) != hAPP(c_NthRoot_Osqrt,X1) | X0 = X1 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3036]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3032,plain,
% 3.82/4.10 ( c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Int_Oint) != c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Int_Oint)
% 3.82/4.10 | X0 = X1 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4968_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13423,plain,
% 3.82/4.10 ( c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Int_Oint) != c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Int_Oint)
% 3.82/4.10 | X0 = X1 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3032]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3030,plain,
% 3.82/4.10 ( ~ class_Int_Onumber__ring(X0)
% 3.82/4.10 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4967_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13419,plain,
% 3.82/4.10 ( ~ class_Int_Onumber__ring(X0)
% 3.82/4.10 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3030]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3026,plain,
% 3.82/4.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4965_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13411,plain,
% 3.82/4.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3026]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3020,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4962_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13399,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3020]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3012,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.82/4.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 3.82/4.10 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4960_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13383,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.82/4.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 3.82/4.10 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3012]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3010,plain,
% 3.82/4.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 3.82/4.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4959_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13379,plain,
% 3.82/4.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 3.82/4.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3010]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3007,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4958_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13373,plain,
% 3.82/4.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.82/4.10 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 3.82/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3007]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3004,plain,
% 3.82/4.10 ( ~ class_Nat_Osemiring__char__0(X0)
% 3.82/4.10 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 3.82/4.10 | X1 = X2 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4957_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13367,plain,
% 3.82/4.10 ( ~ class_Nat_Osemiring__char__0(X0)
% 3.82/4.10 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 3.82/4.10 | X1 = X2 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3004]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_3001,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.82/4.10 | X1 = X2 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4956_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13361,plain,
% 3.82/4.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.82/4.10 | X1 = X2 ),
% 3.82/4.10 inference(copy,[status(esa)],[c_3001]) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_2998,plain,
% 3.82/4.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.82/4.10 | X1 = X2 ),
% 3.82/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4955_0) ).
% 3.82/4.10
% 3.82/4.10 cnf(c_13355,plain,
% 3.82/4.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 3.82/4.10 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.91/4.10 | X1 = X2 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2998]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2993,plain,
% 3.91/4.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4953_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13345,plain,
% 3.91/4.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2993]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2991,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4952_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13341,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2991]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2981,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.91/4.10 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4949_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13321,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.91/4.10 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2981]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2979,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.91/4.10 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4948_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13317,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.91/4.10 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2979]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2977,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.10 | c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4947_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13313,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.10 | c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2977]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2975,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4946_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13309,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2975]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2973,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4945_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13305,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2973]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2971,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4944_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13301,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2971]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2967,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.91/4.10 | X1 = X2
% 3.91/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4943_1) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13293,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.91/4.10 | X1 = X2
% 3.91/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2967]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13294,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 3.91/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.10 | X1 = X2 ),
% 3.91/4.10 inference(rewriting,[status(thm)],[c_13293]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2964,plain,
% 3.91/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.10 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4942_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13287,plain,
% 3.91/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.10 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2964]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2962,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4941_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13283,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2962]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2960,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4940_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13279,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2960]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2958,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4939_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13275,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2958]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2956,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4938_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13271,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2956]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2954,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4937_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13267,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2954]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2952,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4936_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13263,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2952]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2950,plain,
% 3.91/4.10 ( ~ class_Power_Opower(X0)
% 3.91/4.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4935_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13259,plain,
% 3.91/4.10 ( ~ class_Power_Opower(X0)
% 3.91/4.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2950]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2948,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4934_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13255,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2948]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2946,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4933_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13251,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2946]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2944,plain,
% 3.91/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.10 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4932_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13247,plain,
% 3.91/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.10 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2944]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2942,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4931_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13243,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2942]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2940,plain,
% 3.91/4.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4930_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13239,plain,
% 3.91/4.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2940]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2938,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4929_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13235,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2938]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2934,plain,
% 3.91/4.10 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4927_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13227,plain,
% 3.91/4.10 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2934]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2932,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4926_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13223,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2932]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2930,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4925_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13219,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2930]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2924,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4923_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13207,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2924]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13208,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.91/4.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(rewriting,[status(thm)],[c_13207]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2922,plain,
% 3.91/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.10 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4922_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13203,plain,
% 3.91/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.10 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2922]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2920,plain,
% 3.91/4.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4921_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13199,plain,
% 3.91/4.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2920]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2918,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4920_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13195,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2918]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2916,plain,
% 3.91/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.10 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4919_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13191,plain,
% 3.91/4.10 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.10 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2916]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2912,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4917_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13183,plain,
% 3.91/4.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2912]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2910,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4916_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13179,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2910]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2908,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4915_0) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_13175,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 3.91/4.10 inference(copy,[status(esa)],[c_2908]) ).
% 3.91/4.10
% 3.91/4.10 cnf(c_2904,plain,
% 3.91/4.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 3.91/4.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4913_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13167,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2904]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2902,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4912_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13163,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2902]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2900,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4911_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13159,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2900]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2895,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4909_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13149,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2895]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13150,plain,
% 3.91/4.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_13149]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2889,plain,
% 3.91/4.11 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4906_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13137,plain,
% 3.91/4.11 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2889]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2887,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4905_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13133,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2887]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2885,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4904_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13129,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2885]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2883,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4903_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13125,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2883]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2881,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4902_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13121,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2881]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2879,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4901_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13117,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2879]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13118,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_13117]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2874,plain,
% 3.91/4.11 ( ~ class_Power_Opower(X0)
% 3.91/4.11 | c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4899_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13107,plain,
% 3.91/4.11 ( ~ class_Power_Opower(X0)
% 3.91/4.11 | c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2874]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2870,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4897_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13099,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2870]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2866,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4896_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13091,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2866]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2857,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4893_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13073,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2857]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2855,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4892_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13069,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2855]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2849,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4889_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13057,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2849]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2847,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 3.91/4.11 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4888_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13053,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 3.91/4.11 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2847]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2845,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4887_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13049,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2845]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2843,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4886_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13045,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2843]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2840,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != X0
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4885_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13039,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != X0
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2840]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2838,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4884_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13035,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2838]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2836,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4883_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13031,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2836]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2834,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)) = X1 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4882_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13027,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)) = X1 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2834]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2829,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4880_1) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13017,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2829]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2828,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4880_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13015,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2828]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2825,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4879_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_13009,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2825]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2813,plain,
% 3.91/4.11 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4875_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12985,plain,
% 3.91/4.11 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2813]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2808,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ouminus__class_Ouminus(X1,X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4873_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12975,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ouminus__class_Ouminus(X1,X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2808]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2802,plain,
% 3.91/4.11 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 3.91/4.11 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4871_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12963,plain,
% 3.91/4.11 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 3.91/4.11 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2802]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2800,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = X1 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4870_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12959,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = X1 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2800]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2797,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.11 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4869_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12953,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.11 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2797]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2794,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.11 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4868_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12947,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.11 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2794]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2792,plain,
% 3.91/4.11 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4867_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12943,plain,
% 3.91/4.11 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2792]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12944,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12943]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2790,plain,
% 3.91/4.11 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4866_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12939,plain,
% 3.91/4.11 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2790]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12940,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12939]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2788,plain,
% 3.91/4.11 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4865_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12935,plain,
% 3.91/4.11 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2788]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12936,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12935]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2779,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X1,X0)) = c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4862_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12917,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X1,X0)) = c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2779]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2764,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4858_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12887,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2764]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2761,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4857_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12881,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2761]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2745,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4852_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12849,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2745]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2740,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4850_1) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12839,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2740]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2739,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4850_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12837,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2739]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2734,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)),X1) = X1 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4848_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12827,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)),X1) = X1 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2734]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2731,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.11 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4847_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12821,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.11 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2731]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12822,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.11 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12821]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2724,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4845_1) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12807,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2724]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2723,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4845_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12805,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2723]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2720,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4844_1) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12799,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2720]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2719,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4844_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12797,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2719]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2715,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = X2 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4843_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12789,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = X2 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2715]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2712,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4842_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12783,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2712]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2706,plain,
% 3.91/4.11 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.11 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 3.91/4.11 | X1 = X0 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4840_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12771,plain,
% 3.91/4.11 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.11 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 3.91/4.11 | X1 = X0 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2706]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2703,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4839_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12765,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2703]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2700,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4838_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12759,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2700]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2697,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4837_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12753,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2697]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2693,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4835_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12745,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2693]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2691,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4834_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12741,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2691]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2687,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4832_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12733,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2687]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2685,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4831_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12729,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2685]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12730,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12729]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2683,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4830_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12725,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2683]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2681,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4829_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12721,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2681]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2677,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4827_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12713,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2677]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2675,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4826_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12709,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2675]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2666,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4823_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12691,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2666]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2663,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4822_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12685,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2663]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12686,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12685]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2637,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4815_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12633,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2637]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2634,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4814_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12627,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2634]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2632,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4813_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12623,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2632]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12624,plain,
% 3.91/4.11 ( c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12623]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2615,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4809_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12589,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2615]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2613,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4808_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12585,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2613]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2611,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4807_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12581,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2611]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2609,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4806_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12577,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2609]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12578,plain,
% 3.91/4.11 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12577]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2607,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4805_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12573,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2607]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12574,plain,
% 3.91/4.11 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12573]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2605,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)),X1) = X1 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4804_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12569,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)),X1) = X1 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2605]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2593,plain,
% 3.91/4.11 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X0),X3) = X3 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4801_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12545,plain,
% 3.91/4.11 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X0),X3) = X3 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2593]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2591,plain,
% 3.91/4.11 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X3),X0) = X3 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4800_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12541,plain,
% 3.91/4.11 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X3),X0) = X3 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2591]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2583,plain,
% 3.91/4.11 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4797_1) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12525,plain,
% 3.91/4.11 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2583]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2582,plain,
% 3.91/4.11 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4797_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12523,plain,
% 3.91/4.11 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2582]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2580,plain,
% 3.91/4.11 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 3.91/4.11 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4796_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12519,plain,
% 3.91/4.11 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 3.91/4.11 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2580]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2565,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4791_1) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12489,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2565]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2564,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4791_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12487,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2564]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2556,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4788_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12471,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2556]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2554,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Suc,X1),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4787_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12467,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Suc,X1),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2554]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2532,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4782_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12423,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2532]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2526,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4780_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12411,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2526]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2523,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | ~ class_Int_Onumber(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4779_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12405,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.11 | ~ class_Int_Onumber(X0)
% 3.91/4.11 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2523]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2516,plain,
% 3.91/4.11 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4776_2) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12391,plain,
% 3.91/4.11 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2516]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2512,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.91/4.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4775_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12383,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.91/4.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2512]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12384,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.91/4.11 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12383]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2510,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.11 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4774_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12379,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.11 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2510]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12380,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.91/4.11 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12379]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2508,plain,
% 3.91/4.11 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4773_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12375,plain,
% 3.91/4.11 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 3.91/4.11 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2508]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2501,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 3.91/4.11 | X1 = X2 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4770_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12361,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 3.91/4.11 | X1 = X2 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2501]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2499,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 3.91/4.11 | X0 = X2 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4769_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12357,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 3.91/4.11 | X0 = X2 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2499]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2497,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4768_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12353,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2497]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2494,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = X2 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4767_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12347,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 3.91/4.11 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X0 = X2 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2494]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2488,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 3.91/4.11 | X1 = X2
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4765_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12335,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 3.91/4.11 | X1 = X2
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2488]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12336,plain,
% 3.91/4.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 3.91/4.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.11 | X1 = X2 ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12335]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2485,plain,
% 3.91/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4764_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12329,plain,
% 3.91/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2485]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2482,plain,
% 3.91/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4763_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12323,plain,
% 3.91/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2482]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12324,plain,
% 3.91/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12323]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2473,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4760_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12305,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2473]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2455,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4756_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12269,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2455]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2453,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4755_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12265,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2453]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2451,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.11 | c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4754_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12261,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.11 | c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2451]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12262,plain,
% 3.91/4.11 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 3.91/4.11 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12261]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2448,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4753_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12255,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.11 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2448]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2446,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4752_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12251,plain,
% 3.91/4.11 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2446]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2444,plain,
% 3.91/4.11 ( c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4751_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12247,plain,
% 3.91/4.11 ( c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2444]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12248,plain,
% 3.91/4.11 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12247]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2442,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.91/4.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4750_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12243,plain,
% 3.91/4.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.91/4.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2442]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12244,plain,
% 3.91/4.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0)
% 3.91/4.11 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12243]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2440,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Odvd(X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4749_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12239,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Odvd(X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2440]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12240,plain,
% 3.91/4.11 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 3.91/4.11 | ~ class_Ring__and__Field_Odvd(X1) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12239]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2438,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4748_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12235,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2438]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2436,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4747_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12231,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.11 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2436]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2434,plain,
% 3.91/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4746_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12227,plain,
% 3.91/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2434]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2432,plain,
% 3.91/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4745_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12223,plain,
% 3.91/4.11 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.11 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2432]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2430,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_Parity_Osko__Parity__Xeven__mult__two__ex__1__1(X0)) = X0 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4744_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12219,plain,
% 3.91/4.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_Parity_Osko__Parity__Xeven__mult__two__ex__1__1(X0)) = X0 ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2430]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2427,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4743_0) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12213,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2427]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12214,plain,
% 3.91/4.11 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.11 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12213]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2408,plain,
% 3.91/4.11 ( X0 = X1
% 3.91/4.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4736_2) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12175,plain,
% 3.91/4.11 ( X0 = X1
% 3.91/4.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 3.91/4.11 inference(copy,[status(esa)],[c_2408]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_12176,plain,
% 3.91/4.11 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.11 | X0 = X1 ),
% 3.91/4.11 inference(rewriting,[status(thm)],[c_12175]) ).
% 3.91/4.11
% 3.91/4.11 cnf(c_2406,plain,
% 3.91/4.11 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.11 | X1 = X0 ),
% 3.91/4.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4736_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12171,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.12 | X1 = X0 ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2406]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2400,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X1,X0) = X2 ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4734_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12159,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X1,X0) = X2 ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2400]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12160,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 3.91/4.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12159]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2398,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4733_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12155,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2398]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2396,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4732_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12151,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2396]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2393,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 3.91/4.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4731_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12145,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 3.91/4.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2393]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2390,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 3.91/4.12 | X1 = X3 ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4730_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12139,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 3.91/4.12 | X1 = X3 ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2390]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2387,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 3.91/4.12 | X2 = X3 ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4729_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12133,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 3.91/4.12 | X2 = X3 ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2387]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2384,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 3.91/4.12 | X2 = X3 ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4728_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12127,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 3.91/4.12 | X2 = X3 ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2384]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2378,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4726_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12115,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2378]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12116,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12115]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2375,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4725_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12109,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2375]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12110,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12109]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2372,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4724_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12103,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2372]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12104,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12103]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2369,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4723_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12097,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2369]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12098,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12097]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2366,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4722_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12091,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2366]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2363,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4721_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12085,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2363]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2357,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 3.91/4.12 | X1 = X0
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4719_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12073,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 3.91/4.12 | X1 = X0
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2357]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12074,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.12 | X1 = X0 ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12073]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2354,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 3.91/4.12 | X0 = X1
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4718_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12067,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 3.91/4.12 | X0 = X1
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2354]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12068,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.12 | X0 = X1 ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12067]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2352,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4717_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12063,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2352]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12064,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12063]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2350,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4716_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12059,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2350]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12060,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12059]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2336,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 3.91/4.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4713_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12031,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 3.91/4.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2336]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2333,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat)
% 3.91/4.12 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.12 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4712_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12025,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat)
% 3.91/4.12 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.12 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2333]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2330,plain,
% 3.91/4.12 ( ~ class_Orderings_Oorder(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4711_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12019,plain,
% 3.91/4.12 ( ~ class_Orderings_Oorder(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2330]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12020,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.91/4.12 | ~ class_Orderings_Oorder(X2) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12019]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2327,plain,
% 3.91/4.12 ( ~ class_Orderings_Olinorder(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4710_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12013,plain,
% 3.91/4.12 ( ~ class_Orderings_Olinorder(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2327]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12014,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.91/4.12 | ~ class_Orderings_Olinorder(X2) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12013]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2321,plain,
% 3.91/4.12 ( ~ class_Orderings_Opreorder(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4708_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12001,plain,
% 3.91/4.12 ( ~ class_Orderings_Opreorder(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2321]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_12002,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 3.91/4.12 | ~ class_Orderings_Opreorder(X2) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_12001]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2310,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4704_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11979,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2310]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11980,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11979]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2304,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X2,X0)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4702_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11967,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X2,X0)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2304]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2301,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X2,X0)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4701_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11961,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X2,X0)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2301]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2299,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4700_1) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11957,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2299]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2298,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4700_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11955,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2298]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2294,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)
% 3.91/4.12 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.91/4.12 | X1 = X2 ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4699_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11947,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)
% 3.91/4.12 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 3.91/4.12 | X1 = X2 ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2294]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2291,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4698_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11941,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2291]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2288,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4697_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11935,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2288]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2282,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4695_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11923,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2282]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2279,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4694_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11917,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2279]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2277,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X1,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4693_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11913,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X1,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2277]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2275,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oring(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4692_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11909,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oring(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2275]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2273,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X1,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4691_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11905,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X1,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2273]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2271,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oring(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0)) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4690_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11901,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oring(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0)) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2271]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2268,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4689_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11895,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2268]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2265,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4688_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11889,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2265]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11890,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.12 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11889]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2262,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4687_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11883,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2262]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11884,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11883]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2259,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4686_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11877,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2259]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11878,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11877]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2252,plain,
% 3.91/4.12 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.91/4.12 | X2 = X1
% 3.91/4.12 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4684_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11863,plain,
% 3.91/4.12 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.91/4.12 | X2 = X1
% 3.91/4.12 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2252]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11864,plain,
% 3.91/4.12 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 3.91/4.12 | X2 = X1 ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11863]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2250,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4683_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11859,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2250]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2237,plain,
% 3.91/4.12 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4678_2) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11833,plain,
% 3.91/4.12 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2237]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11834,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11833]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2235,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4678_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11829,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2235]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11830,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11829]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2234,plain,
% 3.91/4.12 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4677_2) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11827,plain,
% 3.91/4.12 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2234]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11828,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11827]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2232,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4677_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11823,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2232]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11824,plain,
% 3.91/4.12 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11823]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2229,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4676_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11817,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2229]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11818,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11817]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2217,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4673_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11793,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2217]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11794,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11793]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2213,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4672_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11785,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2213]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11786,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11785]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2210,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4671_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11779,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2210]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11780,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11779]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2204,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4669_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11767,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2204]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2201,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4668_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11761,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2201]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11762,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11761]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2198,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4667_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11755,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2198]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11756,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 3.91/4.12 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11755]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2196,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oring(X0)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0)) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4666_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11751,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oring(X0)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0)) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2196]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2192,plain,
% 3.91/4.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0)) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4664_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11743,plain,
% 3.91/4.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0)) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2192]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2190,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4663_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11739,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2190]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11740,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11739]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2184,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4661_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11727,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2184]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11728,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.12 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11727]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2182,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4660_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11723,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2182]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11724,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11723]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2180,plain,
% 3.91/4.12 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4659_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11719,plain,
% 3.91/4.12 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2180]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2178,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4658_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11715,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2178]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2176,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4657_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11711,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2176]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2152,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4651_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11663,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2152]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11664,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11663]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2150,plain,
% 3.91/4.12 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4650_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11659,plain,
% 3.91/4.12 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2150]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2148,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4649_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11655,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2148]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2145,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4648_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11649,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2145]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2143,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) = X2 ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4647_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11645,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) = X2 ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2143]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2141,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) = X2 ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4646_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11641,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) = X2 ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2141]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2136,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4644_1) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11631,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2136]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11632,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 3.91/4.12 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11631]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2130,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4642_1) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11619,plain,
% 3.91/4.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2130]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11620,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 3.91/4.12 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11619]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2126,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4641_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11611,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2126]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11612,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 3.91/4.12 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11611]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2123,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4640_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11605,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2123]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2121,plain,
% 3.91/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.12 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4639_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11601,plain,
% 3.91/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.12 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2121]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2119,plain,
% 3.91/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.12 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4638_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11597,plain,
% 3.91/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.12 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2119]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2118,plain,
% 3.91/4.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4637_2) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11595,plain,
% 3.91/4.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2118]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2117,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4637_1) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11593,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2117]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2116,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4637_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11591,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2116]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2114,plain,
% 3.91/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.12 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4636_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11587,plain,
% 3.91/4.12 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.12 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2114]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2112,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4635_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11583,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2112]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11584,plain,
% 3.91/4.12 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11583]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2106,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4632_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11571,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2106]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11572,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11571]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2104,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4631_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11567,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2104]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11568,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11567]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2102,plain,
% 3.91/4.12 ( c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4630_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11563,plain,
% 3.91/4.12 ( c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2102]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11564,plain,
% 3.91/4.12 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.12 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11563]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2100,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oring(X0)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4629_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11559,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oring(X0)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2100]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2096,plain,
% 3.91/4.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4627_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11551,plain,
% 3.91/4.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2096]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2094,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),X2) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4626_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11547,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.12 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),X2) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2094]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2089,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4624_1) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11537,plain,
% 3.91/4.12 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2089]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11538,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11537]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2078,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 3.91/4.12 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.12 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4621_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11515,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 3.91/4.12 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.12 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2078]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2075,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X2)
% 3.91/4.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4620_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11509,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X2)
% 3.91/4.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2075]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2073,plain,
% 3.91/4.12 ( ~ class_Orderings_Opreorder(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4619_2) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11505,plain,
% 3.91/4.12 ( ~ class_Orderings_Opreorder(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2073]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11506,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.91/4.12 | ~ class_Orderings_Opreorder(X2) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11505]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2069,plain,
% 3.91/4.12 ( ~ class_Orderings_Oorder(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4618_2) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11497,plain,
% 3.91/4.12 ( ~ class_Orderings_Oorder(X0)
% 3.91/4.12 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2069]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11498,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 3.91/4.12 | ~ class_Orderings_Oorder(X2) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11497]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2065,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4617_2) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11489,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2065]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2064,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4617_1) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11487,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2064]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2063,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4617_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11485,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.12 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2063]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2058,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4615_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11475,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2058]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11476,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11475]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2056,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4614_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11471,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2056]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11472,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11471]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2047,plain,
% 3.91/4.12 ( ~ class_Power_Opower(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4610_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11453,plain,
% 3.91/4.12 ( ~ class_Power_Opower(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2047]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2045,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4609_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11449,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2045]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2043,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),X0,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4608_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11445,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),X0,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2043]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2040,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4607_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11439,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.12 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2040]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2022,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4603_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11403,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2022]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11404,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.12 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 3.91/4.12 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X2,X0)),X1) ),
% 3.91/4.12 inference(rewriting,[status(thm)],[c_11403]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2020,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4602_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11399,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2020]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2018,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4601_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11395,plain,
% 3.91/4.12 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 3.91/4.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2018]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2014,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4599_2) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11387,plain,
% 3.91/4.12 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.91/4.12 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2014]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2010,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0),X0,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4598_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11379,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0),X0,tc_nat) ),
% 3.91/4.12 inference(copy,[status(esa)],[c_2010]) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_2008,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 3.91/4.12 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4597_0) ).
% 3.91/4.12
% 3.91/4.12 cnf(c_11375,plain,
% 3.91/4.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.12 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_2008]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_2005,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4596_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11369,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_2005]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11370,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11369]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_2002,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4595_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11363,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_2002]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11364,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11363]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1997,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4593_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11353,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1997]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1995,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4592_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11349,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1995]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1993,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)) = c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4591_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11345,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)) = c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1993]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1991,plain,
% 3.91/4.13 ( c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.13 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4590_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11341,plain,
% 3.91/4.13 ( c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 3.91/4.13 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1991]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11342,plain,
% 3.91/4.13 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11341]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1988,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4589_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11335,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1988]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11336,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11335]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1986,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4588_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11331,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1986]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1984,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4587_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11327,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1984]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1981,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4586_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11321,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1981]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1979,plain,
% 3.91/4.13 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 3.91/4.13 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4585_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11317,plain,
% 3.91/4.13 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 3.91/4.13 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1979]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1977,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4584_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11313,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1977]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11314,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11313]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1974,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.91/4.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4583_1) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11307,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.91/4.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1974]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1973,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.91/4.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4583_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11305,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 3.91/4.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1973]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1970,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X2,X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4582_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11299,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X2,X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1970]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1967,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4581_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11293,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1967]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11294,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11293]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1964,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4580_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11287,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1964]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11288,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11287]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1961,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4579_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11281,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1961]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11282,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11281]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1958,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4578_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11275,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1958]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11276,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11275]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1956,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)) = X2 ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4577_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11271,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)) = X2 ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1956]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1953,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != X2
% 3.91/4.13 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4576_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11265,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != X2
% 3.91/4.13 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1953]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1945,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4573_3) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11249,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1945]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1944,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4573_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11247,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1944]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1943,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4573_1) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11245,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1943]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1941,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4572_3) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11241,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1941]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1940,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4572_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11239,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1940]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1939,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4572_1) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11237,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1939]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1922,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4568_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11203,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1922]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1920,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4567_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11199,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1920]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1910,plain,
% 3.91/4.13 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 3.91/4.13 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4564_1) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11179,plain,
% 3.91/4.13 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 3.91/4.13 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1910]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11180,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11179]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1896,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4560_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11151,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1896]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1894,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4559_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11147,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1894]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1886,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),X2) = X1
% 3.91/4.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4557_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11131,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),X2) = X1
% 3.91/4.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1886]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1882,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4556_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11123,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1882]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11124,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11123]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1878,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4555_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11115,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1878]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11116,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11115]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1876,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ozero__class_Ozero(X0)),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4554_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11111,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ozero__class_Ozero(X0)),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1876]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1873,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 3.91/4.13 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.91/4.13 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4553_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11105,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 3.91/4.13 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 3.91/4.13 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1873]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1869,plain,
% 3.91/4.13 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X2)
% 3.91/4.13 | X1 = X2 ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4552_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11097,plain,
% 3.91/4.13 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X2)
% 3.91/4.13 | X1 = X2 ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1869]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1865,plain,
% 3.91/4.13 ( ~ class_Int_Onumber(X0)
% 3.91/4.13 | ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4551_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11089,plain,
% 3.91/4.13 ( ~ class_Int_Onumber(X0)
% 3.91/4.13 | ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1865]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1852,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.91/4.13 | hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2)) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4548_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11063,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.91/4.13 | hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2)) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1852]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1848,plain,
% 3.91/4.13 ( ~ class_Int_Onumber(X0)
% 3.91/4.13 | ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4547_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11055,plain,
% 3.91/4.13 ( ~ class_Int_Onumber(X0)
% 3.91/4.13 | ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1848]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11056,plain,
% 3.91/4.13 ( ~ class_Int_Onumber(X0)
% 3.91/4.13 | ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11055]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1845,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.13 | ~ class_Int_Onumber(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4546_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11049,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.13 | ~ class_Int_Onumber(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1845]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1835,plain,
% 3.91/4.13 ( ~ hBOOL(hAPP(X0,X1))
% 3.91/4.13 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4543_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11029,plain,
% 3.91/4.13 ( ~ hBOOL(hAPP(X0,X1))
% 3.91/4.13 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1835]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_11030,plain,
% 3.91/4.13 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 3.91/4.13 | ~ hBOOL(hAPP(X0,X1)) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_11029]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1817,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | ~ class_Int_Onumber__ring(X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4539_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10993,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | ~ class_Int_Onumber__ring(X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1817]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10994,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 3.91/4.13 | ~ class_Int_Onumber__ring(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10993]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1815,plain,
% 3.91/4.13 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.13 | c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4538_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10989,plain,
% 3.91/4.13 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 3.91/4.13 | c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1815]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10990,plain,
% 3.91/4.13 ( c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat)
% 3.91/4.13 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10989]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1814,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4537_3) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10987,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1814]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1813,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4537_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10985,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1813]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1811,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4537_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10981,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1811]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1810,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4536_3) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10979,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1810]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1809,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4536_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10977,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1809]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1808,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4536_1) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10975,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1808]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1807,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4536_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10973,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1807]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1804,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4535_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10967,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1804]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1801,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4534_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10961,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1801]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1798,plain,
% 3.91/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4533_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10955,plain,
% 3.91/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1798]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1796,plain,
% 3.91/4.13 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat))
% 3.91/4.13 | hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4532_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10951,plain,
% 3.91/4.13 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat))
% 3.91/4.13 | hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1796]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10952,plain,
% 3.91/4.13 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 3.91/4.13 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10951]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1789,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4530_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10937,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1789]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10938,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10937]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1787,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4529_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10933,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1787]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1785,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4528_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10929,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1785]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1783,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4527_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10925,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1783]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1781,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4526_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10921,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1781]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1779,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4525_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10917,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1779]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1777,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4524_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10913,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1777]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1775,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4523_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10909,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1775]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1773,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4522_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10905,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1773]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10906,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10905]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1771,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4521_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10901,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1771]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10902,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10901]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1769,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4520_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10897,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1769]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10898,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10897]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1767,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4519_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10893,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1767]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1760,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4516_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10879,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1760]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1726,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4507_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10811,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1726]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1721,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4505_4) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10801,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1721]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1720,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4505_3) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10799,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1720]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1719,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4505_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10797,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1719]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1713,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 3.91/4.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4504_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10785,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 3.91/4.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1713]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1709,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 3.91/4.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4503_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10777,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.13 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 3.91/4.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1709]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1707,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4502_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10773,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1707]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1703,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4501_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10765,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1703]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1701,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4500_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10761,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1701]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1698,plain,
% 3.91/4.13 ( ~ class_Divides_Oring__div(X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4499_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10755,plain,
% 3.91/4.13 ( ~ class_Divides_Oring__div(X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1698]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10756,plain,
% 3.91/4.13 ( ~ class_Divides_Oring__div(X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10755]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1696,plain,
% 3.91/4.13 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),X3) = X0 ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4498_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10751,plain,
% 3.91/4.13 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),X3) = X0 ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1696]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1683,plain,
% 3.91/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4495_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10725,plain,
% 3.91/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1683]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10726,plain,
% 3.91/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10725]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1685,plain,
% 3.91/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4495_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10729,plain,
% 3.91/4.13 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1685]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1681,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4494_1) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10721,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1681]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1680,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4494_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10719,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1680]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1678,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2),X0) = c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4493_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10715,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.13 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2),X0) = c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1678]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1676,plain,
% 3.91/4.13 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_HOL_Oone__class_Oone(tc_nat)) = X3 ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4492_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10711,plain,
% 3.91/4.13 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.13 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_HOL_Oone__class_Oone(tc_nat)) = X3 ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1676]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1670,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4490_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10699,plain,
% 3.91/4.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 3.91/4.13 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1670]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1659,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4487_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10677,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1659]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10678,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.91/4.13 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10677]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1656,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4486_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10671,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1656]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10672,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.91/4.13 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10671]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1653,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4485_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10665,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1653]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10666,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.91/4.13 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10665]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1650,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4484_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10659,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1650]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10660,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.91/4.13 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10659]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1647,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4483_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10653,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1647]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10654,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10653]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1644,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4482_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10647,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1644]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10648,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10647]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1641,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4481_0) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10641,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1641]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10642,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10641]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1628,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4477_4) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10615,plain,
% 3.91/4.13 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1628]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1627,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4477_3) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10613,plain,
% 3.91/4.13 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 3.91/4.13 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.13 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1627]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1622,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4476_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10603,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1622]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10604,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.91/4.13 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10603]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1618,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4475_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10595,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1618]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10596,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 3.91/4.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10595]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1614,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.13 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4474_2) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10587,plain,
% 3.91/4.13 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.13 inference(copy,[status(esa)],[c_1614]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_10588,plain,
% 3.91/4.13 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 3.91/4.13 inference(rewriting,[status(thm)],[c_10587]) ).
% 3.91/4.13
% 3.91/4.13 cnf(c_1600,plain,
% 3.91/4.13 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.13 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4471_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10559,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1600]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10560,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10559]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1604,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4472_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10567,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1604]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10568,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10567]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1598,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4470_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10555,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1598]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10556,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10555]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1594,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4469_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10547,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1594]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10548,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10547]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1590,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4468_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10539,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1590]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1580,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4465_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10519,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1580]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10520,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10519]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1576,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4464_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10511,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1576]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10512,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10511]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1557,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4460_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10473,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1557]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10474,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10473]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1552,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4459_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10463,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1552]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10464,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10463]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1548,plain,
% 3.91/4.14 ( ~ class_Divides_Oring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4458_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10455,plain,
% 3.91/4.14 ( ~ class_Divides_Oring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1548]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1546,plain,
% 3.91/4.14 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4457_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10451,plain,
% 3.91/4.14 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1546]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1543,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4456_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10445,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1543]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1538,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ class_Int_Onumber__ring(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4455_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10435,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ class_Int_Onumber__ring(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1538]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10436,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ class_Int_Onumber__ring(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10435]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1536,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4454_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10431,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1536]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1509,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4448_1) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10377,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1509]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10378,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10377]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1477,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4441_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10313,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1477]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1472,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4440_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10303,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1472]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1469,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4439_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10297,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1469]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1463,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4437_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10285,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1463]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10286,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10285]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1461,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4437_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10281,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1461]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10282,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10281]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1446,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4432_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10251,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1446]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10252,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10251]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1443,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4431_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10245,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1443]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10246,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10245]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1441,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4430_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10241,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1441]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1439,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4429_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10237,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1439]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1435,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4428_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10229,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1435]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10230,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10229]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1433,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.91/4.14 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4427_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10225,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 3.91/4.14 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1433]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1431,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4426_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10221,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1431]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1429,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4425_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10217,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1429]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10218,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10217]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1427,plain,
% 3.91/4.14 ( c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4424_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10213,plain,
% 3.91/4.14 ( c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1427]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10214,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10213]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1425,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4423_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10209,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1425]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1419,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4420_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10197,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1419]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1417,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4419_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10193,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1417]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1411,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4416_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10181,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1411]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1409,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4415_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10177,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1409]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1407,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4414_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10173,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1407]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1405,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1)) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4413_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10169,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1)) = c_HOL_Oone__class_Oone(X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1405]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1403,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4412_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10165,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1403]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1401,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4411_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10161,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1401]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1399,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4410_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10157,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1399]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1389,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4407_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10137,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1389]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1387,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4406_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10133,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1387]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1385,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4405_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10129,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1385]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1383,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4404_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10125,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1383]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1381,plain,
% 3.91/4.14 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 3.91/4.14 | hBOOL(hAPP(X0,X1)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4403_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10121,plain,
% 3.91/4.14 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 3.91/4.14 | hBOOL(hAPP(X0,X1)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1381]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1378,plain,
% 3.91/4.14 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.14 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4402_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10115,plain,
% 3.91/4.14 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 3.91/4.14 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1378]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1376,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4401_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10111,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1376]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1374,plain,
% 3.91/4.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(X1,X3),X3) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4400_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10107,plain,
% 3.91/4.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(X1,X3),X3) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1374]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1373,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4399_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10105,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1373]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1368,plain,
% 3.91/4.14 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3))
% 3.91/4.14 | X2 = X3
% 3.91/4.14 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4398_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10095,plain,
% 3.91/4.14 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3))
% 3.91/4.14 | X2 = X3
% 3.91/4.14 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1368]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10096,plain,
% 3.91/4.14 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3))
% 3.91/4.14 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.14 | X2 = X3 ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10095]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1365,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.91/4.14 | hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)),X2) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4397_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10089,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 3.91/4.14 | hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)),X2) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1365]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1352,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4394_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10063,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1352]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1350,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4393_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10059,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1350]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10060,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 3.91/4.14 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10059]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1346,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4392_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10051,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1346]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1342,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4391_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10043,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1342]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1330,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4388_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10019,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1330]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_10020,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_10019]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1305,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4382_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9969,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1305]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9970,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9969]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1301,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4381_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9961,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1301]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9962,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9961]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1289,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4378_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9937,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1289]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9938,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9937]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1285,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4377_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9929,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1285]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9930,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9929]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1279,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4375_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9917,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1279]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9918,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9917]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1275,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4374_2) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9909,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1275]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9910,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9909]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1253,plain,
% 3.91/4.14 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat)
% 3.91/4.14 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4369_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9865,plain,
% 3.91/4.14 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat)
% 3.91/4.14 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1253]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1251,plain,
% 3.91/4.14 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4368_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9861,plain,
% 3.91/4.14 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1251]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1249,plain,
% 3.91/4.14 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(X1,X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4367_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9857,plain,
% 3.91/4.14 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(X1,X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1249]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1246,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4366_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9851,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1246]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1223,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4361_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9805,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1223]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9806,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9805]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1219,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.91/4.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4360_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9797,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 3.91/4.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1219]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1215,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4359_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9789,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oidom(X0)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 3.91/4.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1215]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1213,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4358_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9785,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1213]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1211,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X1),tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4357_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9781,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X1),tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1211]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9782,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X2),tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9781]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1209,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4356_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9777,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1209]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1183,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4351_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9725,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1183]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1181,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4350_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9721,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1181]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1175,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4348_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9709,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.14 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1175]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1172,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4347_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9703,plain,
% 3.91/4.14 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 3.91/4.14 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1172]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1149,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4341_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9657,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1149]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1145,plain,
% 3.91/4.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4339_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9649,plain,
% 3.91/4.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1145]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1143,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4338_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9645,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1143]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1141,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4337_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9641,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1141]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1091,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4326_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9541,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1091]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1089,plain,
% 3.91/4.14 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4))
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4325_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9537,plain,
% 3.91/4.14 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4))
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1089]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1087,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4324_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9533,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1087]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1083,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4322_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9525,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1083]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1081,plain,
% 3.91/4.14 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0)) = c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4321_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9521,plain,
% 3.91/4.14 ( ~ class_RealVector_Oreal__normed__field(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0)) = c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1081]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1079,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0)) = c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4320_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9517,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0)) = c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1079]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1068,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2)
% 3.91/4.14 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4317_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9495,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2)
% 3.91/4.14 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1068]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1065,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4316_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9489,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1065]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1061,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oinverse__class_Odivide(X1,X3,X0))
% 3.91/4.14 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4315_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9481,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oinverse__class_Odivide(X1,X3,X0))
% 3.91/4.14 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1061]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1054,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4313_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9467,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1054]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_1035,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4308_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9429,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_1035]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9430,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9429]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_985,plain,
% 3.91/4.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X3),X3)),X3) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4299_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9329,plain,
% 3.91/4.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X3),X3)),X3) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_985]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_982,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4298_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9323,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_982]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_979,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4297_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9317,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_979]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_961,plain,
% 3.91/4.14 ( c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4294_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9281,plain,
% 3.91/4.14 ( c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_961]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9282,plain,
% 3.91/4.14 ( c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9281]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_959,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)),X1) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4293_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9277,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)),X1) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_959]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_957,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4292_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9273,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_957]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_955,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4291_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9269,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_955]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_949,plain,
% 3.91/4.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4288_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9257,plain,
% 3.91/4.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_949]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_947,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4287_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9253,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_947]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_945,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4286_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9249,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_945]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_943,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4285_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9245,plain,
% 3.91/4.14 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.14 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_943]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_940,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),c_HOL_Oinverse__class_Odivide(X2,X4,X0)) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4284_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9239,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),c_HOL_Oinverse__class_Odivide(X2,X4,X0)) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_940]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_936,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2)
% 3.91/4.14 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4283_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9231,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.14 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2)
% 3.91/4.14 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_936]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_932,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 3.91/4.14 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4282_0) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9223,plain,
% 3.91/4.14 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 3.91/4.14 inference(copy,[status(esa)],[c_932]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_9224,plain,
% 3.91/4.14 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.14 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.14 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 3.91/4.14 inference(rewriting,[status(thm)],[c_9223]) ).
% 3.91/4.14
% 3.91/4.14 cnf(c_930,plain,
% 3.91/4.14 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 3.91/4.14 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4281_2) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9219,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_930]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_926,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4280_2) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9211,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_926]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_912,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.15 | ~ class_Int_Onumber(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.91/4.15 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4278_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9183,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.15 | ~ class_Int_Onumber(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 3.91/4.15 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_912]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9184,plain,
% 3.91/4.15 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 3.91/4.15 | ~ class_Int_Onumber(X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_9183]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_910,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4277_2) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9179,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_910]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9180,plain,
% 3.91/4.15 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_9179]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_906,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4276_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9171,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_906]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_880,plain,
% 3.91/4.15 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X2),tc_nat)
% 3.91/4.15 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4271_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9119,plain,
% 3.91/4.15 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X2),tc_nat)
% 3.91/4.15 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_880]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_856,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4266_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9071,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_856]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_854,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4265_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9067,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_854]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_852,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4264_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9063,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_852]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_850,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4263_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9059,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_850]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_848,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4262_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9055,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_848]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_826,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1))) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4257_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9011,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1))) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_826]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_823,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.15 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0),X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4256_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9005,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.15 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0),X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_823]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9006,plain,
% 3.91/4.15 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)),X1),X1)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 3.91/4.15 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_9005]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_820,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.15 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0),X2,X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4255_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8999,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.15 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0),X2,X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_820]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_9000,plain,
% 3.91/4.15 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0),X2,X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_8999]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_788,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4249_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8935,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_788]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_784,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4247_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8927,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_784]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_758,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X2,X0)),X1) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4242_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8875,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X2,X0)),X1) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_758]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_707,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.91/4.15 | ~ class_Int_Onumber(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4233_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8773,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.91/4.15 | ~ class_Int_Onumber(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_707]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_676,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.91/4.15 | ~ class_Int_Onumber(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4228_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8711,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.91/4.15 | ~ class_Int_Onumber(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_676]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_674,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4227_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8707,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_674]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_672,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4226_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8703,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_672]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_670,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4225_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8699,plain,
% 3.91/4.15 ( ~ class_Divides_Osemiring__div(X0)
% 3.91/4.15 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_670]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_668,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4224_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8695,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_668]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_649,plain,
% 3.91/4.15 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 3.91/4.15 | X0 = X2
% 3.91/4.15 | X1 = X3 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4220_1) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8657,plain,
% 3.91/4.15 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 3.91/4.15 | X0 = X2
% 3.91/4.15 | X1 = X3 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_649]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_648,plain,
% 3.91/4.15 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 3.91/4.15 | X1 = X3
% 3.91/4.15 | X0 = X2 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4220_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8655,plain,
% 3.91/4.15 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 3.91/4.15 | X1 = X3
% 3.91/4.15 | X0 = X2 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_648]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_631,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4217_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8621,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_631]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_628,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4216_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8615,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) != c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_628]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_625,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 3.91/4.15 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4215_1) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8609,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 3.91/4.15 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_625]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_624,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4215_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8607,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_624]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_584,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4208_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8527,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_584]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8528,plain,
% 3.91/4.15 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_8527]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_581,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.15 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X4,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0))
% 3.91/4.15 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4207_1) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8521,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.15 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X4,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0))
% 3.91/4.15 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_581]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_580,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.15 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X4,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0))
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4207_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8519,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.15 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X4,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0))
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_580]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_578,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4206_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8515,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_578]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_575,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_HOL_Oinverse__class_Oinverse(X1,X0))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 3.91/4.15 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4205_1) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8509,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_HOL_Oinverse__class_Oinverse(X1,X0))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 3.91/4.15 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_575]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_574,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_HOL_Oinverse__class_Oinverse(X1,X0))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4205_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8507,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ofield(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_HOL_Oinverse__class_Oinverse(X1,X0))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 3.91/4.15 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 3.91/4.15 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_574]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_566,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4202_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8491,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_566]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_564,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X3) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,X4)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4201_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8487,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X3) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,X4)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_564]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_561,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.15 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4200_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8481,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.15 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_561]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8482,plain,
% 3.91/4.15 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_8481]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_559,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4199_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8477,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_559]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8478,plain,
% 3.91/4.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_8477]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_557,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4198_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8473,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,X2)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_557]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_554,plain,
% 3.91/4.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.91/4.15 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Divides_Odiv__class_Omod(X3,X2,tc_nat))),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4197_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8467,plain,
% 3.91/4.15 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.91/4.15 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Divides_Odiv__class_Omod(X3,X2,tc_nat))),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_554]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8468,plain,
% 3.91/4.15 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Omod(X1,X2,tc_nat))),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_8467]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_552,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X3) = hAPP(hAPP(X1,X3),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4196_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8463,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X3) = hAPP(hAPP(X1,X3),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_552]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_550,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X5) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X4),X5)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4195_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8459,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X5) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X4),X5)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_550]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_548,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4194_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8455,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Osemiring(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_548]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_546,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4193_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8451,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_546]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_544,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4192_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8447,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_544]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_542,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4191_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8443,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_542]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_540,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X5)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X5)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4190_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8439,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X5)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X5)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_540]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_538,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4189_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8435,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_538]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8436,plain,
% 3.91/4.15 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),c_HOL_Ozero__class_Ozero(X0),X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_8435]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_536,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4188_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8431,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_536]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_534,plain,
% 3.91/4.15 ( ~ c_Ring__and__Field_Osemiring__1(X0,X1,X2,X3,X4)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X4),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X0 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4187_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8427,plain,
% 3.91/4.15 ( ~ c_Ring__and__Field_Osemiring__1(X0,X1,X2,X3,X4)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X4),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X0 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_534]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_532,plain,
% 3.91/4.15 ( ~ c_Ring__and__Field_Osemiring__1(X0,X1,X2,X3,X4)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X4),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X2 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4186_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8423,plain,
% 3.91/4.15 ( ~ c_Ring__and__Field_Osemiring__1(X0,X1,X2,X3,X4)
% 3.91/4.15 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X4),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X2 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_532]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_530,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X3)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4185_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8419,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X3)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_530]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_528,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4184_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8415,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 3.91/4.15 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_528]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8416,plain,
% 3.91/4.15 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_8415]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_526,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X3),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4183_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8411,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X3),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_526]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_520,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(X1,X3),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4))) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4181_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8399,plain,
% 3.91/4.15 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 3.91/4.15 | hAPP(hAPP(X1,X3),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4))) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_520]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_518,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4180_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8395,plain,
% 3.91/4.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_518]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_516,plain,
% 3.91/4.15 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)),X1)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4179_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8391,plain,
% 3.91/4.15 ( ~ class_Int_Onumber__ring(X0)
% 3.91/4.15 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)),X1)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_516]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_514,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4178_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8387,plain,
% 3.91/4.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 3.91/4.15 | c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_514]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8388,plain,
% 3.91/4.15 ( c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 3.91/4.15 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 3.91/4.15 inference(rewriting,[status(thm)],[c_8387]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_506,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4174_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8371,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_506]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_504,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4173_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8367,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_504]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_502,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4172_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8363,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_502]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_500,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4171_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8359,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_500]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_498,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4170_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8355,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_498]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_496,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4169_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8351,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_496]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_494,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X2,X6),c_HOL_Oone__class_Oone(tc_nat)) = X6 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4168_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8347,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X2,X6),c_HOL_Oone__class_Oone(tc_nat)) = X6 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_494]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_492,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4167_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8343,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 3.91/4.15 inference(copy,[status(esa)],[c_492]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_486,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4164_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8331,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_486]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_484,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4163_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8327,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_484]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_482,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),X6) = hAPP(hAPP(X2,X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4162_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8323,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),X6) = hAPP(hAPP(X2,X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_482]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_476,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4159_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8311,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_476]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_474,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4158_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8307,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_474]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_472,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4157_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8303,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_472]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_470,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4156_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8299,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_470]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_468,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4155_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8295,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_468]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_460,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4151_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8279,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_460]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_456,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4149_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8271,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_456]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_454,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4148_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8267,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_454]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_452,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X7),X8)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4147_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8263,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X7),X8)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_452]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_450,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4146_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8259,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_450]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_448,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4145_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8255,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_448]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_446,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4144_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8251,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_446]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_444,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4143_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8247,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_444]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_442,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X8)) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X7),X8)) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4142_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8243,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X8)) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X7),X8)) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_442]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_440,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 3.91/4.15 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4141_0) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_8239,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.15 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 3.91/4.15 inference(copy,[status(esa)],[c_440]) ).
% 3.91/4.15
% 3.91/4.15 cnf(c_436,plain,
% 3.91/4.15 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4139_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8231,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_436]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_434,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),hAPP(hAPP(X0,X8),X9)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),hAPP(hAPP(X0,X7),X9)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4138_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8227,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),hAPP(hAPP(X0,X8),X9)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),hAPP(hAPP(X0,X7),X9)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_434]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_432,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X8),X9))) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4137_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8223,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X8),X9))) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_432]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_430,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),hAPP(hAPP(X1,X7),X9)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4136_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8219,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),hAPP(hAPP(X1,X7),X9)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_430]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_428,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X7)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4135_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8215,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X7)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_428]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_426,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X8),hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X9)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4134_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8211,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X8),hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X9)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_426]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_424,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X7))) = hAPP(hAPP(X2,X6),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7))) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4133_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8207,plain,
% 3.91/4.16 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 3.91/4.16 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X7))) = hAPP(hAPP(X2,X6),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7))) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_424]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_422,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X1),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4132_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8203,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X1),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_422]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8204,plain,
% 3.91/4.16 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__semidom(X3,X1,X2,X4,X5,X0,X6) ),
% 3.91/4.16 inference(rewriting,[status(thm)],[c_8203]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_420,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X1),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4131_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8199,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X1),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_420]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8200,plain,
% 3.91/4.16 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__semidom(X3,X1,X2,X4,X0,X5,X6) ),
% 3.91/4.16 inference(rewriting,[status(thm)],[c_8199]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_418,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__semidom(X3,X2,X1,X4,X0,X5,X6) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4130_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8195,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__semidom(X3,X2,X1,X4,X0,X5,X6) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_418]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_416,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__semidom(X3,X2,X1,X4,X5,X0,X6) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4129_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8191,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__semidom(X3,X2,X1,X4,X5,X0,X6) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_416]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_414,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X1),hAPP(hAPP(X0,X2),X2))) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4128_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8187,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X1),hAPP(hAPP(X0,X2),X2))) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_414]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8188,plain,
% 3.91/4.16 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X3)))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__semidom(X2,X1,X3,X4,X5,X0,X6) ),
% 3.91/4.16 inference(rewriting,[status(thm)],[c_8187]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_412,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X7),hAPP(hAPP(X0,X7),X2))) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4127_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8183,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X7),hAPP(hAPP(X0,X7),X2))) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_412]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8184,plain,
% 3.91/4.16 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__semidom(X2,X4,X3,X5,X6,X0,X7) ),
% 3.91/4.16 inference(rewriting,[status(thm)],[c_8183]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_402,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7)) = X0 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4124_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8163,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7)) = X0 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_402]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_400,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X7)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4123_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8159,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X7)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_400]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_398,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X0)),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7))) = hAPP(X3,X0) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4122_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8155,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X0)),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7))) = hAPP(X3,X0) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_398]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_392,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X7)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X8)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),X7),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X8)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4120_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8143,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X7)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X8)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),X7),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X8)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_392]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_320,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 3.91/4.16 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 3.91/4.16 | c_HOL_Oord__class_Oless(X5,X6,tc_nat) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4102_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7999,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 3.91/4.16 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 3.91/4.16 | c_HOL_Oord__class_Oless(X5,X6,tc_nat) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_320]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_298,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(X9,X2) = X2 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4096_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7955,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(X9,X2) = X2 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_298]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_296,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(X9,hAPP(X9,X11)) = hAPP(X9,X11) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4095_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7951,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(X9,hAPP(X9,X11)) = hAPP(X9,X11) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_296]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_294,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(X2,X3),X4,X5,X6,X7,X8,X9,X2,X10)
% 3.91/4.16 | hAPP(X2,X3) = X3 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4094_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7947,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(X2,X3),X4,X5,X6,X7,X8,X9,X2,X10)
% 3.91/4.16 | hAPP(X2,X3) = X3 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_294]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_292,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(X6,X11) = hAPP(hAPP(X8,X11),hAPP(X9,X11)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4093_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7943,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(X6,X11) = hAPP(hAPP(X8,X11),hAPP(X9,X11)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_292]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_290,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X6,X11)) = X11 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4092_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7939,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X6,X11)) = X11 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_290]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_288,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,hAPP(X7,X8),X9,X7,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X8)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4091_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7935,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,hAPP(X7,X8),X9,X7,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X8)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_288]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_277,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X11)) = hAPP(hAPP(X8,X11),X11) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4087_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7913,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X11)) = hAPP(hAPP(X8,X11),X11) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_277]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_273,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X12),X11))
% 3.91/4.16 | X12 = X11 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4086_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7905,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X12),X11))
% 3.91/4.16 | X12 = X11 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_273]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_271,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X12)) = hAPP(X6,hAPP(hAPP(X8,X11),X12)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4085_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7901,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X12)) = hAPP(X6,hAPP(hAPP(X8,X11),X12)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_271]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_269,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X9,X12)) = hAPP(X9,hAPP(hAPP(X8,X11),X12)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4084_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7897,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X9,X12)) = hAPP(X9,hAPP(hAPP(X8,X11),X12)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_269]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_261,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X2 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4081_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7881,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X2 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_261]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_252,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4078_1) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7863,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_252]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_251,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4078_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7861,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_251]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_248,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4077_1) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7855,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_248]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_247,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4077_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7853,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_247]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_244,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4076_1) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7847,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_244]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_243,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4076_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7845,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_243]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_240,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4075_1) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7839,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_240]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_239,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4075_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7837,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_239]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_188,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X12),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4062_1) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7735,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X12),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_188]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_187,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X12),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4062_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7733,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X12),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_187]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_184,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4061_1) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7727,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_184]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_183,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4061_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7725,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_183]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_180,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X12),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4060_1) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7719,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X12),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_180]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_179,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X12),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4060_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7717,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X12),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_179]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_176,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4059_1) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7711,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_176]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_175,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4059_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7709,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_175]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_109,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4042_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7577,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_109]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_91,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12) = hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),X12)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4037_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7541,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12) = hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),X12)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_91]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_57,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4028_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7473,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_57]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_55,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X1,X11)),X12)) = hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),X12)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4027_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7469,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X1,X11)),X12)) = hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),X12)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_55]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_53,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X6,X7,X8,X9,X2,X3,X10,X4)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X5 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4026_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7465,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X6,X7,X8,X9,X2,X3,X10,X4)
% 3.91/4.16 | hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X5 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_53]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_51,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4025_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7461,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_51]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_48,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.91/4.16 | X11 = X2 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4024_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7455,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.91/4.16 | X11 = X2 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_48]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_46,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12))) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4023_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7451,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12))) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_46]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_43,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12)))
% 3.91/4.16 | X11 = X2 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4022_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7445,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12)))
% 3.91/4.16 | X11 = X2 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_43]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_41,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4021_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7441,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_41]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_39,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X2 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4020_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7437,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X2 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_39]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_37,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X1,X7,X8,X0,X9,X2,X3,X10,X4) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4019_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7433,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X1,X7,X8,X0,X9,X2,X3,X10,X4) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_37]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7434,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | ~ hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))) ),
% 3.91/4.16 inference(rewriting,[status(thm)],[c_7433]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_32,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X12)))) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4017_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7423,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X12)))) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_32]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_30,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X5))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X9,X0,X10,X1,X2,X11,X3) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4016_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7419,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X5))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X9,X0,X10,X1,X2,X11,X3) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_30]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7420,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X2)) ),
% 3.91/4.16 inference(rewriting,[status(thm)],[c_7419]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_22,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4013_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7403,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_22]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_19,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 3.91/4.16 | X11 = X2 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4012_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7397,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 3.91/4.16 | X11 = X2 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_19]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_16,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 3.91/4.16 | X12 = X2 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4011_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7391,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 3.91/4.16 | X12 = X2 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_16]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_14,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X2,X8,X9,X10,X3,X4,X11,X5)
% 3.91/4.16 | hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X6 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4010_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7387,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X2,X8,X9,X10,X3,X4,X11,X5)
% 3.91/4.16 | hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X6 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_14]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_12,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X2,X8,X9,X10,X3,X4,X11,X5)
% 3.91/4.16 | hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X7 ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4009_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7383,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X2,X8,X9,X10,X3,X4,X11,X5)
% 3.91/4.16 | hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X7 ),
% 3.91/4.16 inference(copy,[status(esa)],[c_12]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_10,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X2,X8,X0,X9,X3,X4,X10,X5) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4008_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7379,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X2,X8,X0,X9,X3,X4,X10,X5) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_10]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7380,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | ~ hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))) ),
% 3.91/4.16 inference(rewriting,[status(thm)],[c_7379]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_8,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X2)) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4007_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7375,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X2)) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_8]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_6,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X7))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X10,X0,X11,X2,X3,X12,X4) ),
% 3.91/4.16 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4006_0) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7371,plain,
% 3.91/4.16 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X7))
% 3.91/4.16 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X10,X0,X11,X2,X3,X12,X4) ),
% 3.91/4.16 inference(copy,[status(esa)],[c_6]) ).
% 3.91/4.16
% 3.91/4.16 cnf(c_7372,plain,
% 3.91/4.16 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 3.91/4.16 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X2)) ),
% 3.91/4.16 inference(rewriting,[status(thm)],[c_7371]) ).
% 3.91/4.16
% 3.91/4.16
% 3.91/4.16
% 3.91/4.16 % ------ Statistics
% 3.91/4.16
% 3.91/4.16 % ------ General
% 3.91/4.16
% 3.91/4.16 % num_of_input_clauses: 3362
% 3.91/4.16 % num_of_input_neg_conjectures: 1
% 3.91/4.16 % num_of_splits: 0
% 3.91/4.16 % num_of_split_atoms: 0
% 3.91/4.16 % num_of_sem_filtered_clauses: 0
% 3.91/4.16 % num_of_subtypes: 0
% 3.91/4.16 % monotx_restored_types: 0
% 3.91/4.16 % sat_num_of_epr_types: 0
% 3.91/4.16 % sat_num_of_non_cyclic_types: 0
% 3.91/4.16 % sat_guarded_non_collapsed_types: 0
% 3.91/4.16 % is_epr: 0
% 3.91/4.16 % is_horn: 0
% 3.91/4.16 % has_eq: 1
% 3.91/4.16 % num_pure_diseq_elim: 0
% 3.91/4.16 % simp_replaced_by: 0
% 3.91/4.16 % res_preprocessed: 2
% 3.91/4.16 % prep_upred: 0
% 3.91/4.16 % prep_unflattend: 0
% 3.91/4.16 % pred_elim_cands: 0
% 3.91/4.16 % pred_elim: 0
% 3.91/4.16 % pred_elim_cl: 0
% 3.91/4.16 % pred_elim_cycles: 0
% 3.91/4.16 % forced_gc_time: 0
% 3.91/4.16 % gc_basic_clause_elim: 0
% 3.91/4.16 % parsing_time: 0.141
% 3.91/4.16 % sem_filter_time: 0.
% 3.91/4.16 % pred_elim_time: 0.
% 3.91/4.16 % out_proof_time: 0.
% 3.91/4.16 % monotx_time: 0.
% 3.91/4.16 % subtype_inf_time: 0.
% 3.91/4.16 % unif_index_cands_time: 0.
% 3.91/4.16 % unif_index_add_time: 0.002
% 3.91/4.16 % total_time: 3.486
% 3.91/4.16 % num_of_symbols: 124
% 3.91/4.16 % num_of_terms: 8430
% 3.91/4.16
% 3.91/4.16 % ------ Propositional Solver
% 3.91/4.16
% 3.91/4.16 % prop_solver_calls: 1
% 3.91/4.16 % prop_fast_solver_calls: 3
% 3.91/4.16 % prop_num_of_clauses: 2558
% 3.91/4.16 % prop_preprocess_simplified: 10564
% 3.91/4.16 % prop_fo_subsumed: 0
% 3.91/4.16 % prop_solver_time: 0.
% 3.91/4.16 % prop_fast_solver_time: 0.
% 3.91/4.16 % prop_unsat_core_time: 0.
% 3.91/4.16
% 3.91/4.16 % ------ QBF
% 3.91/4.16
% 3.91/4.16 % qbf_q_res: 0
% 3.91/4.16 % qbf_num_tautologies: 0
% 3.91/4.16 % qbf_prep_cycles: 0
% 3.91/4.16
% 3.91/4.16 % ------ BMC1
% 3.91/4.16
% 3.91/4.16 % bmc1_current_bound: -1
% 3.91/4.16 % bmc1_last_solved_bound: -1
% 3.91/4.16 % bmc1_unsat_core_size: -1
% 3.91/4.16 % bmc1_unsat_core_parents_size: -1
% 3.91/4.16 % bmc1_merge_next_fun: 0
% 3.91/4.16 % bmc1_unsat_core_clauses_time: 0.
% 3.91/4.16
% 3.91/4.16 % ------ Instantiation
% 3.91/4.16
% 3.91/4.16 % inst_num_of_clauses: 3098
% 3.91/4.16 % inst_num_in_passive: 0
% 3.91/4.16 % inst_num_in_active: 0
% 3.91/4.16 % inst_num_in_unprocessed: 3362
% 3.91/4.16 % inst_num_of_loops: 0
% 3.91/4.16 % inst_num_of_learning_restarts: 0
% 3.91/4.16 % inst_num_moves_active_passive: 0
% 3.91/4.16 % inst_lit_activity: 0
% 3.91/4.16 % inst_lit_activity_moves: 0
% 3.91/4.16 % inst_num_tautologies: 0
% 3.91/4.16 % inst_num_prop_implied: 0
% 3.91/4.16 % inst_num_existing_simplified: 0
% 3.91/4.16 % inst_num_eq_res_simplified: 0
% 3.91/4.16 % inst_num_child_elim: 0
% 3.91/4.16 % inst_num_of_dismatching_blockings: 0
% 3.91/4.16 % inst_num_of_non_proper_insts: 0
% 3.91/4.16 % inst_num_of_duplicates: 0
% 3.91/4.16 % inst_inst_num_from_inst_to_res: 0
% 3.91/4.16 % inst_dismatching_checking_time: 0.
% 3.91/4.16
% 3.91/4.16 % ------ Resolution
% 3.91/4.16
% 3.91/4.16 % res_num_of_clauses: 3482
% 3.91/4.16 % res_num_in_passive: 0
% 3.91/4.16 % res_num_in_active: 1215
% 3.91/4.16 % res_num_of_loops: 2
% 3.91/4.16 % res_forward_subset_subsumed: 2074
% 3.91/4.16 % res_backward_subset_subsumed: 10
% 3.91/4.16 % res_forward_subsumed: 0
% 3.91/4.16 % res_backward_subsumed: 0
% 3.91/4.16 % res_forward_subsumption_resolution: 0
% 3.91/4.16 % res_backward_subsumption_resolution: 0
% 3.91/4.16 % res_clause_to_clause_subsumption: 0
% 3.91/4.16 % res_orphan_elimination: 0
% 3.91/4.16 % res_tautology_del: 0
% 3.91/4.16 % res_num_eq_res_simplified: 0
% 3.91/4.16 % res_num_sel_changes: 0
% 3.91/4.16 % res_moves_from_active_to_pass: 0
% 3.91/4.16
% 3.91/4.17 % Status Unknown
% 4.03/4.47 % Orienting using strategy ClausalAll
% 4.03/4.47 % Orientation found
% 4.03/4.47 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_bc7df7.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_ae5758 | grep -v "SZS"
% 4.35/4.49
% 4.35/4.49 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 4.35/4.49
% 4.35/4.49 %
% 4.35/4.49 % ------ iProver source info
% 4.35/4.49
% 4.35/4.49 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 4.35/4.49 % git: non_committed_changes: true
% 4.35/4.49 % git: last_make_outside_of_git: true
% 4.35/4.49
% 4.35/4.49 %
% 4.35/4.49 % ------ Input Options
% 4.35/4.49
% 4.35/4.49 % --out_options all
% 4.35/4.49 % --tptp_safe_out true
% 4.35/4.49 % --problem_path ""
% 4.35/4.49 % --include_path ""
% 4.35/4.49 % --clausifier .//eprover
% 4.35/4.49 % --clausifier_options --tstp-format
% 4.35/4.49 % --stdin false
% 4.35/4.49 % --dbg_backtrace false
% 4.35/4.49 % --dbg_dump_prop_clauses false
% 4.35/4.49 % --dbg_dump_prop_clauses_file -
% 4.35/4.49 % --dbg_out_stat false
% 4.35/4.49
% 4.35/4.49 % ------ General Options
% 4.35/4.49
% 4.35/4.49 % --fof false
% 4.35/4.49 % --time_out_real 150.
% 4.35/4.49 % --time_out_prep_mult 0.2
% 4.35/4.49 % --time_out_virtual -1.
% 4.35/4.49 % --schedule none
% 4.35/4.49 % --ground_splitting input
% 4.35/4.49 % --splitting_nvd 16
% 4.35/4.49 % --non_eq_to_eq false
% 4.35/4.49 % --prep_gs_sim true
% 4.35/4.49 % --prep_unflatten false
% 4.35/4.49 % --prep_res_sim true
% 4.35/4.49 % --prep_upred true
% 4.35/4.49 % --res_sim_input true
% 4.35/4.49 % --clause_weak_htbl true
% 4.35/4.49 % --gc_record_bc_elim false
% 4.35/4.49 % --symbol_type_check false
% 4.35/4.49 % --clausify_out false
% 4.35/4.49 % --large_theory_mode false
% 4.35/4.49 % --prep_sem_filter none
% 4.35/4.49 % --prep_sem_filter_out false
% 4.35/4.49 % --preprocessed_out false
% 4.35/4.49 % --sub_typing false
% 4.35/4.49 % --brand_transform false
% 4.35/4.49 % --pure_diseq_elim true
% 4.35/4.49 % --min_unsat_core false
% 4.35/4.49 % --pred_elim true
% 4.35/4.49 % --add_important_lit false
% 4.35/4.49 % --soft_assumptions false
% 4.35/4.49 % --reset_solvers false
% 4.35/4.49 % --bc_imp_inh []
% 4.35/4.49 % --conj_cone_tolerance 1.5
% 4.35/4.49 % --prolific_symb_bound 500
% 4.35/4.49 % --lt_threshold 2000
% 4.35/4.49
% 4.35/4.49 % ------ SAT Options
% 4.35/4.49
% 4.35/4.49 % --sat_mode false
% 4.35/4.49 % --sat_fm_restart_options ""
% 4.35/4.49 % --sat_gr_def false
% 4.35/4.49 % --sat_epr_types true
% 4.35/4.49 % --sat_non_cyclic_types false
% 4.35/4.49 % --sat_finite_models false
% 4.35/4.49 % --sat_fm_lemmas false
% 4.35/4.49 % --sat_fm_prep false
% 4.35/4.49 % --sat_fm_uc_incr true
% 4.35/4.49 % --sat_out_model small
% 4.35/4.49 % --sat_out_clauses false
% 4.35/4.49
% 4.35/4.49 % ------ QBF Options
% 4.35/4.49
% 4.35/4.49 % --qbf_mode false
% 4.35/4.49 % --qbf_elim_univ true
% 4.35/4.49 % --qbf_sk_in true
% 4.35/4.49 % --qbf_pred_elim true
% 4.35/4.49 % --qbf_split 32
% 4.35/4.49
% 4.35/4.49 % ------ BMC1 Options
% 4.35/4.49
% 4.35/4.49 % --bmc1_incremental false
% 4.35/4.49 % --bmc1_axioms reachable_all
% 4.35/4.49 % --bmc1_min_bound 0
% 4.35/4.49 % --bmc1_max_bound -1
% 4.35/4.49 % --bmc1_max_bound_default -1
% 4.35/4.49 % --bmc1_symbol_reachability true
% 4.35/4.49 % --bmc1_property_lemmas false
% 4.35/4.49 % --bmc1_k_induction false
% 4.35/4.49 % --bmc1_non_equiv_states false
% 4.35/4.49 % --bmc1_deadlock false
% 4.35/4.49 % --bmc1_ucm false
% 4.35/4.49 % --bmc1_add_unsat_core none
% 4.35/4.49 % --bmc1_unsat_core_children false
% 4.35/4.49 % --bmc1_unsat_core_extrapolate_axioms false
% 4.35/4.49 % --bmc1_out_stat full
% 4.35/4.49 % --bmc1_ground_init false
% 4.35/4.49 % --bmc1_pre_inst_next_state false
% 4.35/4.49 % --bmc1_pre_inst_state false
% 4.35/4.49 % --bmc1_pre_inst_reach_state false
% 4.35/4.49 % --bmc1_out_unsat_core false
% 4.35/4.49 % --bmc1_aig_witness_out false
% 4.35/4.49 % --bmc1_verbose false
% 4.35/4.49 % --bmc1_dump_clauses_tptp false
% 7.23/7.39 % --bmc1_dump_unsat_core_tptp false
% 7.23/7.39 % --bmc1_dump_file -
% 7.23/7.39 % --bmc1_ucm_expand_uc_limit 128
% 7.23/7.39 % --bmc1_ucm_n_expand_iterations 6
% 7.23/7.39 % --bmc1_ucm_extend_mode 1
% 7.23/7.39 % --bmc1_ucm_init_mode 2
% 7.23/7.39 % --bmc1_ucm_cone_mode none
% 7.23/7.39 % --bmc1_ucm_reduced_relation_type 0
% 7.23/7.39 % --bmc1_ucm_relax_model 4
% 7.23/7.39 % --bmc1_ucm_full_tr_after_sat true
% 7.23/7.39 % --bmc1_ucm_expand_neg_assumptions false
% 7.23/7.39 % --bmc1_ucm_layered_model none
% 7.23/7.39 % --bmc1_ucm_max_lemma_size 10
% 7.23/7.39
% 7.23/7.39 % ------ AIG Options
% 7.23/7.39
% 7.23/7.39 % --aig_mode false
% 7.23/7.39
% 7.23/7.39 % ------ Instantiation Options
% 7.23/7.39
% 7.23/7.39 % --instantiation_flag true
% 7.23/7.39 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 7.23/7.39 % --inst_solver_per_active 750
% 7.23/7.39 % --inst_solver_calls_frac 0.5
% 7.23/7.39 % --inst_passive_queue_type priority_queues
% 7.23/7.39 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.23/7.39 % --inst_passive_queues_freq [25;2]
% 7.23/7.39 % --inst_dismatching true
% 7.23/7.39 % --inst_eager_unprocessed_to_passive true
% 7.23/7.39 % --inst_prop_sim_given true
% 7.23/7.39 % --inst_prop_sim_new false
% 7.23/7.39 % --inst_orphan_elimination true
% 7.23/7.39 % --inst_learning_loop_flag true
% 7.23/7.39 % --inst_learning_start 3000
% 7.23/7.39 % --inst_learning_factor 2
% 7.23/7.39 % --inst_start_prop_sim_after_learn 3
% 7.23/7.39 % --inst_sel_renew solver
% 7.23/7.39 % --inst_lit_activity_flag true
% 7.23/7.39 % --inst_out_proof true
% 7.23/7.39
% 7.23/7.39 % ------ Resolution Options
% 7.23/7.39
% 7.23/7.39 % --resolution_flag true
% 7.23/7.39 % --res_lit_sel kbo_max
% 7.23/7.39 % --res_to_prop_solver none
% 7.23/7.39 % --res_prop_simpl_new false
% 7.23/7.39 % --res_prop_simpl_given false
% 7.23/7.39 % --res_passive_queue_type priority_queues
% 7.23/7.39 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.23/7.39 % --res_passive_queues_freq [15;5]
% 7.23/7.39 % --res_forward_subs full
% 7.23/7.39 % --res_backward_subs full
% 7.23/7.39 % --res_forward_subs_resolution true
% 7.23/7.39 % --res_backward_subs_resolution true
% 7.23/7.39 % --res_orphan_elimination false
% 7.23/7.39 % --res_time_limit 1000.
% 7.23/7.39 % --res_out_proof true
% 7.23/7.39 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_bc7df7.s
% 7.23/7.39 % --modulo true
% 7.23/7.39
% 7.23/7.39 % ------ Combination Options
% 7.23/7.39
% 7.23/7.39 % --comb_res_mult 1000
% 7.23/7.39 % --comb_inst_mult 300
% 7.23/7.39 % ------
% 7.23/7.39
% 7.23/7.39 % ------ Parsing...% successful
% 7.23/7.39
% 7.23/7.39 % ------ 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 %
% 7.23/7.39
% 7.23/7.39 % ------ Proving...
% 7.23/7.39 % ------ Problem Properties
% 7.23/7.39
% 7.23/7.39 %
% 7.23/7.39 % EPR false
% 7.23/7.39 % Horn false
% 7.23/7.39 % Has equality true
% 7.23/7.39
% 7.23/7.39 % % ------ Input Options Time Limit: Unbounded
% 7.23/7.39
% 7.23/7.39
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 Compiling...
% 7.23/7.39 Loading plugin: done.
% 7.23/7.39 % % ------ Current options:
% 7.23/7.39
% 7.23/7.39 % ------ Input Options
% 7.23/7.39
% 7.23/7.39 % --out_options all
% 7.23/7.39 % --tptp_safe_out true
% 7.23/7.39 % --problem_path ""
% 7.23/7.39 % --include_path ""
% 7.23/7.39 % --clausifier .//eprover
% 7.23/7.39 % --clausifier_options --tstp-format
% 7.23/7.39 % --stdin false
% 7.23/7.39 % --dbg_backtrace false
% 7.23/7.39 % --dbg_dump_prop_clauses false
% 7.23/7.39 % --dbg_dump_prop_clauses_file -
% 7.23/7.39 % --dbg_out_stat false
% 7.23/7.39
% 7.23/7.39 % ------ General Options
% 7.23/7.39
% 7.23/7.39 % --fof false
% 7.23/7.39 % --time_out_real 150.
% 7.23/7.39 % --time_out_prep_mult 0.2
% 7.23/7.39 % --time_out_virtual -1.
% 7.23/7.39 % --schedule none
% 7.23/7.39 % --ground_splitting input
% 7.23/7.39 % --splitting_nvd 16
% 7.23/7.39 % --non_eq_to_eq false
% 7.23/7.39 % --prep_gs_sim true
% 7.23/7.39 % --prep_unflatten false
% 7.23/7.39 % --prep_res_sim true
% 7.23/7.39 % --prep_upred true
% 7.23/7.39 % --res_sim_input true
% 7.23/7.39 % --clause_weak_htbl true
% 7.23/7.39 % --gc_record_bc_elim false
% 7.23/7.39 % --symbol_type_check false
% 7.23/7.39 % --clausify_out false
% 7.23/7.39 % --large_theory_mode false
% 7.23/7.39 % --prep_sem_filter none
% 7.23/7.39 % --prep_sem_filter_out false
% 7.23/7.39 % --preprocessed_out false
% 7.23/7.39 % --sub_typing false
% 7.23/7.39 % --brand_transform false
% 7.23/7.39 % --pure_diseq_elim true
% 7.23/7.39 % --min_unsat_core false
% 7.23/7.39 % --pred_elim true
% 7.23/7.39 % --add_important_lit false
% 7.23/7.39 % --soft_assumptions false
% 7.23/7.39 % --reset_solvers false
% 7.23/7.39 % --bc_imp_inh []
% 7.23/7.39 % --conj_cone_tolerance 1.5
% 7.23/7.39 % --prolific_symb_bound 500
% 7.23/7.39 % --lt_threshold 2000
% 7.23/7.39
% 7.23/7.39 % ------ SAT Options
% 7.23/7.39
% 7.23/7.39 % --sat_mode false
% 7.23/7.39 % --sat_fm_restart_options ""
% 7.23/7.39 % --sat_gr_def false
% 7.23/7.39 % --sat_epr_types true
% 7.23/7.39 % --sat_non_cyclic_types false
% 7.23/7.39 % --sat_finite_models false
% 7.23/7.39 % --sat_fm_lemmas false
% 7.23/7.39 % --sat_fm_prep false
% 7.23/7.39 % --sat_fm_uc_incr true
% 7.23/7.39 % --sat_out_model small
% 7.23/7.39 % --sat_out_clauses false
% 7.23/7.39
% 7.23/7.39 % ------ QBF Options
% 7.23/7.39
% 7.23/7.39 % --qbf_mode false
% 7.23/7.39 % --qbf_elim_univ true
% 7.23/7.39 % --qbf_sk_in true
% 7.23/7.39 % --qbf_pred_elim true
% 7.23/7.39 % --qbf_split 32
% 7.23/7.39
% 7.23/7.39 % ------ BMC1 Options
% 7.23/7.39
% 7.23/7.39 % --bmc1_incremental false
% 7.23/7.39 % --bmc1_axioms reachable_all
% 7.23/7.39 % --bmc1_min_bound 0
% 7.23/7.39 % --bmc1_max_bound -1
% 7.23/7.39 % --bmc1_max_bound_default -1
% 7.23/7.39 % --bmc1_symbol_reachability true
% 7.23/7.39 % --bmc1_property_lemmas false
% 7.23/7.39 % --bmc1_k_induction false
% 7.23/7.39 % --bmc1_non_equiv_states false
% 7.23/7.39 % --bmc1_deadlock false
% 7.23/7.39 % --bmc1_ucm false
% 7.23/7.39 % --bmc1_add_unsat_core none
% 7.23/7.39 % --bmc1_unsat_core_children false
% 7.23/7.39 % --bmc1_unsat_core_extrapolate_axioms false
% 7.23/7.39 % --bmc1_out_stat full
% 7.23/7.39 % --bmc1_ground_init false
% 7.23/7.39 % --bmc1_pre_inst_next_state false
% 7.23/7.39 % --bmc1_pre_inst_state false
% 7.23/7.39 % --bmc1_pre_inst_reach_state false
% 7.23/7.39 % --bmc1_out_unsat_core false
% 7.23/7.39 % --bmc1_aig_witness_out false
% 7.23/7.39 % --bmc1_verbose false
% 7.23/7.39 % --bmc1_dump_clauses_tptp false
% 7.23/7.39 % --bmc1_dump_unsat_core_tptp false
% 7.23/7.39 % --bmc1_dump_file -
% 7.23/7.39 % --bmc1_ucm_expand_uc_limit 128
% 7.23/7.39 % --bmc1_ucm_n_expand_iterations 6
% 7.23/7.39 % --bmc1_ucm_extend_mode 1
% 7.23/7.39 % --bmc1_ucm_init_mode 2
% 7.23/7.39 % --bmc1_ucm_cone_mode none
% 7.23/7.39 % --bmc1_ucm_reduced_relation_type 0
% 7.23/7.39 % --bmc1_ucm_relax_model 4
% 7.23/7.39 % --bmc1_ucm_full_tr_after_sat true
% 7.23/7.39 % --bmc1_ucm_expand_neg_assumptions false
% 7.23/7.39 % --bmc1_ucm_layered_model none
% 7.23/7.39 % --bmc1_ucm_max_lemma_size 10
% 7.23/7.39
% 7.23/7.39 % ------ AIG Options
% 7.23/7.39
% 7.23/7.39 % --aig_mode false
% 7.23/7.39
% 7.23/7.39 % ------ Instantiation Options
% 7.23/7.39
% 7.23/7.39 % --instantiation_flag true
% 7.23/7.39 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 7.23/7.39 % --inst_solver_per_active 750
% 7.23/7.39 % --inst_solver_calls_frac 0.5
% 7.23/7.39 % --inst_passive_queue_type priority_queues
% 7.23/7.39 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.23/7.39 % --inst_passive_queues_freq [25;2]
% 7.23/7.39 % --inst_dismatching true
% 7.23/7.39 % --inst_eager_unprocessed_to_passive true
% 7.23/7.39 % --inst_prop_sim_given true
% 7.23/7.39 % --inst_prop_sim_new false
% 7.23/7.39 % --inst_orphan_elimination true
% 7.23/7.39 % --inst_learning_loop_flag true
% 7.23/7.39 % --inst_learning_start 3000
% 7.23/7.39 % --inst_learning_factor 2
% 7.23/7.39 % --inst_start_prop_sim_after_learn 3
% 7.23/7.39 % --inst_sel_renew solver
% 7.23/7.39 % --inst_lit_activity_flag true
% 7.23/7.39 % --inst_out_proof true
% 7.23/7.39
% 7.23/7.39 % ------ Resolution Options
% 7.23/7.39
% 7.23/7.39 % --resolution_flag true
% 7.23/7.39 % --res_lit_sel kbo_max
% 7.23/7.39 % --res_to_prop_solver none
% 7.23/7.39 % --res_prop_simpl_new false
% 7.23/7.39 % --res_prop_simpl_given false
% 7.23/7.39 % --res_passive_queue_type priority_queues
% 7.23/7.39 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.23/7.39 % --res_passive_queues_freq [15;5]
% 7.23/7.39 % --res_forward_subs full
% 7.23/7.39 % --res_backward_subs full
% 7.23/7.39 % --res_forward_subs_resolution true
% 7.23/7.39 % --res_backward_subs_resolution true
% 7.23/7.39 % --res_orphan_elimination false
% 7.23/7.39 % --res_time_limit 1000.
% 7.23/7.39 % --res_out_proof true
% 7.23/7.39 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_bc7df7.s
% 7.23/7.39 % --modulo true
% 7.23/7.39
% 7.23/7.39 % ------ Combination Options
% 7.23/7.39
% 7.23/7.39 % --comb_res_mult 1000
% 7.23/7.39 % --comb_inst_mult 300
% 7.23/7.39 % ------
% 7.23/7.39
% 7.23/7.39
% 7.23/7.39
% 7.23/7.39 % ------ Proving...
% 7.23/7.39 % warning: shown sat in sat incomplete mode
% 7.23/7.39 %
% 7.23/7.39
% 7.23/7.39
% 7.23/7.39
% 7.23/7.39
% 7.23/7.39 cnf(c_3342,plain,
% 7.23/7.39 ( X0 = X1
% 7.23/7.39 | hBOOL(hAPP(hAPP(X2,X1),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X3,X10,X2,X11,X4,X5,X12,X6) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4999_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14154,plain,
% 7.23/7.39 ( X0 = X1
% 7.23/7.39 | hBOOL(hAPP(hAPP(X2,X1),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X3,X10,X2,X11,X4,X5,X12,X6) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3342]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14155,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X2,X10,X0,X11,X3,X4,X12,X5)
% 7.23/7.39 | X6 = X1 ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14154]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3339,plain,
% 7.23/7.39 ( X0 = X1
% 7.23/7.39 | hBOOL(hAPP(hAPP(X2,X1),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X3,X10,X2,X11,X4,X5,X12,X6) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5000_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14148,plain,
% 7.23/7.39 ( X0 = X1
% 7.23/7.39 | hBOOL(hAPP(hAPP(X2,X1),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X6),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X3,X10,X2,X11,X4,X5,X12,X6) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3339]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14149,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X2,X10,X0,X11,X3,X4,X12,X5)
% 7.23/7.39 | X7 = X1 ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14148]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3334,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X5)))),X6))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X10,X0,X11,X1,X2,X12,X3)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,X4),X6)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5002_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14138,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X5)))),X6))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X10,X0,X11,X1,X2,X12,X3)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,X4),X6)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3334]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14139,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X5)))),X6))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X10,X0,X11,X1,X2,X12,X3) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14138]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3315,plain,
% 7.23/7.39 ( X0 = X1
% 7.23/7.39 | hBOOL(hAPP(hAPP(X2,X1),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),hAPP(X6,X0)),X7)))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X10,X11,X2,X6,X3,X4,X12,X5) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5010_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14100,plain,
% 7.23/7.39 ( X0 = X1
% 7.23/7.39 | hBOOL(hAPP(hAPP(X2,X1),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),hAPP(X6,X0)),X7)))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X10,X11,X2,X6,X3,X4,X12,X5) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3315]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14101,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X6)),X7)))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X10,X11,X0,X5,X2,X3,X12,X4)
% 7.23/7.39 | X6 = X1 ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14100]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3310,plain,
% 7.23/7.39 ( X0 = X1
% 7.23/7.39 | hBOOL(hAPP(hAPP(X2,X1),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X9,X2,X10,X3,X4,X11,X5) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5012_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14090,plain,
% 7.23/7.39 ( X0 = X1
% 7.23/7.39 | hBOOL(hAPP(hAPP(X2,X1),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X9,X2,X10,X3,X4,X11,X5) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3310]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14091,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X9,X0,X10,X2,X3,X11,X4)
% 7.23/7.39 | X5 = X1 ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14090]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3299,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X4,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X5),X1)),X1)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5017_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14068,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X4,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X5),X1)),X1)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3299]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14069,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X4,X3),X5))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X6),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14068]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3298,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5017_3) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14066,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3298]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14067,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X4),X2))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X5,X3),X6))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14066]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3295,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X5,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X4),X2)),X2)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5018_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14060,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X5,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X4),X2)),X2)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3295]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14061,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X4,X5),X3))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X2),X6))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14060]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3294,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5018_3) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14058,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3294]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14059,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X2),X4))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X5,X6),X3))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14058]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3291,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X4,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X1),X5)),X1)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5019_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14052,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X4,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X1),X5)),X1)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3291]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14053,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X4,X2),X5))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14052]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3290,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5019_3) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14050,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3290]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14051,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X5,X2),X6))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14050]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3287,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X5,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X2),X4)),X2)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5020_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14044,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X5,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X2),X4)),X2)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3287]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14045,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X4,X5),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14044]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3286,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5020_3) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14042,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3286]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14043,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X5,X6),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14042]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3283,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X4,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X5),X1)),X1)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5021_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14036,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X4,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X5),X1)),X1)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3283]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14037,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X4,X3),X5))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X6),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14036]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3282,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5021_3) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14034,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3282]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14035,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X4),X2))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X5,X3),X6))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14034]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3279,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X5,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X4),X2)),X2)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5022_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14028,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X5,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X4),X2)),X2)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3279]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14029,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X4,X5),X3))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X2),X6))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14028]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3278,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5022_3) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14026,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3278]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14027,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X2),X4))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X5,X6),X3))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14026]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3275,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X4,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X1),X5)),X1)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5023_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14020,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X4,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X1),X5)),X1)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3275]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14021,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X4,X2),X5))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14020]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3274,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5023_3) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14018,plain,
% 7.23/7.39 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.23/7.39 inference(copy,[status(esa)],[c_3274]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14019,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X5,X2),X6))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 7.23/7.39 inference(rewriting,[status(thm)],[c_14018]) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_3271,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X5,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X2),X4)),X2)) ),
% 7.23/7.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5024_2) ).
% 7.23/7.39
% 7.23/7.39 cnf(c_14012,plain,
% 7.23/7.39 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.39 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.39 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X5,X10,X11,X12)
% 7.23/7.39 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X2),X4)),X2)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3271]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_14013,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X4,X5),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_14012]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3270,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5024_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_14010,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3270]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_14011,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X5,X6),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_14010]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3263,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X2),X4)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X1,X3,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5027_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13996,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X2),X4)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X1,X3,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3263]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13997,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13996]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3262,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5027_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13994,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3262]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13995,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13994]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3259,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X4),X2)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X1,X3,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5028_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13988,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X4),X2)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X1,X3,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3259]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13989,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13988]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3258,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5028_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13986,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3258]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13987,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13986]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3255,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X2),X4)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X1,X3,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5029_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13980,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X2),X4)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X1,X3,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3255]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13981,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13980]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3254,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5029_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13978,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3254]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13979,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13978]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3251,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X4),X2)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X1,X3,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5030_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13972,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X4),X2)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X1,X3,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3251]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13973,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13972]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3250,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5030_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13970,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3250]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13971,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13970]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3247,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X5),X2)),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5031_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13964,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X5),X2)),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3247]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13965,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X5,X6),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13964]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3246,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5031_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13962,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3246]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13963,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13962]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3243,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X4),X1)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5032_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13956,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X4),X1)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3243]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13957,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X5,X2),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13956]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3242,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5032_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13954,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3242]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13955,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13954]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3239,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X2),X5)),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5033_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13948,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X2),X5)),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3239]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13949,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X5,X6),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13948]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3238,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5033_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13946,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3238]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13947,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X6),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13946]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3235,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X1),X4)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5034_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13940,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X1),X4)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3235]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13941,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X5,X3),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13940]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3234,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5034_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13938,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3234]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13939,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13938]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3231,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X5),X2)),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5035_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13932,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X5),X2)),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3231]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13933,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X5,X6),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13932]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3230,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5035_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13930,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3230]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13931,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13930]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3227,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X4),X1)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5036_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13924,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X4),X1)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3227]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13925,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X5,X2),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13924]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3226,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5036_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13922,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3226]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13923,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13922]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3223,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X2),X5)),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5037_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13916,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X2),X5)),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3223]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13917,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X5,X6),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13916]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3222,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5037_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13914,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3222]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13915,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X6),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13914]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3219,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X1),X4)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5038_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13908,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X1),X4)),X4))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3219]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13909,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X5,X3),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13908]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3218,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5038_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13906,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3218]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13907,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X2),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13906]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3215,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X5,X10,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X4),X1))) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5039_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13900,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X5,X10,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X4),X1))) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3215]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13901,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13900]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3214,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5039_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13898,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3214]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13899,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X5,X1),X6))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13898]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3211,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X4,X10,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X5),X2))) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5040_2) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13892,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X4,X10,X11,X12)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X5),X2))) ),
% 7.23/7.40 inference(copy,[status(esa)],[c_3211]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13893,plain,
% 7.23/7.40 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.23/7.40 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 7.23/7.40 inference(rewriting,[status(thm)],[c_13892]) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_3210,plain,
% 7.23/7.40 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.23/7.40 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 7.23/7.40 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.23/7.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5040_3) ).
% 7.23/7.40
% 7.23/7.40 cnf(c_13890,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3210]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13891,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X5,X6),X1))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13890]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3207,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X5,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X1),X4))) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5041_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13884,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X5,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X1),X4))) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3207]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13885,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13884]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3206,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5041_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13882,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3206]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13883,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X5,X1),X6))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13882]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3203,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X4,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X2),X5))) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5042_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13876,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X4,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X2),X5))) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3203]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13877,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13876]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3202,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5042_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13874,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3202]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13875,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X5,X6),X1))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13874]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3199,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X5,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X4),X1))) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5043_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13868,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X5,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X4),X1))) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3199]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13869,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13868]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3198,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5043_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13866,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3198]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13867,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X5,X1),X6))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13866]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3195,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X4,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X5),X2))) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5044_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13860,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X4,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X5),X2))) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3195]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13861,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13860]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3194,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5044_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13858,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3194]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13859,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X5,X6),X1))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13858]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3191,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X5,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X1),X4))) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5045_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13852,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X5,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X1),X4))) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3191]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13853,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13852]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3190,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5045_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13850,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3190]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13851,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X5,X1),X6))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13850]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3187,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X4,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X2),X5))) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5046_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13844,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X4,X10,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X2),X5))) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3187]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13845,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13844]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3186,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5046_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13842,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3186]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13843,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X5,X6),X1))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13842]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3185,plain,
% 7.26/7.41 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X12),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5047_0) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13840,plain,
% 7.26/7.41 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X12),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3185]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13841,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X1,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13840]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3182,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5047_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13834,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3182]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13835,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X1,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13834]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3181,plain,
% 7.26/7.41 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5048_0) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13832,plain,
% 7.26/7.41 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3181]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13833,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X1,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13832]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3178,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5048_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13826,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3178]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13827,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X1,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13826]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3177,plain,
% 7.26/7.41 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X12),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5049_0) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13824,plain,
% 7.26/7.41 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X12),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3177]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13825,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X1,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13824]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3174,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5049_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13818,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3174]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13819,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X1,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13818]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3173,plain,
% 7.26/7.41 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5050_0) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13816,plain,
% 7.26/7.41 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3173]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13817,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X1,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13816]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3170,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5050_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13810,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3170]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13811,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X1,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13810]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3167,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X1),X3)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X2,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5051_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13804,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X1),X3)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X2,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3167]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13805,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13804]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3166,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5051_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13802,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3166]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13803,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13802]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3163,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X3),X1)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X2,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5052_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13796,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X3),X1)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X2,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3163]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13797,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13796]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3162,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5052_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13794,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3162]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13795,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13794]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3159,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X1),X3)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X2,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5053_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13788,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X1),X3)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X2,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3159]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13789,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13788]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3158,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5053_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13786,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3158]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13787,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13786]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3155,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X3),X1)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X2,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5054_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13780,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X3),X1)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X2,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3155]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13781,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13780]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3154,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5054_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13778,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3154]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13779,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13778]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3151,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X5),X1)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5055_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13772,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X5),X1)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3151]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13773,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X6),X1))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13772]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3150,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5055_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13770,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3150]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13771,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13770]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3147,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X4),X2)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5056_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13764,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X4),X2)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3147]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13765,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X1),X6))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13764]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3146,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5056_3) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13762,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3146]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13763,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 7.26/7.41 inference(rewriting,[status(thm)],[c_13762]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_3143,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X1),X5)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 7.26/7.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5057_2) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13756,plain,
% 7.26/7.41 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X1),X5)))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 7.26/7.41 inference(copy,[status(esa)],[c_3143]) ).
% 7.26/7.41
% 7.26/7.41 cnf(c_13757,plain,
% 7.26/7.41 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.41 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.41 | hBOOL(hAPP(hAPP(X5,X6),X1))
% 7.26/7.41 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13756]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3142,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5057_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13754,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3142]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13755,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13754]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3139,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X2),X4)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5058_2) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13748,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X2),X4)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3139]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13749,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X1),X6))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13748]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3138,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5058_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13746,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3138]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13747,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13746]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3135,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X5),X1)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5059_2) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13740,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X5),X1)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3135]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13741,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X6),X1))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13740]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3134,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5059_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13738,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3134]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13739,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13738]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3131,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X4),X2)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5060_2) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13732,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X4),X2)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3131]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13733,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X1),X6))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13732]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3130,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5060_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13730,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3130]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13731,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13730]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3127,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X1),X5)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5061_2) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13724,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X1),X5)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3127]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13725,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X6),X1))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13724]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3126,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5061_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13722,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3126]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13723,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13722]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3123,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X2),X4)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5062_2) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13716,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X2),X4)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3123]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13717,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X1),X6))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13716]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3122,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5062_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13714,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3122]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13715,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13714]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3121,plain,
% 7.26/7.42 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5063_0) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13712,plain,
% 7.26/7.42 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3121]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13713,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13712]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3118,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5063_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13706,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3118]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13707,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13706]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3117,plain,
% 7.26/7.42 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5064_0) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13704,plain,
% 7.26/7.42 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3117]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13705,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13704]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3114,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5064_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13698,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3114]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13699,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13698]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3113,plain,
% 7.26/7.42 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5065_0) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13696,plain,
% 7.26/7.42 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3113]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13697,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13696]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3110,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5065_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13690,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3110]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13691,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13690]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3109,plain,
% 7.26/7.42 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5066_0) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13688,plain,
% 7.26/7.42 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3109]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13689,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13688]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3106,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5066_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13682,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3106]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13683,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X2,X11,X12) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13682]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3100,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5068_2) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13670,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3100]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13671,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X2),X3))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13670]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3092,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5071_2) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13654,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3092]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13655,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13654]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3086,plain,
% 7.26/7.42 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 7.26/7.42 | X12 = X11
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X12),X11)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5074_1) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13642,plain,
% 7.26/7.42 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 7.26/7.42 | X12 = X11
% 7.26/7.42 | hBOOL(hAPP(hAPP(X5,X12),X11)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3086]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13643,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X9,X10,X11,X12)
% 7.26/7.42 | X2 = X1 ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13642]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3084,plain,
% 7.26/7.42 ( X0 = X1
% 7.26/7.42 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11,X12) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5074_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13638,plain,
% 7.26/7.42 ( X0 = X1
% 7.26/7.42 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11,X12) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3084]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13639,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X9,X10,X11,X12)
% 7.26/7.42 | X1 = X2 ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13638]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3058,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X3),X2))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5085_2) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13586,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X3),X2))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3058]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13587,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X6),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X1,X2,X0,X8,X3) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13586]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3057,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X0,X7,X8)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5085_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13584,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X0,X7,X8)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3057]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13585,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,X6),X5))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X1,X2,X0,X8,X3) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13584]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3054,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X2))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X5,X1,X6,X7,X0,X3,X8)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X8),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5086_2) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13578,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X3,X4),X2))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X5,X1,X6,X7,X0,X3,X8)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X8),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3054]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13579,plain,
% 7.26/7.42 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X6,X7),X5))
% 7.26/7.42 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X6,X0,X3) ),
% 7.26/7.42 inference(rewriting,[status(thm)],[c_13578]) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_3053,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X7,X0,X8)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X7,X4),X2)) ),
% 7.26/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5086_3) ).
% 7.26/7.42
% 7.26/7.42 cnf(c_13576,plain,
% 7.26/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.26/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X7,X0,X8)
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.26/7.42 | ~ hBOOL(hAPP(hAPP(X7,X4),X2)) ),
% 7.26/7.42 inference(copy,[status(esa)],[c_3053]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13577,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X6,X7),X5))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X6,X0,X3) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13576]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3050,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),X5))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),X5)))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X2,X3,X8,X0,X4)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X7),X1)) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5087_2) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13570,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),X5))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),X5)))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X2,X3,X8,X0,X4)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X7),X1)) ),
% 7.27/7.42 inference(copy,[status(esa)],[c_3050]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13571,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5))),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5)))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X2),X3))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X6),X2))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X3,X1,X8,X0,X4) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13570]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3049,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5))),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5)))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X3,X1,X8,X0,X4)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X7),X2))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5087_3) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13568,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5))),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5)))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X3,X1,X8,X0,X4)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X7),X2))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 7.27/7.42 inference(copy,[status(esa)],[c_3049]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13569,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5))),hAPP(hAPP(c_Power_Opower_Opower(X3,X1,X4),X2),X5)))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X6),X2))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X2),X3))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X3,X1,X8,X0,X4) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13568]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3046,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,X3),X2))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),hAPP(c_Suc,X9))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),hAPP(c_Suc,X9)))) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5088_2) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13562,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,X3),X2))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),hAPP(c_Suc,X9))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),hAPP(c_Suc,X9)))) ),
% 7.27/7.42 inference(copy,[status(esa)],[c_3046]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13563,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),hAPP(c_Suc,X5))))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X7),X6))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X0,X9,X3) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13562]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3045,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X0,X7,X8)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),hAPP(c_Suc,X9))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),hAPP(c_Suc,X9))))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5088_3) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13560,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X0,X7,X8)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),hAPP(c_Suc,X9))),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),hAPP(c_Suc,X9))))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 7.27/7.42 inference(copy,[status(esa)],[c_3045]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13561,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),hAPP(c_Suc,X5))))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X7),X6))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X0,X9,X3) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13560]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3042,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X3,X4),X2))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X5,X1,X6,X7,X0,X3,X8)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X8),X4),X9)),hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X8),X2),X9))) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5089_2) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13554,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X3,X4),X2))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X5,X1,X6,X7,X0,X3,X8)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X8),X4),X9)),hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X8),X2),X9))) ),
% 7.27/7.42 inference(copy,[status(esa)],[c_3042]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13555,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X7,X8),X6))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X9,X8,X1,X2,X7,X0,X3) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13554]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3041,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X7,X0,X8)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),X9)),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),X9)))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X7,X4),X2)) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5089_3) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13552,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X5,X6,X7,X0,X8)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),X9)),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),X9)))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X7,X4),X2)) ),
% 7.27/7.42 inference(copy,[status(esa)],[c_3041]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13553,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X7,X8),X6))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X9,X8,X1,X2,X7,X0,X3) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13552]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3033,plain,
% 7.27/7.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X2,X3,X4,X5,X6,X7,X8)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X7,X4),X9))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X7,hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X8),X9),X0)),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X8),X9),X1))) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5091_3) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13536,plain,
% 7.27/7.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X2,X3,X4,X5,X6,X7,X8)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X7,X4),X9))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X7,hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X8),X9),X0)),hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X8),X9),X1))) ),
% 7.27/7.42 inference(copy,[status(esa)],[c_3033]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13537,plain,
% 7.27/7.42 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),X0)),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),X1)))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X2,X3),X6))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X3,X4,X9,X2,X5) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13536]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3030,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(X2,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5))))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5092_2) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13530,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(X2,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5))))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.27/7.42 inference(copy,[status(esa)],[c_3030]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13531,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(X2,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5))))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13530]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3027,plain,
% 7.27/7.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X7),X3),X0)),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X7),X8),X0)))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X9,X2,X5,X6,X1,X4,X7)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X4,X3),X8)) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5093_2) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13524,plain,
% 7.27/7.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X7),X3),X0)),hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X7),X8),X0)))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X9,X2,X5,X6,X1,X4,X7)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X4,X3),X8)) ),
% 7.27/7.42 inference(copy,[status(esa)],[c_3027]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13525,plain,
% 7.27/7.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.27/7.42 | hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X0)),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),X0)))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X7,X8),X5))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X1,X5),X6))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X9,X8,X2,X3,X7,X1,X4) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13524]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3025,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X9,X8),X4))
% 7.27/7.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X5,tc_nat) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5093_4) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13520,plain,
% 7.27/7.42 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X9,X8),X4))
% 7.27/7.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X5,tc_nat) ),
% 7.27/7.42 inference(copy,[status(esa)],[c_3025]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13521,plain,
% 7.27/7.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.27/7.42 | hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X0)),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),X0)))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X1,X5),X6))
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X7,X8),X5))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X9,X8,X2,X3,X7,X1,X4) ),
% 7.27/7.42 inference(rewriting,[status(thm)],[c_13520]) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_3021,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),X5)),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),X6)))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X2,X3,X9,X0,X4)
% 7.27/7.42 | ~ c_HOL_Oord__class_Oless(X6,X5,tc_nat)
% 7.27/7.42 | ~ hBOOL(hAPP(hAPP(X0,X8),X1)) ),
% 7.27/7.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5094_3) ).
% 7.27/7.42
% 7.27/7.42 cnf(c_13512,plain,
% 7.27/7.42 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.42 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),X5)),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),X6)))
% 7.27/7.42 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X2,X3,X9,X0,X4)
% 7.27/7.43 | ~ c_HOL_Oord__class_Oless(X6,X5,tc_nat)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X8),X1)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_3021]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13513,plain,
% 7.27/7.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.27/7.43 | hBOOL(hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),X1)),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),X0)))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X2,X6),X3))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X2,X7),X6))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X3,X4,X9,X2,X5) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13512]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_3020,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 7.27/7.43 | ~ c_HOL_Oord__class_Oless(X6,X5,tc_nat)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X8),X4))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X4),X1)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5094_4) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13510,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 7.27/7.43 | ~ c_HOL_Oord__class_Oless(X6,X5,tc_nat)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X8),X4))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X4),X1)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_3020]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13511,plain,
% 7.27/7.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.27/7.43 | hBOOL(hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),X1)),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),X0)))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X2,X7),X6))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X2,X6),X3))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X3,X4,X9,X2,X5) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13510]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_3017,plain,
% 7.27/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.43 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X2),X6)),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),X6)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X8,X1,X3,X4,X0,X9,X5)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X2),X7)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5095_2) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13504,plain,
% 7.27/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.43 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X2),X6)),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),X6)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X8,X1,X3,X4,X0,X9,X5)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X2),X7)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_3017]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13505,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X7),X4))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X0,X9,X3) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13504]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_3016,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X0,X9,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X8),X4)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5095_3) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13502,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X0,X9,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X8),X4)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_3016]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13503,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X6),X5)))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X7),X4))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X8,X7,X1,X2,X0,X9,X3) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13502]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_3008,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.27/7.43 | ~ c_HOL_Oord__class_Oless(X5,X6,tc_nat) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5097_3) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13486,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X6)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X1,X2,X9,X0,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.27/7.43 | ~ c_HOL_Oord__class_Oless(X5,X6,tc_nat) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_3008]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13487,plain,
% 7.27/7.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.27/7.43 | hBOOL(hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),X0)),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),X1)))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X6))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X8,X3,X4,X9,X2,X5) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13486]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_3005,plain,
% 7.27/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.43 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),hAPP(c_Suc,X5))),X2))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X2,X3,X8,X0,X4)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X7),X1)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5098_2) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13480,plain,
% 7.27/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.43 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),hAPP(c_Suc,X5))),X2))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X2,X3,X8,X0,X4)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X7),X1)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_3005]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13481,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),X1))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X4),X1))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X6),X4))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X1,X2,X8,X0,X3) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13480]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_3004,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),X1))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X7),X4))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X4),X1)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5098_3) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13478,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),X1))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X7),X4))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X4),X1)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_3004]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13479,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))),X1))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X6),X4))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X4),X1))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X6,X1,X2,X8,X0,X3) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13478]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_3001,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X4),X3),X5))))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X4)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5099_2) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13472,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X4),X3),X5))))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X4)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_3001]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13473,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X4),X3),X5))))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X4) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13472]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_2998,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5100_2) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13466,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_2998]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13467,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(c_Suc,X5))))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13466]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_2994,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.27/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X5,tc_nat) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5101_3) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13458,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X8,X0,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.27/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X5,tc_nat) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_2994]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13459,plain,
% 7.27/7.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.27/7.43 | hBOOL(hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X0)))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X1,X2),X5))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X2,X3,X8,X1,X4) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13458]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_2991,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X6)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X1,X2,X3,X8,X0,X4)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5102_2) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13452,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X6)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X1,X2,X3,X8,X0,X4)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_2991]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13453,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X6)))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X5))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X1,X2,X3,X8,X0,X4) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13452]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_2988,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X6)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X1,X2,X3,X0,X8,X4)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5103_2) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13446,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X6)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X1,X2,X3,X0,X8,X4)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_2988]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13447,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),X6)))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X5))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X7,X1,X2,X3,X0,X8,X4) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13446]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_2985,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X0,X8,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5104_2) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13440,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X0,X8,X3)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_2985]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13441,plain,
% 7.27/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X1,X2,X0,X8,X3) ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13440]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_2983,plain,
% 7.27/7.43 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X0,X1,X7,X8,X2)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X7,X6),X4))
% 7.27/7.43 | X3 = X4
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X7,X6),X3)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5105_1) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13436,plain,
% 7.27/7.43 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X0,X1,X7,X8,X2)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X7,X6),X4))
% 7.27/7.43 | X3 = X4
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X7,X6),X3)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_2983]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13437,plain,
% 7.27/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 7.27/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.27/7.43 | X3 = X2 ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13436]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_2980,plain,
% 7.27/7.43 ( X0 = X1
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X0))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X1))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X4,X3,X5,X6,X2,X7,X8)
% 7.27/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5105_4) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13430,plain,
% 7.27/7.43 ( X0 = X1
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X0))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X1))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X4,X3,X5,X6,X2,X7,X8)
% 7.27/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.27/7.43 inference(copy,[status(esa)],[c_2980]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13431,plain,
% 7.27/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 7.27/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.27/7.43 | X2 = X3 ),
% 7.27/7.43 inference(rewriting,[status(thm)],[c_13430]) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_2978,plain,
% 7.27/7.43 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),X4)
% 7.27/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 7.27/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X8,X7),X5))
% 7.27/7.43 | X3 = X5
% 7.27/7.43 | ~ hBOOL(hAPP(hAPP(X8,X7),X3)) ),
% 7.27/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5106_1) ).
% 7.27/7.43
% 7.27/7.43 cnf(c_13426,plain,
% 7.28/7.43 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),X4)
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X8,X7),X5))
% 7.28/7.43 | X3 = X5
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X8,X7),X3)) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2978]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13427,plain,
% 7.28/7.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X1,X2),X4))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X2,X6,X7,X1,X8,X9)
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X9),X4),X0) != hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X9),X3),X0)
% 7.28/7.43 | X4 = X3 ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13426]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2974,plain,
% 7.28/7.43 ( X0 = X1
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X0))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X1))
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X3,X6,X7,X2,X8,X9)
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X9),X0),X4) != hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X9),X1),X4) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5106_5) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13418,plain,
% 7.28/7.43 ( X0 = X1
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X0))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X1))
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X3,X6,X7,X2,X8,X9)
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X9),X0),X4) != hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X9),X1),X4) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2974]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13419,plain,
% 7.28/7.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X1,X2),X4))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X2,X6,X7,X1,X8,X9)
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X9),X3),X0) != hAPP(hAPP(c_Power_Opower_Opower(X6,X7,X9),X4),X0)
% 7.28/7.43 | X3 = X4 ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13418]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2972,plain,
% 7.28/7.43 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,X4)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),hAPP(c_Suc,X4))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X8,X7),X5))
% 7.28/7.43 | X3 = X5
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X8,X7),X3)) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5107_1) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13414,plain,
% 7.28/7.43 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,X4)) != hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X5),hAPP(c_Suc,X4))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X6,X7,X0,X1,X8,X9,X2)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X8,X7),X5))
% 7.28/7.43 | X3 = X5
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X8,X7),X3)) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2972]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13415,plain,
% 7.28/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),hAPP(c_Suc,X9)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),hAPP(c_Suc,X9))
% 7.28/7.43 | X3 = X2 ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13414]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2969,plain,
% 7.28/7.43 ( X0 = X1
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X0))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X1))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X4,X3,X5,X6,X2,X7,X8)
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X0),hAPP(c_Suc,X9)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),hAPP(c_Suc,X9)) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5107_4) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13408,plain,
% 7.28/7.43 ( X0 = X1
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X0))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X2,X3),X1))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X4,X3,X5,X6,X2,X7,X8)
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X0),hAPP(c_Suc,X9)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X1),hAPP(c_Suc,X9)) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2969]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13409,plain,
% 7.28/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X4,X1,X5,X6,X0,X7,X8)
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X2),hAPP(c_Suc,X9)) != hAPP(hAPP(c_Power_Opower_Opower(X5,X6,X8),X3),hAPP(c_Suc,X9))
% 7.28/7.43 | X2 = X3 ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13408]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2963,plain,
% 7.28/7.43 ( X0 = X1
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X2,X3,X4,X5,X6,X7,X8)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X7,X4),X9))
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X8),X9),X0) != hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X8),X9),X1) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5109_3) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13396,plain,
% 7.28/7.43 ( X0 = X1
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X2,X3,X4,X5,X6,X7,X8)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X7,X4),X9))
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X8),X9),X0) != hAPP(hAPP(c_Power_Opower_Opower(X4,X5,X8),X9),X1) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2963]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13397,plain,
% 7.28/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X3,X4,X1,X5,X6,X0,X7)
% 7.28/7.43 | hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X8) != hAPP(hAPP(c_Power_Opower_Opower(X1,X5,X7),X2),X9)
% 7.28/7.43 | X8 = X9 ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13396]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2954,plain,
% 7.28/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.43 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X3,X4),X2)))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X3,X5,X6,X7,X8,X0,X9)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X5),X4)) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5113_2) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13378,plain,
% 7.28/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.43 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X3,X4),X2)))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X3,X5,X6,X7,X8,X0,X9)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X5),X4)) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2954]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13379,plain,
% 7.28/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X5),X3))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X2,X5,X6,X7,X8,X0,X9) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13378]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2953,plain,
% 7.28/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X2,X5,X6,X7,X8,X0,X9)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X5),X3))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5113_3) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13376,plain,
% 7.28/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X2,X5,X6,X7,X8,X0,X9)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X5),X3))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2953]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13377,plain,
% 7.28/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X5),X3))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X2,X5,X6,X7,X8,X0,X9) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13376]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2950,plain,
% 7.28/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.43 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X3,X4),X2)))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X1,X3,X7,X0,X8)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5114_2) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13370,plain,
% 7.28/7.43 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.43 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X3,X4),X2)))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X1,X3,X7,X0,X8)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2950]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13371,plain,
% 7.28/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X1,X2,X7,X0,X8) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13370]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2949,plain,
% 7.28/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X1,X2,X7,X0,X8)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5114_3) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13368,plain,
% 7.28/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X1,X2,X7,X0,X8)
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2949]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13369,plain,
% 7.28/7.43 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X4)))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.28/7.43 | ~ hBOOL(hAPP(hAPP(X0,X1),X4))
% 7.28/7.43 | ~ c_Ring__and__Field_Oordered__semidom(X5,X6,X1,X2,X7,X0,X8) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13368]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2804,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Omod(X1,X2,tc_nat))),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5186_2) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13078,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Omod(X1,X2,tc_nat))),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2804]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13079,plain,
% 7.28/7.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.43 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Divides_Odiv__class_Omod(X2,X0,tc_nat))),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13078]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2768,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.43 | ~ class_Int_Onumber(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5199_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13006,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.43 | ~ class_Int_Onumber(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2768]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_13007,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_13006]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2761,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 7.28/7.43 | ~ class_Int_Onumber(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5200_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12992,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 7.28/7.43 | ~ class_Int_Onumber(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2761]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12993,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12992]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2744,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.43 | ~ class_Int_Onumber(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5203_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12958,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.43 | ~ class_Int_Onumber(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2744]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12959,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12958]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2737,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.43 | ~ class_Int_Onumber(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5204_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12944,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.43 | ~ class_Int_Onumber(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2737]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12945,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12944]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2720,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.43 | ~ class_Int_Onumber(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5209_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12910,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.43 | ~ class_Int_Onumber(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2720]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12911,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12910]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2713,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 7.28/7.43 | ~ class_Int_Onumber(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5210_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12896,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 7.28/7.43 | ~ class_Int_Onumber(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2713]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12897,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12896]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2700,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 7.28/7.43 | ~ class_Int_Onumber(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5213_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12870,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 7.28/7.43 | ~ class_Int_Onumber(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2700]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12871,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12870]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2693,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 7.28/7.43 | ~ class_Int_Onumber(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5214_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12856,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 7.28/7.43 | ~ class_Int_Onumber(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2693]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12857,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12856]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2675,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0),X3,X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.43 | ~ class_Int_Onumber(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5222_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12820,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0),X3,X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.43 | ~ class_Int_Onumber(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2675]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12821,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12820]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2668,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5223_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12806,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2668]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12807,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12806]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2661,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X3,X1)),X0),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 7.28/7.43 | ~ class_Int_Onumber(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5224_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12792,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X3,X1)),X0),X1)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 7.28/7.43 | ~ class_Int_Onumber(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2661]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12793,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12792]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2654,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5225_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12778,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2654]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12779,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12778]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2644,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5227_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12758,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2644]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12759,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12758]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2637,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5228_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12744,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2637]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12745,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12744]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2624,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5231_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12718,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2624]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12719,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12718]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2617,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5232_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12704,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2617]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12705,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12704]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2610,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5233_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12690,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2610]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12691,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12690]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2603,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5234_6) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12676,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2603]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12677,plain,
% 7.28/7.43 ( ~ class_Int_Onumber(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12676]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2595,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5236_5) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12660,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2595]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12661,plain,
% 7.28/7.43 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12660]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2589,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5237_5) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12648,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2589]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12649,plain,
% 7.28/7.43 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12648]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2583,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5238_5) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12636,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 inference(copy,[status(esa)],[c_2583]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12637,plain,
% 7.28/7.43 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.43 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 7.28/7.43 inference(rewriting,[status(thm)],[c_12636]) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_2577,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.43 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5239_5) ).
% 7.28/7.43
% 7.28/7.43 cnf(c_12624,plain,
% 7.28/7.43 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 7.28/7.43 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2577]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12625,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12624]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2562,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5244_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12594,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2562]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12595,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12594]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2555,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5245_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12580,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2555]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12581,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12580]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2548,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 7.28/7.44 | ~ class_Int_Onumber(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5246_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12566,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 7.28/7.44 | ~ class_Int_Onumber(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2548]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12567,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12566]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2541,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X0,X1)),X3,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | ~ class_Int_Onumber(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5247_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12552,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X0,X1)),X3,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | ~ class_Int_Onumber(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2541]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12553,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12552]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2526,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5251_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12522,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2526]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12523,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12522]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2519,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5252_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12508,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2519]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12509,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12508]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2497,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 7.28/7.44 | ~ class_Int_Onumber(X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5260_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12464,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 7.28/7.44 | ~ class_Int_Onumber(X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2497]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12465,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12464]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2491,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 7.28/7.44 | ~ class_Int_Onumber(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5261_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12452,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 7.28/7.44 | ~ class_Int_Onumber(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2491]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12453,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12452]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2486,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5262_4) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12442,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2486]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12443,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12442]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2473,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X3,X1)),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 7.28/7.44 | ~ class_Int_Onumber(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5265_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12416,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X3,X1)),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 7.28/7.44 | ~ class_Int_Onumber(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2473]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12417,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12416]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2467,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5266_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12404,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2467]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12405,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12404]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2461,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 7.28/7.44 | ~ class_Int_Onumber(X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5267_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12392,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 7.28/7.44 | ~ class_Int_Onumber(X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2461]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12393,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12392]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2455,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 7.28/7.44 | ~ class_Int_Onumber(X3)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5268_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12380,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 7.28/7.44 | ~ class_Int_Onumber(X3)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2455]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12381,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12380]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2451,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X3,X0)),c_HOL_Oabs__class_Oabs(X1,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5270_1) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12372,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X3,X0)),c_HOL_Oabs__class_Oabs(X1,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2451]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12373,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12372]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2443,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X3),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 7.28/7.44 | ~ class_Int_Onumber(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5271_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12356,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X3),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 7.28/7.44 | ~ class_Int_Onumber(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2443]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12357,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12356]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2437,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5272_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12344,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2437]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12345,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12344]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2435,plain,
% 7.28/7.44 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X2,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5273_1) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12340,plain,
% 7.28/7.44 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X2,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2435]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12341,plain,
% 7.28/7.44 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12340]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2431,plain,
% 7.28/7.44 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5274_1) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12332,plain,
% 7.28/7.44 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2431]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12333,plain,
% 7.28/7.44 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12332]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2425,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5275_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12320,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2425]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12321,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12320]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2421,plain,
% 7.28/7.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.44 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oinverse__class_Odivide(X2,X0,X1)),X3)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5276_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12312,plain,
% 7.28/7.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.44 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oinverse__class_Odivide(X2,X0,X1)),X3)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2421]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12313,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.44 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2)
% 7.28/7.44 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12312]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2418,plain,
% 7.28/7.44 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),c_HOL_Oinverse__class_Odivide(X2,X4,X0))
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5277_2) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12306,plain,
% 7.28/7.44 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),c_HOL_Oinverse__class_Odivide(X2,X4,X0))
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2418]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12307,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.44 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),c_HOL_Oinverse__class_Odivide(X2,X4,X0)) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12306]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2396,plain,
% 7.28/7.44 ( c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5289_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12262,plain,
% 7.28/7.44 ( c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2396]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12263,plain,
% 7.28/7.44 ( c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.44 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12262]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2389,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5290_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12248,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2389]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12249,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12248]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2382,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5291_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12234,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2382]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12235,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12234]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2368,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5296_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12206,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2368]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12207,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12206]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2362,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5297_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12194,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2362]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12195,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12194]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2359,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5298_2) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12188,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2359]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12189,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12188]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2356,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X3,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5298_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12182,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X3,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2356]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12183,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12182]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2350,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5299_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12170,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2350]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12171,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12170]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2344,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5300_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12158,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2344]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12159,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12158]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2338,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5301_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12146,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2338]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12147,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12146]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2335,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5302_2) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12140,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2335]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12141,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12140]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2332,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5302_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12134,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2332]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12135,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12134]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2326,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5303_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12122,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2326]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12123,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12122]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2315,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5306_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12100,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2315]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12101,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12100]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2300,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5314_4) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12070,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2300]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12071,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12070]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2296,plain,
% 7.28/7.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.44 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_HOL_Oinverse__class_Odivide(X2,X0,X1))
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5315_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12062,plain,
% 7.28/7.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.44 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_HOL_Oinverse__class_Odivide(X2,X0,X1))
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2296]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12063,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.44 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oinverse__class_Odivide(X1,X3,X0))
% 7.28/7.44 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12062]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2293,plain,
% 7.28/7.44 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5316_2) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12056,plain,
% 7.28/7.44 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2293]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12057,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.44 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12056]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2286,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5318_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12042,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2286]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12043,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12042]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2282,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5319_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12034,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2282]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_12035,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_12034]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2260,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5328_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11990,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2260]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11991,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11990]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2252,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5330_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11974,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2252]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11975,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11974]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2245,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5331_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11960,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2245]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11961,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11960]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2238,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5332_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11946,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2238]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11947,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11946]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2225,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5335_4) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11920,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2225]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11921,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11920]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2220,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X1),X2,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5336_4) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11910,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X1),X2,X1)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2220]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11911,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11910]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2197,plain,
% 7.28/7.44 ( X0 = X1
% 7.28/7.44 | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
% 7.28/7.44 | hAPP(X2,X0) != hAPP(X2,X1) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5344_2) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11864,plain,
% 7.28/7.44 ( X0 = X1
% 7.28/7.44 | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
% 7.28/7.44 | hAPP(X2,X0) != hAPP(X2,X1) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2197]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11865,plain,
% 7.28/7.44 ( ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X2)
% 7.28/7.44 | hAPP(X0,X3) != hAPP(X0,X4)
% 7.28/7.44 | X3 = X4 ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11864]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2193,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5345_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11856,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2193]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11857,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11856]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2189,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5346_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11848,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2189]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11849,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11848]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2164,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5353_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11798,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2164]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11799,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11798]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2157,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5354_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11784,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2157]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11785,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11784]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2152,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5355_4) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11774,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2152]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11775,plain,
% 7.28/7.44 ( ~ class_Int_Onumber__ring(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11774]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2122,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5365_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11714,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2122]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11715,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11714]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2115,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5366_6) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11700,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 7.28/7.44 | ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2115]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11701,plain,
% 7.28/7.44 ( ~ class_Int_Onumber(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11700]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2112,plain,
% 7.28/7.44 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5367_2) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11694,plain,
% 7.28/7.44 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2112]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11695,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.44 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)),X2) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11694]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2102,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5371_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11674,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2102]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11675,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11674]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2094,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5373_3) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11658,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2094]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11659,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 7.28/7.44 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11658]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2092,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5375_1) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11654,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2092]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11655,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11654]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2088,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5375_5) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11646,plain,
% 7.28/7.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.44 inference(copy,[status(esa)],[c_2088]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_11647,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 7.28/7.44 inference(rewriting,[status(thm)],[c_11646]) ).
% 7.28/7.44
% 7.28/7.44 cnf(c_2086,plain,
% 7.28/7.44 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.44 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5376_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11642,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_2086]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11643,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11642]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_2082,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5376_5) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11634,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_2082]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11635,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11634]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_2060,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5382_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11590,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_2060]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11591,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11590]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_2044,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5386_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11558,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_2044]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11559,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11558]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_2031,plain,
% 7.28/7.45 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.45 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5389_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11532,plain,
% 7.28/7.45 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.45 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_2031]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11533,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.45 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11532]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_2019,plain,
% 7.28/7.45 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.45 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5392_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11508,plain,
% 7.28/7.45 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.45 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_2019]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11509,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.45 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 7.28/7.45 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11508]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_2015,plain,
% 7.28/7.45 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5394_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11500,plain,
% 7.28/7.45 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_2015]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11501,plain,
% 7.28/7.45 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11500]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_2011,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.45 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5395_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11492,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.45 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_2011]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11493,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.45 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11492]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_2006,plain,
% 7.28/7.45 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5396_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11482,plain,
% 7.28/7.45 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_2006]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11483,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11482]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1996,plain,
% 7.28/7.45 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1)),c_Int_Onumber__class_Onumber__of(X0,X1)) = X2
% 7.28/7.45 | ~ class_Int_Onumber(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5398_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11462,plain,
% 7.28/7.45 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1)),c_Int_Onumber__class_Onumber__of(X0,X1)) = X2
% 7.28/7.45 | ~ class_Int_Onumber(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1996]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11463,plain,
% 7.28/7.45 ( ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0)),c_Int_Onumber__class_Onumber__of(X1,X0)) = X2 ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11462]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1993,plain,
% 7.28/7.45 ( hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2))
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5399_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11456,plain,
% 7.28/7.45 ( hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2))
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1993]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11457,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.45 | hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11456]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1988,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5401_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11446,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1988]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11447,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11446]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1968,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5411_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11406,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1968]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11407,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11406]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1966,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5411_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11402,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1966]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11403,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11402]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1964,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5412_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11398,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1964]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11399,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11398]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1962,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5412_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11394,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1962]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11395,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11394]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1922,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5431_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11314,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1922]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11315,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11314]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1889,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5442_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11248,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1889]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11249,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11248]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1886,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5443_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11242,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1886]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11243,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11242]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1884,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5444_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11238,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1884]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11239,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11238]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1878,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5445_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11226,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1878]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11227,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11226]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1877,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5446_0) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11224,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1877]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11225,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11224]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1873,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5446_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11216,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1873]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11217,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11216]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1872,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5447_0) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11214,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1872]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11215,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11214]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1868,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5447_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11206,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1868]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11207,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11206]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1863,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5448_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11196,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1863]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11197,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11196]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1858,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5449_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11186,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1858]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11187,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11186]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1853,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5450_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11176,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1853]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11177,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11176]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1848,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5451_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11166,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1848]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11167,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11166]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1843,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5452_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11156,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1843]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11157,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11156]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1837,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5454_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11144,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1837]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11145,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11144]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1834,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5454_5) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11138,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1834]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11139,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11138]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1831,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5455_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11132,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1831]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11133,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11132]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1828,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5455_5) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11126,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1828]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11127,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11126]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1818,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5458_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11106,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1818]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11107,plain,
% 7.28/7.45 ( ~ class_Int_Onumber__ring(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11106]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1787,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5467_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11044,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1787]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11045,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X0)
% 7.28/7.45 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11044]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1783,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5468_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11036,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1783]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11037,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11036]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1777,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5470_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11024,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1777]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11025,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11024]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1773,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5471_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11016,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1773]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11017,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11016]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1767,plain,
% 7.28/7.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5475_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11004,plain,
% 7.28/7.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1767]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_11005,plain,
% 7.28/7.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_11004]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1763,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5476_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10996,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1763]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10997,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10996]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1759,plain,
% 7.28/7.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5477_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10988,plain,
% 7.28/7.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1759]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10989,plain,
% 7.28/7.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10988]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1749,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5479_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10968,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1749]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10969,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10968]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1743,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5481_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10956,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1743]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10957,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10956]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1739,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5482_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10948,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1739]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10949,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10948]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1728,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5485_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10926,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1728]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10927,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10926]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1724,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5486_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10918,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1724]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10919,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10918]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1685,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5498_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10840,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1685]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10841,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10840]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1673,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.45 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5502_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10816,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.45 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1673]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10817,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.45 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.45 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10816]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1654,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.45 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5509_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10778,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.45 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1654]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10779,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.45 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10778]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1648,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5510_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10766,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1648]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10767,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 7.28/7.45 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10766]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1644,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5511_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10758,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1644]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10759,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10758]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1635,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.45 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5513_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10740,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.45 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1635]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10741,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.45 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X0)
% 7.28/7.45 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10740]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1629,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5515_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10728,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1629]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10729,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10728]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1615,plain,
% 7.28/7.45 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 7.28/7.45 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5518_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10700,plain,
% 7.28/7.45 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 7.28/7.45 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1615]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10701,plain,
% 7.28/7.45 ( ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10700]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1601,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5523_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10672,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1601]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10673,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10672]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1565,plain,
% 7.28/7.45 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5538_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10600,plain,
% 7.28/7.45 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1565]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10601,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10600]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1540,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 7.28/7.45 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5546_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10550,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0)
% 7.28/7.45 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1540]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10551,plain,
% 7.28/7.45 ( ~ class_Int_Onumber__ring(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0),X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10550]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1530,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0),X0,X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
% 7.28/7.45 | ~ class_Int_Onumber(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5548_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10530,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0),X0,X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
% 7.28/7.45 | ~ class_Int_Onumber(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1530]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10531,plain,
% 7.28/7.45 ( ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X2,X0) = c_Int_Onumber__class_Onumber__of(X1,X0)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10530]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1526,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5549_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10522,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1526]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10523,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10522]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1520,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5551_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10510,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1520]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10511,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10510]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1509,plain,
% 7.28/7.45 ( c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 7.28/7.45 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | ~ class_Divides_Osemiring__div(X1)
% 7.28/7.45 | ~ class_Int_Onumber(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5554_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10488,plain,
% 7.28/7.45 ( c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 7.28/7.45 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | ~ class_Divides_Osemiring__div(X1)
% 7.28/7.45 | ~ class_Int_Onumber(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1509]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10489,plain,
% 7.28/7.45 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.45 | ~ class_Int_Onumber(X0)
% 7.28/7.45 | c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.45 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10488]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1506,plain,
% 7.28/7.45 ( hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2))
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5555_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10482,plain,
% 7.28/7.45 ( hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2))
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1506]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10483,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.45 | hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2)) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10482]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1504,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 7.28/7.45 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5556_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10478,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 7.28/7.45 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1504]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10479,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10478]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1501,plain,
% 7.28/7.45 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 7.28/7.45 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5556_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10472,plain,
% 7.28/7.45 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 7.28/7.45 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1501]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10473,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 7.28/7.45 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10472]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1496,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5557_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10462,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1496]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10463,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10462]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1492,plain,
% 7.28/7.45 ( c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 7.28/7.45 | ~ class_Divides_Osemiring__div(X1)
% 7.28/7.45 | ~ class_Int_Onumber(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5558_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10454,plain,
% 7.28/7.45 ( c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 7.28/7.45 | ~ class_Divides_Osemiring__div(X1)
% 7.28/7.45 | ~ class_Int_Onumber(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1492]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10455,plain,
% 7.28/7.45 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.45 | ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 7.28/7.45 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10454]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1490,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 7.28/7.45 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5560_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10450,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 7.28/7.45 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1490]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10451,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10450]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1479,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5563_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10428,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1479]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10429,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10428]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1475,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5564_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10420,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1475]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10421,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10420]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1467,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Odivide(X2,X0,X1)),X0) = X2
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5566_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10404,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Odivide(X2,X0,X1)),X0) = X2
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1467]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10405,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),X2) = X1
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10404]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1455,plain,
% 7.28/7.45 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5570_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10380,plain,
% 7.28/7.45 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1455]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10381,plain,
% 7.28/7.45 ( ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10380]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1451,plain,
% 7.28/7.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5572_0) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10372,plain,
% 7.28/7.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1451]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10373,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10372]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1423,plain,
% 7.28/7.45 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X0,X1)),c_Int_Onumber__class_Onumber__of(X0,X1),X1) = X2
% 7.28/7.45 | ~ class_Int_Onumber(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5579_4) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10316,plain,
% 7.28/7.45 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X0,X1)),c_Int_Onumber__class_Onumber__of(X0,X1),X1) = X2
% 7.28/7.45 | ~ class_Int_Onumber(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1423]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10317,plain,
% 7.28/7.45 ( ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = X2 ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10316]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1408,plain,
% 7.28/7.45 ( X0 = X1
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 7.28/7.45 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5584_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10286,plain,
% 7.28/7.45 ( X0 = X1
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 7.28/7.45 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1408]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10287,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.45 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 7.28/7.45 | X2 = X3 ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10286]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1377,plain,
% 7.28/7.45 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5596_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10224,plain,
% 7.28/7.45 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1377]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10225,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10224]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1347,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X2),X1,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5614_1) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10164,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.45 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X2),X1,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1347]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10165,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10164]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1343,plain,
% 7.28/7.45 ( 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)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5616_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10156,plain,
% 7.28/7.45 ( 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)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1343]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10157,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | 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) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10156]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1327,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0) = X3
% 7.28/7.45 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Oinverse__class_Odivide(X3,X0,X1)
% 7.28/7.45 | ~ class_Int_Onumber(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5621_5) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10124,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0) = X3
% 7.28/7.45 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Oinverse__class_Odivide(X3,X0,X1)
% 7.28/7.45 | ~ class_Int_Onumber(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1327]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10125,plain,
% 7.28/7.45 ( ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3) = X2
% 7.28/7.45 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10124]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1321,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | X2 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X3,X1)),X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X2,X0,X1) != c_Int_Onumber__class_Onumber__of(X3,X1)
% 7.28/7.45 | ~ class_Int_Onumber(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5622_5) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10112,plain,
% 7.28/7.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.45 | X2 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X3,X1)),X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X2,X0,X1) != c_Int_Onumber__class_Onumber__of(X3,X1)
% 7.28/7.45 | ~ class_Int_Onumber(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1321]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10113,plain,
% 7.28/7.45 ( ~ class_Int_Onumber(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 7.28/7.45 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.45 | X1 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X2) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10112]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1305,plain,
% 7.28/7.45 ( X0 = X1
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5629_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10080,plain,
% 7.28/7.45 ( X0 = X1
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1305]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10081,plain,
% 7.28/7.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.45 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 7.28/7.45 | X1 = X2 ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10080]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1298,plain,
% 7.28/7.45 ( c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X2)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5632_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10066,plain,
% 7.28/7.45 ( c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X2)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1298]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_10067,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.45 | c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X2) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_10066]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1235,plain,
% 7.28/7.45 ( 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)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X2) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5660_2) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_9940,plain,
% 7.28/7.45 ( 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)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X2) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1235]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_9941,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.45 | 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) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_9940]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1205,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5671_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_9880,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1205]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_9881,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.45 inference(rewriting,[status(thm)],[c_9880]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_1201,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5672_3) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_9872,plain,
% 7.28/7.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.45 inference(copy,[status(esa)],[c_1201]) ).
% 7.28/7.45
% 7.28/7.45 cnf(c_9873,plain,
% 7.28/7.45 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.45 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.28/7.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9872]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_1197,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X1),X1)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5673_3) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9864,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X1),X1)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_1197]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9865,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9864]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_1193,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5674_3) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9856,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_1193]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9857,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9856]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_1151,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5691_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9772,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_1151]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9773,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9772]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_1144,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5693_3) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9758,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_1144]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9759,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.46 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9758]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_1107,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 7.28/7.46 | X2 = X1 ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5706_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9684,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 7.28/7.46 | X2 = X1 ),
% 7.28/7.46 inference(copy,[status(esa)],[c_1107]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9685,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 7.28/7.46 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 7.28/7.46 | X1 = X0 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9684]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_1105,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.46 | X0 = X1
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 7.28/7.46 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5706_3) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9680,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.46 | X0 = X1
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 7.28/7.46 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_1105]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9681,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 7.28/7.46 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 7.28/7.46 | X0 = X1 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9680]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_1090,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5711_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9650,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_1090]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9651,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9650]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_1011,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.46 | ~ class_Power_Opower(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5738_5) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9492,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.46 | ~ class_Power_Opower(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_1011]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9493,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X0)
% 7.28/7.46 | ~ class_Power_Opower(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9492]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_992,plain,
% 7.28/7.46 ( 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)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5746_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9454,plain,
% 7.28/7.46 ( 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)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_992]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9455,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | 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) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9454]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_977,plain,
% 7.28/7.46 ( hAPP(c_Suc,X0) = X1
% 7.28/7.46 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5751_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9424,plain,
% 7.28/7.46 ( hAPP(c_Suc,X0) = X1
% 7.28/7.46 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_977]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9425,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.46 | hAPP(c_Suc,X0) = X1 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9424]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_898,plain,
% 7.28/7.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Power_Opower(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5783_5) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9266,plain,
% 7.28/7.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Power_Opower(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_898]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9267,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X0)
% 7.28/7.46 | ~ class_Power_Opower(X0)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9266]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_893,plain,
% 7.28/7.46 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.46 | ~ class_Int_Onumber(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5784_4) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9256,plain,
% 7.28/7.46 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.46 | ~ class_Int_Onumber(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_893]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9257,plain,
% 7.28/7.46 ( ~ class_Int_Onumber(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9256]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_888,plain,
% 7.28/7.46 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) != c_Int_Onumber__class_Onumber__of(X0,X1)
% 7.28/7.46 | ~ class_Int_Onumber(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5785_4) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9246,plain,
% 7.28/7.46 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) != c_Int_Onumber__class_Onumber__of(X0,X1)
% 7.28/7.46 | ~ class_Int_Onumber(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_888]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9247,plain,
% 7.28/7.46 ( ~ class_Int_Onumber(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9246]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_879,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 7.28/7.46 | hAPP(c_NthRoot_Oroot(X2),X0) != hAPP(c_NthRoot_Oroot(X2),X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5788_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9228,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 7.28/7.46 | hAPP(c_NthRoot_Oroot(X2),X0) != hAPP(c_NthRoot_Oroot(X2),X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_879]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9229,plain,
% 7.28/7.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.46 | hAPP(c_NthRoot_Oroot(X0),X1) != hAPP(c_NthRoot_Oroot(X0),X2)
% 7.28/7.46 | X1 = X2 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9228]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_839,plain,
% 7.28/7.46 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.46 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 7.28/7.46 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5806_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9148,plain,
% 7.28/7.46 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.46 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 7.28/7.46 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_839]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9149,plain,
% 7.28/7.46 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.28/7.46 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.28/7.46 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9148]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_835,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.46 | ~ class_Int_Onumber(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5807_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9140,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 7.28/7.46 | ~ class_Int_Onumber(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_835]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9141,plain,
% 7.28/7.46 ( ~ class_Int_Onumber(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9140]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_817,plain,
% 7.28/7.46 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),c_Int_Onumber__class_Onumber__of(X0,tc_nat)) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Power_Opower(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5813_5) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9104,plain,
% 7.28/7.46 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),c_Int_Onumber__class_Onumber__of(X0,tc_nat)) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Power_Opower(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_817]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9105,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X0)
% 7.28/7.46 | ~ class_Power_Opower(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9104]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_807,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 7.28/7.46 | ~ class_Int_Onumber(X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5815_4) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9084,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 7.28/7.46 | ~ class_Int_Onumber(X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_807]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_9085,plain,
% 7.28/7.46 ( ~ class_Int_Onumber(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_9084]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_761,plain,
% 7.28/7.46 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Int_Onumber(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5833_4) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8992,plain,
% 7.28/7.46 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Int_Onumber(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_761]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8993,plain,
% 7.28/7.46 ( ~ class_Int_Onumber(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8992]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_756,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Int_Onumber(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5834_4) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8982,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Int_Onumber(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_756]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8983,plain,
% 7.28/7.46 ( ~ class_Int_Onumber(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8982]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_738,plain,
% 7.28/7.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Power_Opower(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5843_5) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8946,plain,
% 7.28/7.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Power_Opower(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_738]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8947,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X0)
% 7.28/7.46 | ~ class_Power_Opower(X0)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8946]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_733,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | ~ class_Power_Opower(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5844_4) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8936,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | ~ class_Power_Opower(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_733]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8937,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X0)
% 7.28/7.46 | ~ class_Power_Opower(X0)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8936]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_701,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5853_3) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8872,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_701]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8873,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 7.28/7.46 | X1 = X2 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8872]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_649,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5876_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8768,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_649]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8769,plain,
% 7.28/7.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 7.28/7.46 | X0 = X1 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8768]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_606,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Int_Onumber__ring(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5891_3) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8682,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Int_Onumber__ring(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_606]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8683,plain,
% 7.28/7.46 ( ~ class_Int_Onumber__ring(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8682]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_600,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X0
% 7.28/7.46 | ~ class_Int_Onumber__ring(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5893_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8670,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X0
% 7.28/7.46 | ~ class_Int_Onumber__ring(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_600]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8671,plain,
% 7.28/7.46 ( ~ class_Int_Onumber__ring(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = X1 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8670]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_594,plain,
% 7.28/7.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Power_Opower(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5894_5) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8658,plain,
% 7.28/7.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Power_Opower(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_594]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8659,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Omult__zero(X0)
% 7.28/7.46 | ~ class_Power_Opower(X0)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8658]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_576,plain,
% 7.28/7.46 ( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5903_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8622,plain,
% 7.28/7.46 ( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_576]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8623,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.46 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8622]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_573,plain,
% 7.28/7.46 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5904_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8616,plain,
% 7.28/7.46 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_573]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8617,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.46 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8616]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_533,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5925_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8536,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_533]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8537,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8536]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_495,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5952_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8460,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_495]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8461,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8460]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_482,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)
% 7.28/7.46 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5957_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8434,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)
% 7.28/7.46 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_482]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8435,plain,
% 7.28/7.46 ( ~ class_Int_Onumber__ring(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8434]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_394,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 7.28/7.46 | X1 = X2
% 7.28/7.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6005_0) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8258,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 7.28/7.46 | X1 = X2
% 7.28/7.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_394]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8259,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 7.28/7.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | X1 = X2 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8258]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_370,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6014_3) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8210,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_370]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8211,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 7.28/7.46 | X1 = X2 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8210]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_363,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6023_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8196,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_363]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8197,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8196]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_341,plain,
% 7.28/7.46 ( X0 = c_HOL_Oone__class_Oone(X1)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6040_3) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8152,plain,
% 7.28/7.46 ( X0 = c_HOL_Oone__class_Oone(X1)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_341]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8153,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 7.28/7.46 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8152]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_302,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6057_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8074,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_302]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8075,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8074]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_299,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6058_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8068,plain,
% 7.28/7.46 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_299]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_8069,plain,
% 7.28/7.46 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.28/7.46 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.46 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_8068]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3361,negated_conjecture,
% 7.28/7.46 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_4164,negated_conjecture,
% 7.28/7.46 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3361]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_4168,negated_conjecture,
% 7.28/7.46 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_4164]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_4169,negated_conjecture,
% 7.28/7.46 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_4168]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_4170,negated_conjecture,
% 7.28/7.46 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_4169]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14192,negated_conjecture,
% 7.28/7.46 ( ~ c_Fun_Oinj__on(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_A,tc_nat,tc_nat) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_4170]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3358,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X4,hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X1)) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4992_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14186,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X4,hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X1)) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3358]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14187,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X7))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 7.28/7.46 | X5 = X7 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14186]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3355,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X4,hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X1)) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4993_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14180,plain,
% 7.28/7.46 ( X0 = X1
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X4,hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X1)) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3355]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14181,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X7))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 7.28/7.46 | X6 = X7 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14180]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3353,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X2)) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4994_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14176,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X12),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X2)) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3353]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14177,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X7))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X10,X0,X11,X2,X3,X12,X4) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14176]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3351,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X5))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X1,X0,X8,X9,X2,X3,X10,X4) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4995_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14172,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),X5))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X1,X0,X8,X9,X2,X3,X10,X4) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3351]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3349,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4996_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14168,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3349]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14169,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X2,X8,X0,X9,X3,X4,X10,X5) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14168]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3347,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X4
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0,X8,X9,X10,X1,X2,X11,X3) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4997_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14164,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X4
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0,X8,X9,X10,X1,X2,X11,X3) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3347]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14165,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X2,X8,X9,X10,X3,X4,X11,X5)
% 7.28/7.46 | hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X6 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14164]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3345,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X5
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0,X8,X9,X10,X1,X2,X11,X3) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_4998_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14160,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X5
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0,X8,X9,X10,X1,X2,X11,X3) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3345]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14161,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X2,X8,X9,X10,X3,X4,X11,X5)
% 7.28/7.46 | hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X7 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14160]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3337,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X2,X0,X10,X11,X3,X4,X12,X5) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5001_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14144,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X2,X0,X10,X11,X3,X4,X12,X5) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3337]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3331,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X0,X6,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X2),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X12))))) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5003_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14132,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X0,X6,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),X2),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X12))))) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3331]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14133,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X6)))))
% 7.28/7.46 | hBOOL(hAPP(hAPP(X0,X1),X5))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X0,X10,X11,X2,X3,X12,X4) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14132]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3329,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X2)) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5004_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14128,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X2)) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3329]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14129,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X5))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X9,X0,X10,X1,X2,X11,X3) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14128]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3327,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X6))))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X0,X10,X11,X2,X3,X12,X4) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5005_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14124,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X6))))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X0,X10,X11,X2,X3,X12,X4) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3327]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3324,plain,
% 7.28/7.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X6,X3),hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),hAPP(X7,X3)),X0))) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5006_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14118,plain,
% 7.28/7.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X6,X3),hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),hAPP(X7,X3)),X0))) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3324]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14119,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X1)),X6)))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X10,X0,X5,X2,X3,X11,X4)
% 7.28/7.46 | X6 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14118]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3322,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5007_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14114,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3322]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14115,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X1,X7,X8,X0,X9,X2,X3,X10,X4) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14114]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3320,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X4
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X4,X0,X7,X8,X9,X1,X2,X10,X3) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5008_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14110,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X4
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X4,X0,X7,X8,X9,X1,X2,X10,X3) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3320]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14111,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = X2 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14110]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3318,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X6)),c_HOL_Ozero__class_Ozero(tc_nat))))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X10,X0,X5,X2,X3,X11,X4) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5009_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14106,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X6)),c_HOL_Ozero__class_Ozero(tc_nat))))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X10,X0,X5,X2,X3,X11,X4) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3318]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3313,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X6)),X7)))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X10,X0,X11,X5,X2,X3,X12,X4) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5011_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14096,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X6)),X7)))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X10,X0,X11,X5,X2,X3,X12,X4) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3313]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3308,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X9,X10,X2,X3,X11,X4) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5013_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14086,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X9,X10,X2,X3,X11,X4) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3308]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3306,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X3
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X6,X7,X8,X9,X0,X1,X10,X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5014_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14082,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X3
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X6,X7,X8,X9,X0,X1,X10,X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3306]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14083,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X6,X7,X8,X9,X2,X3,X10,X4)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X5 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14082]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3304,plain,
% 7.28/7.46 ( hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),hAPP(X4,X5)),X6)) = hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),X6))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X7,X4,X8,X9,X10,X11,X0,X1,X2,X12,X3) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5015_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14078,plain,
% 7.28/7.46 ( hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),hAPP(X4,X5)),X6)) = hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X5),X6))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X7,X4,X8,X9,X10,X11,X0,X1,X2,X12,X3) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3304]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14079,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X1,X11)),X12)) = hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),X12)) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14078]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3302,plain,
% 7.28/7.46 ( hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X10,X0,X1,X2,X11,X3) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5016_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14074,plain,
% 7.28/7.46 ( hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X10,X0,X1,X2,X11,X3) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3302]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14075,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14074]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3268,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X4)),X5) = hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),X5))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X8,X9,X10,X11,X3,X0,X1,X12,X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5025_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14006,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X4)),X5) = hAPP(X3,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),X5))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X8,X9,X10,X11,X3,X0,X1,X12,X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3268]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14007,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12) = hAPP(X6,hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),X12)) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14006]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3266,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X10,X3,X0,X1,X11,X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5026_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14002,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X10,X3,X0,X1,X11,X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3266]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_14003,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X11),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_14002]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3103,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X0,hAPP(X10,X1)),X2)) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5067_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13676,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X0,hAPP(X10,X1)),X2)) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3103]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13677,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 7.28/7.46 | hBOOL(hAPP(hAPP(X0,X2),X3))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13676]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3098,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X3
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X8,X9,X0,X1,X10,X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5069_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13666,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X3
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X8,X9,X0,X1,X10,X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3098]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13667,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X2 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13666]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3095,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X10,X2))) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5070_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13660,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X10,X2))) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3095]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13661,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 7.28/7.46 | hBOOL(hAPP(hAPP(X0,X1),X3))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13660]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3090,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,hAPP(hAPP(X0,X2),X3))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X1,X10,X0,X11,X12) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5072_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13650,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,hAPP(hAPP(X0,X2),X3))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X1,X10,X0,X11,X12) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3090]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13651,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X12)) = hAPP(X6,hAPP(hAPP(X8,X11),X12)) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13650]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3088,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,hAPP(hAPP(X0,X2),X3))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X10,X11,X0,X1,X12) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5073_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13646,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,hAPP(hAPP(X0,X2),X3))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X10,X11,X0,X1,X12) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3088]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13647,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X9,X12)) = hAPP(X9,hAPP(hAPP(X8,X11),X12)) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13646]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3081,plain,
% 7.28/7.46 ( hAPP(X0,X1) = hAPP(X2,X3)
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X2,X5,X6,X7,X8,X9,X3,X10,X0,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X8,X1),X5)) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5075_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13632,plain,
% 7.28/7.46 ( hAPP(X0,X1) = hAPP(X2,X3)
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X2,X5,X6,X7,X8,X9,X3,X10,X0,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X8,X1),X5)) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3081]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13633,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 7.28/7.46 | hAPP(X10,X1) = hAPP(X4,X8) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13632]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3079,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X2)) = hAPP(hAPP(X0,X2),X2)
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X8,X1,X9,X0,X10,X11) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5076_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13628,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X2)) = hAPP(hAPP(X0,X2),X2)
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X8,X1,X9,X0,X10,X11) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3079]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13629,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X11)) = hAPP(hAPP(X8,X11),X11) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13628]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3076,plain,
% 7.28/7.46 ( hAPP(X0,X1) = X2
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X8,X9,X2,X10,X0,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X8,X5),X1)) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5077_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13622,plain,
% 7.28/7.46 ( hAPP(X0,X1) = X2
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X8,X9,X2,X10,X0,X11)
% 7.28/7.46 | ~ hBOOL(hAPP(hAPP(X8,X5),X1)) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3076]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13623,plain,
% 7.28/7.46 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 7.28/7.46 | hAPP(X10,X2) = X8 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13622]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3073,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 7.28/7.46 | hAPP(X10,X1) != hAPP(X4,X8) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5078_2) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13616,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 7.28/7.46 | hAPP(X10,X1) != hAPP(X4,X8) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3073]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3071,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,hAPP(X8,X2),X9,X8,X10) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5079_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13612,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,hAPP(X8,X2),X9,X8,X10) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3071]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3069,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X3,X2)) = X2
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X3,X10,X0,X1,X11) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5080_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13608,plain,
% 7.28/7.46 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X3,X2)) = X2
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X3,X10,X0,X1,X11) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3069]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13609,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X6,X11)) = X11 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13608]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3067,plain,
% 7.28/7.46 ( hAPP(X0,X1) = hAPP(hAPP(X2,X1),hAPP(X3,X1))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X0,X10,X2,X3,X11) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5081_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13604,plain,
% 7.28/7.46 ( hAPP(X0,X1) = hAPP(hAPP(X2,X1),hAPP(X3,X1))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X0,X10,X2,X3,X11) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3067]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13605,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(X6,X11) = hAPP(hAPP(X8,X11),hAPP(X9,X11)) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13604]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3065,plain,
% 7.28/7.46 ( hAPP(X0,X1) = X1
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,hAPP(X0,X1),X4,X5,X6,X7,X8,X9,X0,X10) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5082_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13600,plain,
% 7.28/7.46 ( hAPP(X0,X1) = X1
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,hAPP(X0,X1),X4,X5,X6,X7,X8,X9,X0,X10) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3065]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13601,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(X2,X3),X4,X5,X6,X7,X8,X9,X2,X10)
% 7.28/7.46 | hAPP(X2,X3) = X3 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13600]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3063,plain,
% 7.28/7.46 ( hAPP(X0,hAPP(X0,X1)) = hAPP(X0,X1)
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X4,X5,X6,X7,X8,X9,X10,X0,X11) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5083_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13596,plain,
% 7.28/7.46 ( hAPP(X0,hAPP(X0,X1)) = hAPP(X0,X1)
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X4,X5,X6,X7,X8,X9,X10,X0,X11) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3063]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13597,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(X9,hAPP(X9,X11)) = hAPP(X9,X11) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13596]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_3061,plain,
% 7.28/7.46 ( hAPP(X0,X1) = X1
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X0,X10) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5084_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13592,plain,
% 7.28/7.46 ( hAPP(X0,X1) = X1
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X0,X10) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_3061]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13593,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 7.28/7.46 | hAPP(X9,X2) = X2 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13592]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_2967,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X5)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X5))
% 7.28/7.46 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X6,X3,X7,X8,X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5108_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13404,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X5)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X5))
% 7.28/7.46 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X6,X3,X7,X8,X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_2967]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13405,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X7)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X8)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),X7),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X8)) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13404]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_2961,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X0)),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4))) = hAPP(X3,X0)
% 7.28/7.46 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5110_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13392,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X0)),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4))) = hAPP(X3,X0)
% 7.28/7.46 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_2961]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13393,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X0)),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7))) = hAPP(X3,X0) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13392]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_2959,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.46 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5111_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13388,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.46 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_2959]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13389,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X7)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),X7),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13388]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_2957,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4)) = X0
% 7.28/7.46 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5112_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13384,plain,
% 7.28/7.46 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(X3,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4)) = X0
% 7.28/7.46 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_2957]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13385,plain,
% 7.28/7.46 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 7.28/7.46 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X6),hAPP(X3,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7)) = X0 ),
% 7.28/7.46 inference(rewriting,[status(thm)],[c_13384]) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_2947,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X3)))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__semidom(X2,X1,X3,X4,X5,X0,X6) ),
% 7.28/7.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5115_1) ).
% 7.28/7.46
% 7.28/7.46 cnf(c_13364,plain,
% 7.28/7.46 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X3)))
% 7.28/7.46 | ~ c_Ring__and__Field_Oordered__semidom(X2,X1,X3,X4,X5,X0,X6) ),
% 7.28/7.46 inference(copy,[status(esa)],[c_2947]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2945,plain,
% 7.28/7.47 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.28/7.47 | ~ c_Ring__and__Field_Oordered__semidom(X2,X4,X3,X5,X6,X0,X7) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5116_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13360,plain,
% 7.28/7.47 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 7.28/7.47 | ~ c_Ring__and__Field_Oordered__semidom(X2,X4,X3,X5,X6,X0,X7) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2945]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2943,plain,
% 7.28/7.47 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 7.28/7.47 | ~ hBOOL(hAPP(hAPP(X4,X2),X1)) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5117_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13356,plain,
% 7.28/7.47 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 7.28/7.47 | ~ hBOOL(hAPP(hAPP(X4,X2),X1)) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2943]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13357,plain,
% 7.28/7.47 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.47 | ~ c_Ring__and__Field_Oordered__semidom(X3,X2,X1,X4,X0,X5,X6) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13356]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2941,plain,
% 7.28/7.47 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 7.28/7.47 | ~ hBOOL(hAPP(hAPP(X5,X2),X1)) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5118_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13352,plain,
% 7.28/7.47 ( ~ c_Ring__and__Field_Oordered__semidom(X0,X1,X2,X3,X4,X5,X6)
% 7.28/7.47 | ~ hBOOL(hAPP(hAPP(X5,X2),X1)) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2941]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13353,plain,
% 7.28/7.47 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.47 | ~ c_Ring__and__Field_Oordered__semidom(X3,X2,X1,X4,X5,X0,X6) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13352]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2939,plain,
% 7.28/7.47 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.47 | ~ c_Ring__and__Field_Oordered__semidom(X3,X1,X2,X4,X5,X0,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5119_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13348,plain,
% 7.28/7.47 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.47 | ~ c_Ring__and__Field_Oordered__semidom(X3,X1,X2,X4,X5,X0,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2939]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2937,plain,
% 7.28/7.47 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.47 | ~ c_Ring__and__Field_Oordered__semidom(X3,X1,X2,X4,X0,X5,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5120_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13344,plain,
% 7.28/7.47 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 7.28/7.47 | ~ c_Ring__and__Field_Oordered__semidom(X3,X1,X2,X4,X0,X5,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2937]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2935,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,hAPP(hAPP(X2,X1),X3)),hAPP(hAPP(X2,X1),X3))) = hAPP(hAPP(X2,X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X3)))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5121_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13340,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,hAPP(hAPP(X2,X1),X3)),hAPP(hAPP(X2,X1),X3))) = hAPP(hAPP(X2,X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X3)))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2935]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13341,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X7))) = hAPP(hAPP(X2,X6),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7))) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13340]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2933,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X4))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5122_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13336,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X4))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2933]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13337,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X8),hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X9)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13336]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2931,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) = hAPP(hAPP(X3,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X1),X2))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X3,X0,X5,X6,X7) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5123_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13332,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) = hAPP(hAPP(X3,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X1),X2))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X3,X0,X5,X6,X7) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2931]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13333,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X7)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13332]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2929,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5124_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13328,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2929]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13329,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),hAPP(hAPP(X0,X8),X9)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),hAPP(hAPP(X0,X7),X9)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13328]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2927,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5125_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13324,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2927]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13325,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X8),X9))) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13324]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2925,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5126_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13320,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2925]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13321,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),hAPP(hAPP(X1,X7),X9)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13320]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2923,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5127_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13316,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2923]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13317,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13316]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2919,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5129_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13308,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2919]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13309,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13308]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2917,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5130_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13304,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2917]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13305,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X8)) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X7),X8)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13304]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2915,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5131_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13300,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2915]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13301,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13300]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2913,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5132_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13296,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2913]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13297,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13296]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2911,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5133_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13292,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2911]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13293,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13292]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2909,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5134_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13288,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2909]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13289,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13288]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2907,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5135_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13284,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2907]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13285,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X7),X8)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13284]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2899,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5139_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13268,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2899]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13269,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13268]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2895,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5141_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13260,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2895]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13261,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13260]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2893,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5142_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13256,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2893]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13257,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13256]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2891,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),hAPP(c_Suc,X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5143_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13252,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),hAPP(c_Suc,X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2891]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13253,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13252]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2889,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5144_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13248,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2889]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13249,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13248]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2887,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5145_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13244,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2887]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13245,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13244]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2885,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5146_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13240,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2885]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13241,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13240]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2879,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),hAPP(c_Suc,X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5149_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13228,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),hAPP(c_Suc,X3))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2879]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13229,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13228]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2877,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X2,X4,X5,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5150_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13224,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X2,X4,X5,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2877]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13225,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,X6),X6) = hAPP(hAPP(X2,X6),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13224]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2871,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5153_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13212,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2871]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13213,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13212]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2869,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5154_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13208,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2869]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13209,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13208]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2867,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X2,X3,X0,X4,X5,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5155_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13204,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X2,X3,X0,X4,X5,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2867]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13205,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X2,X6),c_HOL_Oone__class_Oone(tc_nat)) = X6 ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13204]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2865,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5156_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13200,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2865]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13201,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13200]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2857,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X1
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5160_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13184,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X1
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2857]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13185,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13184]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2855,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X2
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5161_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13180,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X2
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2855]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13181,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13180]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2853,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X2
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5162_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13176,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X2
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2853]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13177,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13176]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2851,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X1
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5163_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13172,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X1
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2851]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13173,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13172]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2849,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X1
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5164_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13168,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X1
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2849]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13169,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13168]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2847,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X2
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5165_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13164,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),X2) = X2
% 7.28/7.47 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2847]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13165,plain,
% 7.28/7.47 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 7.28/7.47 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13164]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2845,plain,
% 7.28/7.47 ( c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5166_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13160,plain,
% 7.28/7.47 ( c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2845]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13161,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.47 | c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13160]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2843,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)),X1)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.47 | ~ class_Int_Onumber__ring(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5167_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13156,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)),X1)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.47 | ~ class_Int_Onumber__ring(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2843]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13157,plain,
% 7.28/7.47 ( ~ class_Int_Onumber__ring(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)),X1)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13156]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2841,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5168_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13152,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2841]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13153,plain,
% 7.28/7.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13152]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2839,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X0,X3),hAPP(hAPP(c_Power_Opower_Opower(X2,X0,X3),X1),X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(X2,X0,X3),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4)))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X2,X0,X3) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5169_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13148,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X0,X3),hAPP(hAPP(c_Power_Opower_Opower(X2,X0,X3),X1),X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(X2,X0,X3),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4)))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X2,X0,X3) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2839]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13149,plain,
% 7.28/7.47 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 7.28/7.47 | hAPP(hAPP(X1,X3),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4))) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13148]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2835,plain,
% 7.28/7.47 ( hBOOL(hAPP(X0,X1))
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.47 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X1),X2,tc_nat)))
% 7.28/7.47 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5170_3) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13140,plain,
% 7.28/7.47 ( hBOOL(hAPP(X0,X1))
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.47 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X1),X2,tc_nat)))
% 7.28/7.47 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2835]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13141,plain,
% 7.28/7.47 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.47 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 7.28/7.47 | hBOOL(hAPP(X2,X0))
% 7.28/7.47 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13140]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2833,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X3),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5171_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13136,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X3),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2833]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13137,plain,
% 7.28/7.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X3),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13136]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2831,plain,
% 7.28/7.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5172_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13132,plain,
% 7.28/7.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2831]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13133,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13132]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2829,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X3)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5173_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13128,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X3)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2829]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13129,plain,
% 7.28/7.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X3)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13128]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2827,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X0
% 7.28/7.47 | ~ c_Ring__and__Field_Osemiring__1(X0,X1,X3,X4,X2) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5174_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13124,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X0
% 7.28/7.47 | ~ c_Ring__and__Field_Osemiring__1(X0,X1,X3,X4,X2) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2827]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13125,plain,
% 7.28/7.47 ( ~ c_Ring__and__Field_Osemiring__1(X0,X1,X2,X3,X4)
% 7.28/7.47 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X4),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X0 ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13124]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2825,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X3
% 7.28/7.47 | ~ c_Ring__and__Field_Osemiring__1(X0,X1,X3,X4,X2) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5175_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13120,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X3
% 7.28/7.47 | ~ c_Ring__and__Field_Osemiring__1(X0,X1,X3,X4,X2) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2825]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13121,plain,
% 7.28/7.47 ( ~ c_Ring__and__Field_Osemiring__1(X0,X1,X2,X3,X4)
% 7.28/7.47 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X4),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = X2 ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13120]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2823,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5176_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13116,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2823]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13117,plain,
% 7.28/7.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.47 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13116]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2821,plain,
% 7.28/7.47 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5177_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13112,plain,
% 7.28/7.47 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2821]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13113,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.47 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13112]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2819,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),X4)),hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),X5)) = hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X5))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5178_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13108,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),X4)),hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),X5)) = hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X5))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2819]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13109,plain,
% 7.28/7.47 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X5)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X5)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13108]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2817,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5179_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13104,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2817]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13105,plain,
% 7.28/7.47 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 7.28/7.47 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X4)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13104]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2815,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5180_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13100,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2815]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13101,plain,
% 7.28/7.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13100]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2813,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5181_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13096,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2813]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13097,plain,
% 7.28/7.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.47 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13096]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2811,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4)
% 7.28/7.47 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5182_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13092,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4)
% 7.28/7.47 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2811]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13093,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Osemiring(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13092]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2809,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X5) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X4),X5))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5183_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13088,plain,
% 7.28/7.47 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X5) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X4),X5))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2809]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13089,plain,
% 7.28/7.47 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 7.28/7.47 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X5) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X4),X5)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13088]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2807,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),X4)),X3) = hAPP(hAPP(X0,X3),hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),X4))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5184_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13084,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),X4)),X3) = hAPP(hAPP(X0,X3),hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),X4))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2807]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13085,plain,
% 7.28/7.47 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X3) = hAPP(hAPP(X1,X3),hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13084]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2802,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,X2))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5187_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13074,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,X2))
% 7.28/7.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2802]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13075,plain,
% 7.28/7.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,X2)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13074]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2800,plain,
% 7.28/7.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5188_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13070,plain,
% 7.28/7.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2800]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13071,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13070]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2797,plain,
% 7.28/7.47 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5189_2) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13064,plain,
% 7.28/7.47 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2797]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13065,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.47 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13064]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2795,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),X4)),X3) = hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),hAPP(c_Suc,X4))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5190_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13060,plain,
% 7.28/7.47 ( hAPP(hAPP(X0,hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),X4)),X3) = hAPP(hAPP(c_Power_Opower_Opower(X1,X0,X2),X3),hAPP(c_Suc,X4))
% 7.28/7.47 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2795]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13061,plain,
% 7.28/7.47 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 7.28/7.47 | hAPP(hAPP(X1,hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),X4)),X3) = hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),hAPP(c_Suc,X4)) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13060]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2793,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)))
% 7.28/7.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5191_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13056,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)))
% 7.28/7.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2793]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13057,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13056]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2790,plain,
% 7.28/7.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X1)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5192_2) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13050,plain,
% 7.28/7.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X1)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2790]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13051,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 7.28/7.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13050]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2787,plain,
% 7.28/7.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X1)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5193_2) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13044,plain,
% 7.28/7.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X1)
% 7.28/7.47 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2787]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13045,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),X0)
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13044]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2786,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_HOL_Oinverse__class_Oinverse(X1,X0))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5195_0) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13042,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_HOL_Oinverse__class_Oinverse(X1,X0))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.47 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2786]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2783,plain,
% 7.28/7.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2)),c_HOL_Oinverse__class_Oinverse(X0,X1))),c_HOL_Oinverse__class_Oinverse(X2,X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),c_HOL_Oinverse__class_Oinverse(X2,X1))
% 7.28/7.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5195_3) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13036,plain,
% 7.28/7.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2)),c_HOL_Oinverse__class_Oinverse(X0,X1))),c_HOL_Oinverse__class_Oinverse(X2,X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),c_HOL_Oinverse__class_Oinverse(X2,X1))
% 7.28/7.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2783]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13037,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),c_HOL_Oinverse__class_Oinverse(X1,X0))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 7.28/7.47 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13036]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2781,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)))
% 7.28/7.47 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5196_1) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13032,plain,
% 7.28/7.47 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)))
% 7.28/7.47 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2781]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13033,plain,
% 7.28/7.47 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.28/7.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))) ),
% 7.28/7.47 inference(rewriting,[status(thm)],[c_13032]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2780,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.47 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X4,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0))
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.47 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5197_0) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13030,plain,
% 7.28/7.47 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.47 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X4,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0))
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.47 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2780]) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_2777,plain,
% 7.28/7.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1)),c_HOL_Oinverse__class_Odivide(X4,X2,X1))
% 7.28/7.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5197_3) ).
% 7.28/7.47
% 7.28/7.47 cnf(c_13024,plain,
% 7.28/7.47 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.47 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1)),c_HOL_Oinverse__class_Odivide(X4,X2,X1))
% 7.28/7.47 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.47 inference(copy,[status(esa)],[c_2777]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_13025,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.48 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X4,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0))
% 7.28/7.48 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_13024]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2775,plain,
% 7.28/7.48 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5198_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_13020,plain,
% 7.28/7.48 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2775]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_13021,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_13020]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2755,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.48 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 7.28/7.48 | X2 = X4
% 7.28/7.48 | X1 = X3 ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5202_0) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12980,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.48 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 7.28/7.48 | X2 = X4
% 7.28/7.48 | X1 = X3 ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2755]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2751,plain,
% 7.28/7.48 ( X0 = X1
% 7.28/7.48 | X2 = X3
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X2))
% 7.28/7.48 | ~ class_Int_Onumber__ring(X4)
% 7.28/7.48 | ~ class_Ring__and__Field_Oidom(X4) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5202_4) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12972,plain,
% 7.28/7.48 ( X0 = X1
% 7.28/7.48 | X2 = X3
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X2))
% 7.28/7.48 | ~ class_Int_Onumber__ring(X4)
% 7.28/7.48 | ~ class_Ring__and__Field_Oidom(X4) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2751]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12973,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.48 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 7.28/7.48 | X1 = X3
% 7.28/7.48 | X2 = X4 ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12972]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2736,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 7.28/7.48 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.48 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5206_0) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12942,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 7.28/7.48 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.48 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2736]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2733,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2))),c_HOL_Oinverse__class_Oinverse(X2,X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),c_HOL_Oinverse__class_Oinverse(X2,X1))
% 7.28/7.48 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5206_3) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12936,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2))),c_HOL_Oinverse__class_Oinverse(X2,X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),c_HOL_Oinverse__class_Oinverse(X2,X1))
% 7.28/7.48 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2733]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12937,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),c_HOL_Oinverse__class_Oinverse(X2,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0))
% 7.28/7.48 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12936]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2730,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5207_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12930,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2730]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12931,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.48 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12930]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2727,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5208_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12924,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2727]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12925,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12924]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2709,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 7.28/7.48 | X1 = X3
% 7.28/7.48 | X0 = X2 ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5212_0) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12888,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 7.28/7.48 | X1 = X3
% 7.28/7.48 | X0 = X2 ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2709]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2707,plain,
% 7.28/7.48 ( X0 = X1
% 7.28/7.48 | X2 = X3
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5212_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12884,plain,
% 7.28/7.48 ( X0 = X1
% 7.28/7.48 | X2 = X3
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2707]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12885,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 7.28/7.48 | X0 = X2
% 7.28/7.48 | X1 = X3 ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12884]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2691,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,X2))
% 7.28/7.48 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5215_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12852,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,X2))
% 7.28/7.48 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2691]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12853,plain,
% 7.28/7.48 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(c_Suc,X2)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12852]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2689,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5216_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12848,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2689]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12849,plain,
% 7.28/7.48 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12848]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2687,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5217_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12844,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2687]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12845,plain,
% 7.28/7.48 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12844]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2685,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5219_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12840,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2685]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12841,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12840]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2682,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.48 | ~ class_Int_Onumber(X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5220_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12834,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.48 | ~ class_Int_Onumber(X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2682]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12835,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Osemiring(X0)
% 7.28/7.48 | ~ class_Int_Onumber(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12834]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2651,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0))
% 7.28/7.48 | ~ class_Int_Onumber(X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5226_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12772,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0))
% 7.28/7.48 | ~ class_Int_Onumber(X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2651]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12773,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Osemiring(X0)
% 7.28/7.48 | ~ class_Int_Onumber(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12772]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2634,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5229_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12738,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2634]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12739,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 7.28/7.48 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12738]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2631,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5230_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12732,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2631]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12733,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 7.28/7.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12732]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2601,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X2,X0)),X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5235_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12672,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X2,X0)),X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2601]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12673,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X2,X0)),X1) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12672]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2573,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5241_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12616,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2573]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12617,plain,
% 7.28/7.48 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12616]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2569,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5243_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12608,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2569]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12609,plain,
% 7.28/7.48 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12608]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2538,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)),X1),X1)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5248_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12546,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)),X1),X1)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2538]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12547,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12546]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2535,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0),X2,X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5249_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12540,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0),X2,X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2535]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12541,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0),X2,X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12540]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2533,plain,
% 7.28/7.48 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1))) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5250_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12536,plain,
% 7.28/7.48 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1))) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2533]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12537,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1))) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12536]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2513,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 7.28/7.48 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5254_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12496,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 7.28/7.48 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2513]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12497,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.48 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12496]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2511,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5255_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12492,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2511]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12493,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12492]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2509,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5256_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12488,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2509]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12489,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12488]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2507,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5257_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12484,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2507]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12485,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12484]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2505,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5258_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12480,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2505]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12481,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12480]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2503,plain,
% 7.28/7.48 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5259_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12476,plain,
% 7.28/7.48 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2503]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12477,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12476]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2481,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5263_4) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12432,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2481]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12433,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12432]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2479,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X1),tc_nat) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5264_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12428,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X1),tc_nat) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2479]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12429,plain,
% 7.28/7.48 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X2),tc_nat)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12428]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2453,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5269_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12376,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2453]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12377,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12376]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2449,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5270_3) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12368,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2449]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12369,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12368]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2433,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5273_3) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12336,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2433]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12337,plain,
% 7.28/7.48 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12336]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2429,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5274_3) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12328,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2429]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12329,plain,
% 7.28/7.48 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12328]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2416,plain,
% 7.28/7.48 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))
% 7.28/7.48 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5278_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12302,plain,
% 7.28/7.48 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2))
% 7.28/7.48 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2416]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12303,plain,
% 7.28/7.48 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.28/7.48 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12302]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2414,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5281_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12298,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2414]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12299,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12298]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2412,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5282_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12294,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2412]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12295,plain,
% 7.28/7.48 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12294]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2406,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5285_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12282,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2406]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12283,plain,
% 7.28/7.48 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12282]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2404,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5286_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12278,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2404]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12279,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12278]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2402,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5287_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12274,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2402]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12275,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12274]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2400,plain,
% 7.28/7.48 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)),X1)
% 7.28/7.48 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5288_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12270,plain,
% 7.28/7.48 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)),X1)
% 7.28/7.48 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2400]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12271,plain,
% 7.28/7.48 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.48 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)),X1) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12270]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2379,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5293_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12228,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2379]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12229,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.48 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12228]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2376,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5294_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12222,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)) != c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2376]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12223,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.48 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12222]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2374,plain,
% 7.28/7.48 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X3),X3)),X3)
% 7.28/7.48 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5295_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12218,plain,
% 7.28/7.48 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X3),X3)),X3)
% 7.28/7.48 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2374]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12219,plain,
% 7.28/7.48 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 7.28/7.48 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X3),X3)),X3) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12218]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2323,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5304_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12116,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2323]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12117,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12116]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2319,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5305_3) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12108,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2319]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12109,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12108]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2307,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5308_3) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12084,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2307]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12085,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12084]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2305,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5312_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12080,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2305]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12081,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12080]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2290,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X3),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Oinverse__class_Odivide(X2,X0,X1)),X3)
% 7.28/7.48 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5317_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12050,plain,
% 7.28/7.48 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.48 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X3),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Oinverse__class_Odivide(X2,X0,X1)),X3)
% 7.28/7.48 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2290]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12051,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.48 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0)),X2)
% 7.28/7.48 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12050]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2280,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0)) = c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5320_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12030,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0)) = c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2280]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12031,plain,
% 7.28/7.48 ( ~ class_RealVector_Oreal__normed__field(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0)) = c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12030]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2278,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0)) = c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5321_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12026,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0)) = c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 7.28/7.48 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2278]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12027,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),c_HOL_Oinverse__class_Odivide(X3,X2,X0)) = c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12026]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2276,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5322_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12022,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2276]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12023,plain,
% 7.28/7.48 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12022]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2272,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5324_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12014,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2272]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12015,plain,
% 7.28/7.48 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12014]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2270,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4)) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5325_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12010,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4)) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2270]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12011,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4))
% 7.28/7.48 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12010]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2268,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5326_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12006,plain,
% 7.28/7.48 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2)
% 7.28/7.48 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2268]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_12007,plain,
% 7.28/7.48 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.48 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_12006]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2264,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5327_3) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11998,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2264]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11999,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_11998]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2256,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5329_3) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11982,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2256]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11983,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_11982]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2237,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5333_0) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11944,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2237]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2234,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5333_3) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11938,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2234]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11939,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_11938]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2233,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5334_0) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11936,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2233]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2230,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5334_3) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11930,plain,
% 7.28/7.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2230]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11931,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.48 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_11930]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2218,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5337_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11906,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2218]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11907,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_11906]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2214,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.48 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5339_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11898,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.48 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2214]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11899,plain,
% 7.28/7.48 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_11898]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2212,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5340_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11894,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2212]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11895,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_11894]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2210,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5341_1) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11890,plain,
% 7.28/7.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 7.28/7.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.48 inference(copy,[status(esa)],[c_2210]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11891,plain,
% 7.28/7.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 7.28/7.48 inference(rewriting,[status(thm)],[c_11890]) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_2183,plain,
% 7.28/7.48 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 7.28/7.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 7.28/7.48 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5348_2) ).
% 7.28/7.48
% 7.28/7.48 cnf(c_11836,plain,
% 7.28/7.48 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2183]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11837,plain,
% 7.28/7.49 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11836]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2178,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 7.28/7.49 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5350_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11826,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 7.28/7.49 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2178]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11827,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11826]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2176,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5351_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11822,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2176]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11823,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11822]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2171,plain,
% 7.28/7.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.49 | X2 = X3
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3))
% 7.28/7.49 | ~ class_Int_Onumber__ring(X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oidom(X1) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5352_4) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11812,plain,
% 7.28/7.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.49 | X2 = X3
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3))
% 7.28/7.49 | ~ class_Int_Onumber__ring(X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oidom(X1) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2171]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11813,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.49 | ~ class_Int_Onumber__ring(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 7.28/7.49 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.49 | X3 = X4 ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11812]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2150,plain,
% 7.28/7.49 ( c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5356_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11770,plain,
% 7.28/7.49 ( c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2150]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11771,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 7.28/7.49 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11770]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2148,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X2),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5357_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11766,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X2),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2148]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2146,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5359_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11762,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2146]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11763,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11762]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2142,plain,
% 7.28/7.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oidom(X1) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5360_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11754,plain,
% 7.28/7.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oidom(X1) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2142]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11755,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 7.28/7.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11754]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2138,plain,
% 7.28/7.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oidom(X1) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5361_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11746,plain,
% 7.28/7.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oidom(X1) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2138]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11747,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11746]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2135,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5362_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11740,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2135]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11741,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11740]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2132,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5363_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11734,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2132]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11735,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11734]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2129,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5364_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11728,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2129]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11729,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11728]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2110,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0)
% 7.28/7.49 | ~ class_Int_Onumber__ring(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5368_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11690,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0)
% 7.28/7.49 | ~ class_Int_Onumber__ring(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2110]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11691,plain,
% 7.28/7.49 ( ~ class_Int_Onumber__ring(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11690]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2108,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(X1,X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0)
% 7.28/7.49 | ~ class_Int_Onumber__ring(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5369_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11686,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(X1,X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0)
% 7.28/7.49 | ~ class_Int_Onumber__ring(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2108]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11687,plain,
% 7.28/7.49 ( ~ class_Int_Onumber__ring(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(X1,X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11686]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2106,plain,
% 7.28/7.49 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.49 | ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5370_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11682,plain,
% 7.28/7.49 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.49 | ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2106]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11683,plain,
% 7.28/7.49 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat)
% 7.28/7.49 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11682]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2098,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5372_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11666,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2098]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11667,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11666]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2080,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5377_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11630,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2080]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11631,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11630]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2064,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5381_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11598,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2064]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11599,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11598]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2056,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5383_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11582,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2056]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11583,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11582]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2048,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5385_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11566,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2048]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11567,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11566]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2040,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5387_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11550,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2040]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11551,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11550]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2036,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5388_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11542,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2036]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11543,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11542]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2023,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5391_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11516,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2023]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11517,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11516]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2017,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5393_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11504,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2017]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11505,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11504]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2013,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5394_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11496,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2013]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11497,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11496]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_2009,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5395_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11488,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_2009]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11489,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11488]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1994,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)),X2) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2))
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5399_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11458,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)),X2) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2))
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1994]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11459,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.49 | hAPP(c_NthRoot_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)),X2) = hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11458]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1990,plain,
% 7.28/7.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.49 | X1 = X2
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5400_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11450,plain,
% 7.28/7.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.49 | X1 = X2
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1990]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11451,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3))
% 7.28/7.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.49 | X2 = X3 ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11450]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1987,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5401_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11444,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1987]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1985,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(X1,X3),X3)
% 7.28/7.49 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5402_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11440,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(X1,X3),X3)
% 7.28/7.49 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1985]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11441,plain,
% 7.28/7.49 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 7.28/7.49 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(X1,X3),X3) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11440]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1983,plain,
% 7.28/7.49 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0))
% 7.28/7.49 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5404_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11436,plain,
% 7.28/7.49 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0))
% 7.28/7.49 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1983]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11437,plain,
% 7.28/7.49 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.49 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11436]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1980,plain,
% 7.28/7.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5405_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11430,plain,
% 7.28/7.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1980]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11431,plain,
% 7.28/7.49 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11430]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1978,plain,
% 7.28/7.49 ( hBOOL(hAPP(X0,X1))
% 7.28/7.49 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5406_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11426,plain,
% 7.28/7.49 ( hBOOL(hAPP(X0,X1))
% 7.28/7.49 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1978]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11427,plain,
% 7.28/7.49 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 7.28/7.49 | hBOOL(hAPP(X0,X1)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11426]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1976,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5407_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11422,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1976]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1974,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5408_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11418,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1974]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1972,plain,
% 7.28/7.49 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0)
% 7.28/7.49 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5409_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11414,plain,
% 7.28/7.49 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0)
% 7.28/7.49 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1972]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11415,plain,
% 7.28/7.49 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.49 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11414]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1970,plain,
% 7.28/7.49 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 7.28/7.49 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5410_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11410,plain,
% 7.28/7.49 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 7.28/7.49 | ~ class_Divides_Osemiring__div(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1970]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11411,plain,
% 7.28/7.49 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.49 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11410]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1960,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5413_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11390,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1960]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11391,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11390]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1958,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5414_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11386,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1958]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11387,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11386]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1956,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5415_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11382,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1956]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11383,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11382]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1954,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1)) = c_HOL_Oone__class_Oone(X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5416_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11378,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1)) = c_HOL_Oone__class_Oone(X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1954]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11379,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.28/7.49 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1)) = c_HOL_Oone__class_Oone(X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11378]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1952,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 7.28/7.49 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5417_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11374,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 7.28/7.49 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1952]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11375,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11374]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1946,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5420_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11362,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1946]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11363,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11362]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1944,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 7.28/7.49 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5421_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11358,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 7.28/7.49 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1944]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11359,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11358]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1938,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.49 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5424_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11346,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.49 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1938]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11347,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11346]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1936,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5425_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11342,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1936]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11343,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11342]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1934,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.49 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5426_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11338,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 7.28/7.49 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1934]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11339,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11338]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1932,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 7.28/7.49 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5427_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11334,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 7.28/7.49 | c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1932]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1930,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5428_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11330,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1930]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11331,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11330]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1928,plain,
% 7.28/7.49 ( c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0))
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5429_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11326,plain,
% 7.28/7.49 ( c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0))
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1928]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11327,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 7.28/7.49 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11326]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1926,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)
% 7.28/7.49 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5430_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11322,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)
% 7.28/7.49 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1926]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11323,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.49 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11322]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1920,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5432_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11310,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1920]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11311,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.49 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11310]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1918,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 7.28/7.49 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5433_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11306,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 7.28/7.49 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1918]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11307,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.28/7.49 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11306]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1900,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5439_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11270,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1900]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11271,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11270]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1903,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5438_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11276,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1903]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11277,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11276]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1894,plain,
% 7.28/7.49 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5441_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11258,plain,
% 7.28/7.49 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1894]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11259,plain,
% 7.28/7.49 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11258]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1892,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 7.28/7.49 | ~ class_Divides_Osemiring__div(X2) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5441_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11254,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 7.28/7.49 | ~ class_Divides_Osemiring__div(X2) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1892]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11255,plain,
% 7.28/7.49 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11254]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1890,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5442_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11250,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1890]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11251,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11250]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1887,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5443_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11244,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1887]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11245,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11244]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1883,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5444_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11236,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1883]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1840,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5453_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11150,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1840]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11151,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11150]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1825,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5456_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11120,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1825]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11121,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.49 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11120]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1823,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5457_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11116,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1823]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11117,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11116]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1815,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 7.28/7.49 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5459_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11100,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 7.28/7.49 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1815]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11101,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11100]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1813,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0)
% 7.28/7.49 | ~ class_Int_Onumber__ring(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5460_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11096,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0)
% 7.28/7.49 | ~ class_Int_Onumber__ring(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1813]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11097,plain,
% 7.28/7.49 ( ~ class_Int_Onumber__ring(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11096]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1811,plain,
% 7.28/7.49 ( 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)
% 7.28/7.49 | ~ class_Divides_Oring__div(X2) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5462_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11092,plain,
% 7.28/7.49 ( 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)
% 7.28/7.49 | ~ class_Divides_Oring__div(X2) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1811]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11093,plain,
% 7.28/7.49 ( ~ class_Divides_Oring__div(X0)
% 7.28/7.49 | 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) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11092]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1779,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5469_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11028,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1779]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11029,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11028]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1775,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5470_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11020,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1775]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11021,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11020]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1771,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5471_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11012,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1771]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11013,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11012]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1769,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.49 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5472_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11008,plain,
% 7.28/7.49 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.49 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1769]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11009,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.28/7.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11008]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1765,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5475_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11000,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1765]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_11001,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_11000]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1761,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5476_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10992,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1761]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10993,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10992]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1757,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5477_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10984,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1757]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10985,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10984]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1745,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5480_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10960,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1745]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10961,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10960]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1741,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5481_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10952,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1741]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10953,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10952]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1737,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5482_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10944,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1737]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10945,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10944]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1733,plain,
% 7.28/7.49 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5484_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10936,plain,
% 7.28/7.49 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1733]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1732,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5484_4) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10934,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1732]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1720,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5487_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10910,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1720]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10911,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10910]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1717,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5488_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10904,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1717]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10905,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10904]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1714,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5489_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10898,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1714]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10899,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10898]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1711,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5490_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10892,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1711]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10893,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10892]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1708,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5491_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10886,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.28/7.49 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1708]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10887,plain,
% 7.28/7.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10886]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1705,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5492_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10880,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1705]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10881,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10880]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1702,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5493_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10874,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1702]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10875,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10874]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1699,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5494_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10868,plain,
% 7.28/7.49 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1699]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10869,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.49 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 7.28/7.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10868]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1695,plain,
% 7.28/7.49 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),X1)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5495_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10860,plain,
% 7.28/7.49 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),X1)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1695]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10861,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.49 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10860]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1691,plain,
% 7.28/7.49 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5496_3) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10852,plain,
% 7.28/7.49 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1691]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10853,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.49 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10852]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1689,plain,
% 7.28/7.49 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5497_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10848,plain,
% 7.28/7.49 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1689]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10849,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 7.28/7.49 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10848]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1683,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_HOL_Oone__class_Oone(tc_nat)) = X3
% 7.28/7.49 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5499_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10836,plain,
% 7.28/7.49 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_HOL_Oone__class_Oone(tc_nat)) = X3
% 7.28/7.49 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1683]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10837,plain,
% 7.28/7.49 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 7.28/7.49 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_HOL_Oone__class_Oone(tc_nat)) = X3 ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10836]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1681,plain,
% 7.28/7.49 ( c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2),X0) = c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5500_1) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10832,plain,
% 7.28/7.49 ( c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2),X0) = c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.28/7.49 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1681]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10833,plain,
% 7.28/7.49 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.49 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2),X0) = c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 7.28/7.49 inference(rewriting,[status(thm)],[c_10832]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1680,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5501_0) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10830,plain,
% 7.28/7.49 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.28/7.49 inference(copy,[status(esa)],[c_1680]) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_1678,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 7.28/7.49 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5501_2) ).
% 7.28/7.49
% 7.28/7.49 cnf(c_10826,plain,
% 7.28/7.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1678]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10827,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10826]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1667,plain,
% 7.28/7.50 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5504_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10804,plain,
% 7.28/7.50 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1667]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10805,plain,
% 7.28/7.50 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10804]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1665,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 7.28/7.50 | ~ class_Divides_Osemiring__div(X3) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5504_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10800,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 7.28/7.50 | ~ class_Divides_Osemiring__div(X3) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1665]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10801,plain,
% 7.28/7.50 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10800]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1663,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),X3) = X0
% 7.28/7.50 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5505_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10796,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),X3) = X0
% 7.28/7.50 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1663]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10797,plain,
% 7.28/7.50 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 7.28/7.50 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),X3) = X0 ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10796]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1660,plain,
% 7.28/7.50 ( 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)
% 7.28/7.50 | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Divides_Odiv__class_Omod(X3,X2,X1)
% 7.28/7.50 | ~ class_Divides_Oring__div(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5506_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10790,plain,
% 7.28/7.50 ( 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)
% 7.28/7.50 | c_Divides_Odiv__class_Omod(X0,X2,X1) != c_Divides_Odiv__class_Omod(X3,X2,X1)
% 7.28/7.50 | ~ class_Divides_Oring__div(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1660]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10791,plain,
% 7.28/7.50 ( ~ class_Divides_Oring__div(X0)
% 7.28/7.50 | 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)
% 7.28/7.50 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10790]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1658,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2))
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5507_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10786,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2))
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1658]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10787,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10786]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1656,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2))
% 7.28/7.50 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5508_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10782,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2))
% 7.28/7.50 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1656]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10783,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10782]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1652,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5509_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10774,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1652]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10775,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10774]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1641,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5512_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10752,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1641]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1640,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5512_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10750,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1640]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1639,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5512_4) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10748,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1639]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1633,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5514_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10736,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1633]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10737,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.50 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10736]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1625,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5516_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10720,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1625]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10721,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10720]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1612,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5519_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10694,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1612]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10695,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10694]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1609,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 7.28/7.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5520_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10688,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 7.28/7.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1609]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10689,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10688]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1606,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5521_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10682,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1606]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10683,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10682]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1603,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5522_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10676,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1603]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10677,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10676]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1600,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5523_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10670,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1600]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1597,plain,
% 7.28/7.50 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X1,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5524_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10664,plain,
% 7.28/7.50 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X1,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1597]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10665,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10664]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1594,plain,
% 7.28/7.50 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5525_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10658,plain,
% 7.28/7.50 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1594]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10659,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.50 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10658]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1592,plain,
% 7.28/7.50 ( c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5526_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10654,plain,
% 7.28/7.50 ( c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1592]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10655,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10654]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1590,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5527_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10650,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1590]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1588,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5528_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10646,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1588]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1586,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5529_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10642,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1586]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1584,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5530_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10638,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1584]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10639,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.50 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10638]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1582,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3))
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5531_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10634,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3))
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1582]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10635,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10634]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1580,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5532_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10630,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1580]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10631,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10630]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1578,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 7.28/7.50 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5533_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10626,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 7.28/7.50 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1578]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10627,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10626]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1576,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 7.28/7.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5534_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10622,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 7.28/7.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1576]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10623,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10622]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1574,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5535_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10618,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1574]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10619,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10618]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1572,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 7.28/7.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5536_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10614,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 7.28/7.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1572]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10615,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.28/7.50 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10614]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1569,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5537_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10608,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1569]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10609,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10608]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1563,plain,
% 7.28/7.50 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 7.28/7.50 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5539_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10596,plain,
% 7.28/7.50 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 7.28/7.50 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1563]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1560,plain,
% 7.28/7.50 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 7.28/7.50 | ~ class_Divides_Osemiring__div(X2) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5540_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10590,plain,
% 7.28/7.50 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 7.28/7.50 | ~ class_Divides_Osemiring__div(X2) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1560]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10591,plain,
% 7.28/7.50 ( ~ class_Divides_Osemiring__div(X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.28/7.50 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10590]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1557,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),X1,X2)
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5541_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10584,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),X1,X2)
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1557]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10585,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10584]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1554,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X1,X2)
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5542_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10578,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X1,X2)
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1554]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10579,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10578]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1553,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5543_0) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10576,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1553]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1551,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5543_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10572,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1551]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1550,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5543_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10570,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1550]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1549,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5544_0) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10568,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1549]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1548,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5544_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10566,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1548]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1547,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5544_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10564,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1547]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1546,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5544_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10562,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1546]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1544,plain,
% 7.28/7.50 ( c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat)
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5545_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10558,plain,
% 7.28/7.50 ( c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Omod(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat),tc_nat),tc_nat)
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1544]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1524,plain,
% 7.28/7.50 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 7.28/7.50 | ~ hBOOL(hAPP(X0,X1)) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5550_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10518,plain,
% 7.28/7.50 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 7.28/7.50 | ~ hBOOL(hAPP(X0,X1)) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1524]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1516,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5552_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10502,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1516]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10503,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10502]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1513,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0))
% 7.28/7.50 | ~ class_Int_Onumber(X0)
% 7.28/7.50 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5553_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10496,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0))
% 7.28/7.50 | ~ class_Int_Onumber(X0)
% 7.28/7.50 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1513]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10497,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.28/7.50 | ~ class_Int_Onumber(X0)
% 7.28/7.50 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10496]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1507,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2)) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2))
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5555_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10484,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2)) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2))
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1507]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10485,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.50 | hAPP(c_NthRoot_Oroot(X1),hAPP(c_NthRoot_Oroot(X0),X2)) = hAPP(c_NthRoot_Oroot(X0),hAPP(c_NthRoot_Oroot(X1),X2)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10484]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1487,plain,
% 7.28/7.50 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 7.28/7.50 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 7.28/7.50 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X4) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Ofield(X2) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5560_4) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10444,plain,
% 7.28/7.50 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 7.28/7.50 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 7.28/7.50 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X4) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Ofield(X2) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1487]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10445,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 7.28/7.50 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 7.28/7.50 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.50 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10444]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1485,plain,
% 7.28/7.50 ( X0 = X1
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5561_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10440,plain,
% 7.28/7.50 ( X0 = X1
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X2)),X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1485]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10441,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,X0)),X2)
% 7.28/7.50 | X1 = X2 ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10440]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1483,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ozero__class_Ozero(X0)),X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5562_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10436,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ozero__class_Ozero(X0)),X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1483]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10437,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ozero__class_Ozero(X0)),X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10436]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1465,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5567_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10400,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1465]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10401,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10400]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1463,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5568_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10396,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1463]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10397,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10396]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1452,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5571_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10374,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1452]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10375,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10374]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1449,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5572_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10368,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1449]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1445,plain,
% 7.28/7.50 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5573_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10360,plain,
% 7.28/7.50 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1445]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10361,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10360]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1441,plain,
% 7.28/7.50 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5574_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10352,plain,
% 7.28/7.50 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1441]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10353,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10352]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1439,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5575_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10348,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1439]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10349,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10348]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1437,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5576_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10344,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1437]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10345,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10344]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1433,plain,
% 7.28/7.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X1)
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5577_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10336,plain,
% 7.28/7.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X1)
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1433]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10337,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)),X0)
% 7.28/7.50 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10336]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1421,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5580_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10312,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1421]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1420,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5580_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10310,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1420]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1419,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5580_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10308,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1419]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1417,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5581_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10304,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1417]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1416,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5581_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10302,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1416]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1415,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5581_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10300,plain,
% 7.28/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1415]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1412,plain,
% 7.28/7.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5583_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10294,plain,
% 7.28/7.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1412]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10295,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 7.28/7.50 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10294]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1405,plain,
% 7.28/7.50 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)) != X3
% 7.28/7.50 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5586_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10280,plain,
% 7.28/7.50 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)) != X3
% 7.28/7.50 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1405]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10281,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != X2
% 7.28/7.50 | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10280]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1403,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)) = X2
% 7.28/7.50 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5587_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10276,plain,
% 7.28/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)) = X2
% 7.28/7.50 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1403]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10277,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)) = X2 ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10276]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1400,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5588_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10270,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1400]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10271,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10270]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1397,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5589_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10264,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.28/7.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1397]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10265,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10264]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1394,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5590_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10258,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1394]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10259,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10258]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1391,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5591_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10252,plain,
% 7.28/7.50 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1391]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10253,plain,
% 7.28/7.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 7.28/7.50 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10252]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1388,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat))
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5592_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10246,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat))
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1388]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10247,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 7.28/7.50 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X2,X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10246]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1387,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.50 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.50 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5593_0) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10244,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.50 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.50 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1387]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1384,plain,
% 7.28/7.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.50 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Oinverse(X2,X1)),c_HOL_Oinverse__class_Oinverse(X0,X1)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5593_3) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10238,plain,
% 7.28/7.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.50 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Oinverse(X2,X1)),c_HOL_Oinverse__class_Oinverse(X0,X1)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 7.28/7.50 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1384]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10239,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.28/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 7.28/7.50 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.28/7.50 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10238]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1382,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5594_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10234,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1382]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10235,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10234]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1380,plain,
% 7.28/7.50 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.50 | hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5595_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10230,plain,
% 7.28/7.50 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.28/7.50 | hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1380]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10231,plain,
% 7.28/7.50 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 7.28/7.50 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10230]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1375,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5597_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10220,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.50 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1375]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10221,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.28/7.50 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10220]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1373,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5598_1) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10216,plain,
% 7.28/7.50 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.28/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1373]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10217,plain,
% 7.28/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.28/7.50 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10216]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1370,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 7.28/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5601_2) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10210,plain,
% 7.28/7.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 7.28/7.50 inference(copy,[status(esa)],[c_1370]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_10211,plain,
% 7.28/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.28/7.50 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 7.28/7.50 inference(rewriting,[status(thm)],[c_10210]) ).
% 7.28/7.50
% 7.28/7.50 cnf(c_1368,plain,
% 7.28/7.50 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.28/7.50 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5605_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10206,plain,
% 7.38/7.50 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.50 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1368]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1366,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 7.38/7.50 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5606_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10202,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 7.38/7.50 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1366]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10203,plain,
% 7.38/7.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 7.38/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10202]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1364,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 7.38/7.50 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5607_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10198,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 7.38/7.50 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1364]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10199,plain,
% 7.38/7.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10198]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1362,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)) = c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.38/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5608_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10194,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)) = c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 7.38/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1362]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10195,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X2,X0)) = c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10194]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1359,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),X1)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5609_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10188,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),X1)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1359]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10189,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10188]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1356,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5610_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10182,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1356]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10183,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10182]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1353,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5611_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10176,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1353]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10177,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10176]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1351,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5612_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10172,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1351]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10173,plain,
% 7.38/7.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.38/7.50 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10172]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1349,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0),X0,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5613_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10168,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0),X0,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1349]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1346,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5614_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10162,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1346]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1341,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0)
% 7.38/7.50 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5617_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10152,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0)
% 7.38/7.50 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1341]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10153,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 7.38/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10152]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1339,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 7.38/7.50 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5618_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10148,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 7.38/7.50 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1339]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10149,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 7.38/7.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10148]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1336,plain,
% 7.38/7.50 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.50 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X0)
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5619_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10142,plain,
% 7.38/7.50 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.50 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X0)
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1336]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10143,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.38/7.50 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.50 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X2,X0)),X1) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10142]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1333,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 7.38/7.50 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5620_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10136,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 7.38/7.50 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.50 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1333]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10137,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)),X0)
% 7.38/7.50 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10136]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1318,plain,
% 7.38/7.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.50 | 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)
% 7.38/7.50 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5623_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10106,plain,
% 7.38/7.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.50 | 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)
% 7.38/7.50 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1318]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10107,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.38/7.50 | 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)
% 7.38/7.50 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10106]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1316,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),X0,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5624_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10102,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),X0,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1316]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1310,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2))
% 7.38/7.50 | ~ class_Power_Opower(X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5627_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10090,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2))
% 7.38/7.50 | ~ class_Power_Opower(X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1310]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10091,plain,
% 7.38/7.50 ( ~ class_Power_Opower(X0)
% 7.38/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10090]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1308,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2))
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5628_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10086,plain,
% 7.38/7.50 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2))
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1308]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10087,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10086]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1303,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5630_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10076,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1303]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1301,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5631_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10072,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1301]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1297,plain,
% 7.38/7.50 ( ~ class_Orderings_Opreorder(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5633_0) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10064,plain,
% 7.38/7.50 ( ~ class_Orderings_Opreorder(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1297]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1296,plain,
% 7.38/7.50 ( ~ class_Orderings_Opreorder(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5633_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10062,plain,
% 7.38/7.50 ( ~ class_Orderings_Opreorder(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1296]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1294,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 7.38/7.50 | ~ class_Orderings_Opreorder(X2) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5633_3) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10058,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 7.38/7.50 | ~ class_Orderings_Opreorder(X2) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1294]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10059,plain,
% 7.38/7.50 ( ~ class_Orderings_Opreorder(X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10058]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1293,plain,
% 7.38/7.50 ( ~ class_Orderings_Oorder(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5634_0) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10056,plain,
% 7.38/7.50 ( ~ class_Orderings_Oorder(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1293]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1292,plain,
% 7.38/7.50 ( ~ class_Orderings_Oorder(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5634_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10054,plain,
% 7.38/7.50 ( ~ class_Orderings_Oorder(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1292]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1290,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 7.38/7.50 | ~ class_Orderings_Oorder(X2) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5634_3) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10050,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 7.38/7.50 | ~ class_Orderings_Oorder(X2) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1290]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10051,plain,
% 7.38/7.50 ( ~ class_Orderings_Oorder(X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10050]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1289,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 7.38/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5635_0) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10048,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 7.38/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1289]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1288,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.38/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5635_1) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10046,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.38/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1288]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1286,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5635_3) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10042,plain,
% 7.38/7.50 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 7.38/7.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1286]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10043,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.50 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10042]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1283,plain,
% 7.38/7.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.50 | c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),X2)
% 7.38/7.50 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5636_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10036,plain,
% 7.38/7.50 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.50 | c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),X2)
% 7.38/7.50 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1283]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10037,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.38/7.50 | c_HOL_Oinverse__class_Oinverse(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X2)
% 7.38/7.50 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10036]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1280,plain,
% 7.38/7.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.50 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5637_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10030,plain,
% 7.38/7.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.50 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1280]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10031,plain,
% 7.38/7.50 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 7.38/7.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.50 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10030]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1276,plain,
% 7.38/7.50 ( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.50 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5638_3) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10022,plain,
% 7.38/7.50 ( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.50 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.50 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1276]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10023,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.50 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.50 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10022]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1273,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 7.38/7.50 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5639_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10016,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 7.38/7.50 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1273]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10017,plain,
% 7.38/7.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10016]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1272,plain,
% 7.38/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.38/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5640_0) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10014,plain,
% 7.38/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.38/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1272]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1270,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5640_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10010,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.38/7.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1270]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10011,plain,
% 7.38/7.50 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10010]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1267,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 7.38/7.50 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 7.38/7.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5641_2) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10004,plain,
% 7.38/7.50 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 7.38/7.50 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 7.38/7.50 inference(copy,[status(esa)],[c_1267]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_10005,plain,
% 7.38/7.50 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.38/7.50 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 7.38/7.50 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.38/7.50 inference(rewriting,[status(thm)],[c_10004]) ).
% 7.38/7.50
% 7.38/7.50 cnf(c_1265,plain,
% 7.38/7.50 ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oring(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5643_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_10000,plain,
% 7.38/7.51 ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oring(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1265]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_10001,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oring(X0)
% 7.38/7.51 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_10000]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1261,plain,
% 7.38/7.51 ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)
% 7.38/7.51 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5645_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9992,plain,
% 7.38/7.51 ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2)
% 7.38/7.51 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1261]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9993,plain,
% 7.38/7.51 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 7.38/7.51 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9992]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1259,plain,
% 7.38/7.51 ( c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5646_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9988,plain,
% 7.38/7.51 ( c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1259]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9989,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | c_HOL_Oabs__class_Oabs(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),X2) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9988]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1257,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5647_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9984,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1257]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1255,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5648_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9980,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1255]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1249,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5651_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9968,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1249]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1247,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5652_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9964,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1247]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1245,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5655_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9960,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1245]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9961,plain,
% 7.38/7.51 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9960]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1244,plain,
% 7.38/7.51 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5657_0) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9958,plain,
% 7.38/7.51 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1244]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1243,plain,
% 7.38/7.51 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5657_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9956,plain,
% 7.38/7.51 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1243]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1242,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5657_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9954,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1242]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1240,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5658_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9950,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1240]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9951,plain,
% 7.38/7.51 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9950]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1238,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5659_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9946,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1238]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9947,plain,
% 7.38/7.51 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9946]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1231,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5662_0) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9932,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1231]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1229,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5662_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9928,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1229]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9929,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9928]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1225,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5664_0) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9920,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1225]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1223,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5664_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9916,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1223]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9917,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9916]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1220,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5665_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9910,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1220]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9911,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9910]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1218,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) = X2
% 7.38/7.51 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5666_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9906,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) = X2
% 7.38/7.51 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1218]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9907,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) = X2 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9906]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1216,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) = X2
% 7.38/7.51 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5667_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9902,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) = X2
% 7.38/7.51 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1216]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9903,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) = X2 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9902]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1214,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 7.38/7.51 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5668_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9898,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 7.38/7.51 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1214]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9899,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9898]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1211,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | 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)
% 7.38/7.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5669_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9892,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | 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)
% 7.38/7.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1211]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9893,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.51 | 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)
% 7.38/7.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9892]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1209,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5670_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9888,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1209]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9889,plain,
% 7.38/7.51 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9888]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1189,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5675_3) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9848,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1189]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9849,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.38/7.51 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9848]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1185,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5676_3) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9840,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1185]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9841,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9840]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1183,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5677_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9836,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1183]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9837,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9836]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1181,plain,
% 7.38/7.51 ( 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)
% 7.38/7.51 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5678_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9832,plain,
% 7.38/7.51 ( 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)
% 7.38/7.51 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1181]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9833,plain,
% 7.38/7.51 ( ~ class_RealVector_Oreal__normed__field(X0)
% 7.38/7.51 | 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) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9832]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1179,plain,
% 7.38/7.51 ( 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)
% 7.38/7.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5679_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9828,plain,
% 7.38/7.51 ( 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)
% 7.38/7.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1179]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9829,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.51 | 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) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9828]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1177,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5680_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9824,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1177]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9825,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9824]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1174,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5682_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9818,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1174]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9819,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9818]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1171,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5683_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9812,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1171]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9813,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9812]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1169,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5684_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9808,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1169]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1167,plain,
% 7.38/7.51 ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0))
% 7.38/7.51 | ~ class_Ring__and__Field_Oring(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5685_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9804,plain,
% 7.38/7.51 ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0))
% 7.38/7.51 | ~ class_Ring__and__Field_Oring(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1167]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9805,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oring(X0)
% 7.38/7.51 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0)) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9804]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1163,plain,
% 7.38/7.51 ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0))
% 7.38/7.51 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5687_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9796,plain,
% 7.38/7.51 ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0))
% 7.38/7.51 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1163]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9797,plain,
% 7.38/7.51 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 7.38/7.51 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0)) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9796]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1160,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5688_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9790,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1160]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9791,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9790]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1157,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5689_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9784,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1157]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9785,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9784]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1148,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5692_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9766,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1148]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9767,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9766]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1132,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),X1)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5696_3) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9734,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),X1)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1132]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9735,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 7.38/7.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9734]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1129,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5697_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9728,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1129]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9729,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9728]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1115,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5702_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9700,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1115]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9701,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9700]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1114,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5702_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9698,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1114]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9699,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9698]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1112,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5703_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9694,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1112]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9695,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9694]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1111,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5703_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9692,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1111]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9693,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9692]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1109,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1),X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5704_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9688,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1),X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1109]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9689,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9688]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1102,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5707_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9674,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1102]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9675,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9674]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1099,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5708_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9668,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1099]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9669,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9668]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1096,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5709_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9662,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1096]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9663,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9662]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1093,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5710_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9656,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1093]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9657,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9656]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1088,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X1,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5712_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9646,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X1,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1088]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9647,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X1,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9646]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1086,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oring(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5713_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9642,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oring(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1086]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9643,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oring(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),c_HOL_Ouminus__class_Ouminus(X2,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9642]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1084,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X1,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5714_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9638,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X1,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1084]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9639,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oabs__class_Oabs(X1,X0)),c_HOL_Oabs__class_Oabs(X1,X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9638]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1082,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0))
% 7.38/7.51 | ~ class_Ring__and__Field_Oring(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5715_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9634,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0))
% 7.38/7.51 | ~ class_Ring__and__Field_Oring(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1082]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9635,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oring(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ouminus__class_Ouminus(X2,X0)) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9634]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1079,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5716_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9628,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1079]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9629,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9628]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1076,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5717_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9622,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1076]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9623,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9622]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1073,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5718_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9616,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1073]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9617,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9616]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1070,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5719_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9610,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1070]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9611,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9610]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1067,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5720_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9604,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1067]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9605,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9604]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1063,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oidom(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5721_3) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9596,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oidom(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1063]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9597,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)
% 7.38/7.51 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 7.38/7.51 | X1 = X2 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9596]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1062,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5722_0) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9594,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1062]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1060,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5722_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9590,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1060]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9591,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9590]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1057,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5724_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9584,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1057]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9585,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9584]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1054,plain,
% 7.38/7.51 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5725_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9578,plain,
% 7.38/7.51 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1054]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9579,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(X2,X0)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9578]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1051,plain,
% 7.38/7.51 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5726_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9572,plain,
% 7.38/7.51 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X1,X0)),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1051]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9573,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oabs__class_Oabs(X2,X0)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9572]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1047,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5728_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9564,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1047]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1044,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5729_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9558,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1044]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9559,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9558]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1040,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oidom(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5730_3) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9550,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oidom(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1040]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9551,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 7.38/7.51 | X2 = X3 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9550]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1037,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.38/7.51 | ~ class_Orderings_Oorder(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5731_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9544,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.38/7.51 | ~ class_Orderings_Oorder(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1037]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9545,plain,
% 7.38/7.51 ( ~ class_Orderings_Oorder(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9544]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1034,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.38/7.51 | ~ class_Orderings_Olinorder(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5732_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9538,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.38/7.51 | ~ class_Orderings_Olinorder(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1034]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9539,plain,
% 7.38/7.51 ( ~ class_Orderings_Olinorder(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9538]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1028,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.38/7.51 | ~ class_Orderings_Opreorder(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5734_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9526,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.38/7.51 | ~ class_Orderings_Opreorder(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1028]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9527,plain,
% 7.38/7.51 ( ~ class_Orderings_Opreorder(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9526]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1025,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5735_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9520,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1025]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9521,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat)
% 7.38/7.51 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9520]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1009,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5739_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9488,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1009]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9489,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9488]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1007,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5740_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9484,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1007]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9485,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9484]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_1004,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5742_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9478,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_1004]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9479,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.51 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9478]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_998,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | X1 = X0
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5744_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9466,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | X1 = X0
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_998]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9467,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | X1 = X0 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9466]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_995,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | X0 = X1
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5745_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9460,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | X0 = X1
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_995]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9461,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | X0 = X1 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9460]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_989,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5747_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9448,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_989]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9449,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9448]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_986,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5748_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9442,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_986]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9443,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9442]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_983,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5749_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9436,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_983]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9437,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9436]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_980,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5750_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9430,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_980]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9431,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9430]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_974,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 7.38/7.51 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5752_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9418,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 7.38/7.51 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_974]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9419,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 7.38/7.51 | X1 = X3 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9418]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_971,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5753_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9412,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_971]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9413,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 7.38/7.51 | X2 = X3 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9412]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_968,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5754_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9406,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_968]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9407,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 7.38/7.51 | X2 = X3 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9406]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_965,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | 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)
% 7.38/7.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5755_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9400,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.51 | 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)
% 7.38/7.51 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_965]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9401,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.51 | 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)
% 7.38/7.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9400]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_963,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5756_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9396,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_963]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9397,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 7.38/7.51 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9396]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_961,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5758_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9392,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_961]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_955,plain,
% 7.38/7.51 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 7.38/7.51 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5760_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9380,plain,
% 7.38/7.51 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 7.38/7.51 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_955]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9381,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.51 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 7.38/7.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9380]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_934,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5767_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9338,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_934]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9339,plain,
% 7.38/7.51 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.38/7.51 | X0 = X1 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9338]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_935,plain,
% 7.38/7.51 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | X1 = X0
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5767_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9340,plain,
% 7.38/7.51 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | X1 = X0
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_935]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9341,plain,
% 7.38/7.51 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 7.38/7.51 | X1 = X0 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9340]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_931,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5768_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9332,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_931]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9333,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.38/7.51 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9332]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_929,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_Parity_Osko__Parity__Xeven__mult__two__ex__1__1(X0)) = X0
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5769_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9328,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_Parity_Osko__Parity__Xeven__mult__two__ex__1__1(X0)) = X0
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_929]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9329,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),c_Parity_Osko__Parity__Xeven__mult__two__ex__1__1(X0)) = X0 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9328]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_927,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5770_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9324,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_927]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9325,plain,
% 7.38/7.51 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9324]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_925,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5771_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9320,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_925]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9321,plain,
% 7.38/7.51 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9320]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_923,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Odvd(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5772_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9316,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Odvd(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_923]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9317,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Odvd(X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9316]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_921,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5773_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9312,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_921]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9313,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9312]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_919,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5774_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9308,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_919]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9309,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9308]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_917,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5775_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9304,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_917]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9305,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9304]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_915,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5776_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9300,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_915]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_913,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5777_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9296,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_913]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9297,plain,
% 7.38/7.51 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9296]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_910,plain,
% 7.38/7.51 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5779_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9290,plain,
% 7.38/7.51 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_910]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9291,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.51 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9290]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_908,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5780_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9286,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_908]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_906,plain,
% 7.38/7.51 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5781_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9282,plain,
% 7.38/7.51 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_906]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9283,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.38/7.51 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9282]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_904,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5782_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9278,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 7.38/7.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_904]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9279,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9278]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_886,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5786_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9242,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_886]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9243,plain,
% 7.38/7.51 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9242]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_882,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_Int_Onumber__class_Onumber__of(X0,X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5787_3) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9234,plain,
% 7.38/7.51 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X0,X1),X1) = c_Int_Onumber__class_Onumber__of(X0,X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_882]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9235,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.51 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9234]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_876,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5789_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9222,plain,
% 7.38/7.51 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_876]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9223,plain,
% 7.38/7.51 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.51 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9222]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_873,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5790_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9216,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 7.38/7.51 | ~ class_Divides_Osemiring__div(X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_873]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9217,plain,
% 7.38/7.51 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9216]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_870,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5791_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9210,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_870]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9211,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 7.38/7.51 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | X0 = X2 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9210]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_864,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | X1 = X2
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5793_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9198,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | X1 = X2
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_864]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9199,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 7.38/7.51 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | X1 = X2 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9198]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_862,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5794_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9194,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_862]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9195,plain,
% 7.38/7.51 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)),X1) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9194]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_858,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5797_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9186,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_858]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9187,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 7.38/7.51 | X1 = X2 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9186]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_856,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5798_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9182,plain,
% 7.38/7.51 ( X0 = X1
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_856]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9183,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 7.38/7.51 | X0 = X2 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9182]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_851,plain,
% 7.38/7.51 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5800_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9172,plain,
% 7.38/7.51 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_851]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9173,plain,
% 7.38/7.51 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 7.38/7.51 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9172]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_849,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5802_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9168,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_849]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9169,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9168]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_847,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5803_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9164,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_847]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9165,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9164]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_838,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5806_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9146,plain,
% 7.38/7.51 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.51 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_838]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_833,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5808_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9136,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_833]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9137,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X2,X0)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9136]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_829,plain,
% 7.38/7.51 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 7.38/7.51 | ~ class_Orderings_Olinorder(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5810_3) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9128,plain,
% 7.38/7.51 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 7.38/7.51 | ~ class_Orderings_Olinorder(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_829]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9129,plain,
% 7.38/7.51 ( ~ class_Orderings_Olinorder(X0)
% 7.38/7.51 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9128]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_827,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5811_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9124,plain,
% 7.38/7.51 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_827]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9125,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.51 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9124]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_823,plain,
% 7.38/7.51 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 7.38/7.51 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X0),X1),X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.51 | ~ class_Int_Oring__char__0(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5812_3) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9116,plain,
% 7.38/7.51 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 7.38/7.51 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X0),X1),X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.51 | ~ class_Int_Oring__char__0(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_823]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9117,plain,
% 7.38/7.51 ( ~ class_Int_Oring__char__0(X0)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.51 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 7.38/7.51 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9116]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_805,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Suc,X1),X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5816_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9080,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Suc,X1),X0)
% 7.38/7.51 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_805]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9081,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Suc,X1),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9080]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_803,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5818_1) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9076,plain,
% 7.38/7.51 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_803]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9077,plain,
% 7.38/7.51 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 7.38/7.51 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9076]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_800,plain,
% 7.38/7.51 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5819_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9070,plain,
% 7.38/7.51 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_800]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9071,plain,
% 7.38/7.51 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9070]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_797,plain,
% 7.38/7.51 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5820_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9064,plain,
% 7.38/7.51 ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.51 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_797]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9065,plain,
% 7.38/7.51 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 7.38/7.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.51 | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9064]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_793,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5822_0) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9056,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_793]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_791,plain,
% 7.38/7.51 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5822_2) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9052,plain,
% 7.38/7.51 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_791]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9053,plain,
% 7.38/7.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.51 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9052]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_787,plain,
% 7.38/7.51 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X0),X1),X1)
% 7.38/7.51 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.51 | ~ class_Int_Oring__char__0(X1) ),
% 7.38/7.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5823_3) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9044,plain,
% 7.38/7.51 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X0),X1),X1)
% 7.38/7.51 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.51 | ~ class_Int_Oring__char__0(X1) ),
% 7.38/7.51 inference(copy,[status(esa)],[c_787]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_9045,plain,
% 7.38/7.51 ( ~ class_Int_Oring__char__0(X0)
% 7.38/7.51 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.51 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 7.38/7.51 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 7.38/7.51 inference(rewriting,[status(thm)],[c_9044]) ).
% 7.38/7.51
% 7.38/7.51 cnf(c_783,plain,
% 7.38/7.51 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.51 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.51 | ~ class_Power_Opower(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5824_3) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9036,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | ~ class_Power_Opower(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_783]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9037,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0)
% 7.38/7.52 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_9036]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_781,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5825_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9032,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_781]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9033,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_9032]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_772,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5830_0) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9014,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_772]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_770,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5830_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9010,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_770]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9011,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_9010]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_768,plain,
% 7.38/7.52 ( hAPP(hAPP(X0,X1),X2) = X2 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X3) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5831_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9006,plain,
% 7.38/7.52 ( hAPP(hAPP(X0,X1),X2) = X2 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X3) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_768]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9007,plain,
% 7.38/7.52 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X0),X3) = X3 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_9006]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_766,plain,
% 7.38/7.52 ( hAPP(hAPP(X0,X1),X2) = X1 | ~ c_OrderedGroup_Omonoid__mult(X2,X0,X3) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5832_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9002,plain,
% 7.38/7.52 ( hAPP(hAPP(X0,X1),X2) = X1 | ~ c_OrderedGroup_Omonoid__mult(X2,X0,X3) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_766]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_9003,plain,
% 7.38/7.52 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X3),X0) = X3 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_9002]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_754,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)),X1) = X1
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5835_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8978,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)),X1) = X1
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_754]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8979,plain,
% 7.38/7.52 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)),X1) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8978]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_752,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.38/7.52 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5836_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8974,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.38/7.52 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_752]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_750,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.38/7.52 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5837_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8970,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 7.38/7.52 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_750]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_748,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5838_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8966,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_748]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8967,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8966]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_746,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5839_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8962,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_746]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8963,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8962]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_744,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5840_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8958,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_744]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8959,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8958]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_729,plain,
% 7.38/7.52 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),c_Int_Onumber__class_Onumber__of(X0,tc_nat)) = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Power_Opower(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5845_3) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8928,plain,
% 7.38/7.52 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),c_Int_Onumber__class_Onumber__of(X0,tc_nat)) = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Power_Opower(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_729]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8929,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0)
% 7.38/7.52 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8928]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_727,plain,
% 7.38/7.52 ( c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat)
% 7.38/7.52 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5846_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8924,plain,
% 7.38/7.52 ( c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat)
% 7.38/7.52 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_727]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8925,plain,
% 7.38/7.52 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.52 | c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8924]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_724,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),X0) = c_HOL_Oone__class_Oone(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5847_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8918,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),X0) = c_HOL_Oone__class_Oone(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_724]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8919,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8918]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_721,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),X0) = c_HOL_Oone__class_Oone(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5848_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8912,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Oinverse(X0,X1)),X0) = c_HOL_Oone__class_Oone(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_721]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8913,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Oinverse(X1,X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8912]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_708,plain,
% 7.38/7.52 ( ~ class_Orderings_Olinorder(X0)
% 7.38/7.52 | X1 = X2
% 7.38/7.52 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5852_0) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8886,plain,
% 7.38/7.52 ( ~ class_Orderings_Olinorder(X0)
% 7.38/7.52 | X1 = X2
% 7.38/7.52 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_708]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8887,plain,
% 7.38/7.52 ( ~ class_Orderings_Olinorder(X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 7.38/7.52 | X2 = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8886]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_705,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.38/7.52 | X0 = X1
% 7.38/7.52 | ~ class_Orderings_Olinorder(X2) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5852_3) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8880,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 7.38/7.52 | X0 = X1
% 7.38/7.52 | ~ class_Orderings_Olinorder(X2) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_705]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8881,plain,
% 7.38/7.52 ( ~ class_Orderings_Olinorder(X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 7.38/7.52 | X1 = X2 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8880]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_703,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.52 | X2 = X1
% 7.38/7.52 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5853_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8876,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.52 | X2 = X1
% 7.38/7.52 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_703]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8877,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 7.38/7.52 | X2 = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8876]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_698,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 7.38/7.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5854_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8866,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 7.38/7.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_698]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8867,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 7.38/7.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8866]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_689,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5858_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8848,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_689]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8849,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8848]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_686,plain,
% 7.38/7.52 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5859_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8842,plain,
% 7.38/7.52 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_686]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8843,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8842]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_682,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5861_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8834,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_682]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8835,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8834]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_680,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5862_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8830,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_680]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8831,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ouminus__class_Ouminus(X1,X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8830]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_678,plain,
% 7.38/7.52 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5863_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8826,plain,
% 7.38/7.52 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_678]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8827,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8826]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_676,plain,
% 7.38/7.52 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5864_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8822,plain,
% 7.38/7.52 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_676]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8823,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8822]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_674,plain,
% 7.38/7.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5865_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8818,plain,
% 7.38/7.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_674]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8819,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.38/7.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8818]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_670,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5867_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8810,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_670]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8811,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8810]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_668,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 7.38/7.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5868_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8806,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 7.38/7.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_668]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8807,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8806]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_664,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5870_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8798,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_664]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8799,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8798]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_661,plain,
% 7.38/7.52 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X1) != c_HOL_Ozero__class_Ozero(X2)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5872_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8792,plain,
% 7.38/7.52 ( X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X1) != c_HOL_Ozero__class_Ozero(X2)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_661]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8793,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8792]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_658,plain,
% 7.38/7.52 ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5873_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8786,plain,
% 7.38/7.52 ( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_658]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8787,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8786]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_655,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Oone__class_Oone(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5874_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8780,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Oone__class_Oone(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_655]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8781,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8780]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_650,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.52 | X1 = X0
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5876_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8770,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.52 | X1 = X0
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_650]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8771,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 7.38/7.52 | X1 = X0 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8770]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_646,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5877_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8762,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_646]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8763,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8762]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_642,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 7.38/7.52 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X2) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5878_3) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8754,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 7.38/7.52 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X2) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_642]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8755,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = X2 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8754]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_637,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5880_0) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8744,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_637]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_634,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5880_3) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8738,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_634]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8739,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8738]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_633,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5881_0) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8736,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_633]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_630,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5881_3) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8730,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_630]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8731,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8730]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_627,plain,
% 7.38/7.52 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5882_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8724,plain,
% 7.38/7.52 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_627]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8725,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.52 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8724]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_625,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)),X1) = X1
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5883_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8720,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)),X1) = X1
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_625]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8721,plain,
% 7.38/7.52 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)),X1) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8720]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_622,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5884_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8714,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_622]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8715,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8714]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_618,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5886_0) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8706,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_618]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_616,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5886_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8702,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_616]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8703,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8702]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_614,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5888_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8698,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_614]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8699,plain,
% 7.38/7.52 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8698]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_610,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 7.38/7.52 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Oidom(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5890_3) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8690,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 7.38/7.52 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Oidom(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_610]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8691,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8690]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_591,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5895_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8652,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_591]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8653,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8652]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_588,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5896_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8646,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_588]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8647,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8646]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_585,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5897_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8640,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_585]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8641,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8640]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_582,plain,
% 7.38/7.52 ( ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X0),X1),X1)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.52 | ~ class_Int_Oring__char__0(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5899_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8634,plain,
% 7.38/7.52 ( ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X0),X1),X1)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X1)
% 7.38/7.52 | ~ class_Int_Oring__char__0(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_582]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8635,plain,
% 7.38/7.52 ( ~ class_Int_Oring__char__0(X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0),X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8634]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_579,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),c_HOL_Oinverse__class_Oinverse(X0,X1)) = c_HOL_Oone__class_Oone(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5902_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8628,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),c_HOL_Oinverse__class_Oinverse(X0,X1)) = c_HOL_Oone__class_Oone(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_579]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8629,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Oinverse(X1,X0)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8628]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_571,plain,
% 7.38/7.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5906_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8612,plain,
% 7.38/7.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_571]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8613,plain,
% 7.38/7.52 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8612]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_569,plain,
% 7.38/7.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5907_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8608,plain,
% 7.38/7.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_569]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8609,plain,
% 7.38/7.52 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8608]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_567,plain,
% 7.38/7.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5908_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8604,plain,
% 7.38/7.52 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_567]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8605,plain,
% 7.38/7.52 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8604]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_565,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = X1
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5909_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8600,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = X1
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_565]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8601,plain,
% 7.38/7.52 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8600]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_562,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5910_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8594,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_562]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8595,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8594]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_559,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5911_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8588,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_559]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8589,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8588]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_557,plain,
% 7.38/7.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.38/7.52 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5912_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8584,plain,
% 7.38/7.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.38/7.52 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_557]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8585,plain,
% 7.38/7.52 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 7.38/7.52 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8584]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_553,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 7.38/7.52 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 7.38/7.52 | ~ class_Orderings_Olinorder(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5915_3) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8576,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 7.38/7.52 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 7.38/7.52 | ~ class_Orderings_Olinorder(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_553]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8577,plain,
% 7.38/7.52 ( ~ class_Orderings_Olinorder(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8576]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_551,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ouminus__class_Ouminus(X1,X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5916_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8572,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ouminus__class_Ouminus(X1,X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_551]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8573,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ouminus__class_Ouminus(X1,X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8572]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_546,plain,
% 7.38/7.52 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5920_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8562,plain,
% 7.38/7.52 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_546]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8563,plain,
% 7.38/7.52 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8562]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_539,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Power_Opower(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5922_3) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8548,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Power_Opower(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_539]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8549,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8548]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_536,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5923_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8542,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_536]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8543,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8542]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_532,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5929_0) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8534,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_532]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_530,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5929_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8530,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_530]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8531,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8530]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_528,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)) = X1
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5932_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8526,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)) = X1
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_528]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8527,plain,
% 7.38/7.52 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8526]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_525,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 7.38/7.52 | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5933_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8520,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 7.38/7.52 | ~ class_Ring__and__Field_Oabs__if(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_525]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8521,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oabs__if(X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8520]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_522,plain,
% 7.38/7.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != X1 ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5936_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8514,plain,
% 7.38/7.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != X1 ),
% 7.38/7.52 inference(copy,[status(esa)],[c_522]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8515,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != X0
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8514]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_520,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5937_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8510,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_520]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8511,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8510]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_518,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5938_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8506,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_518]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8507,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8506]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_512,plain,
% 7.38/7.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_HOL_Oone__class_Oone(tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5941_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8494,plain,
% 7.38/7.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_HOL_Oone__class_Oone(tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_512]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8495,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8494]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_510,plain,
% 7.38/7.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5942_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8490,plain,
% 7.38/7.52 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_510]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8491,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 7.38/7.52 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8490]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_508,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5943_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8486,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_508]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8487,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8486]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_506,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5944_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8482,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_506]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8483,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8482]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_504,plain,
% 7.38/7.52 ( ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5945_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8478,plain,
% 7.38/7.52 ( ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_504]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8479,plain,
% 7.38/7.52 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8478]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_489,plain,
% 7.38/7.52 ( c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5954_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8448,plain,
% 7.38/7.52 ( c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_489]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8449,plain,
% 7.38/7.52 ( ~ class_Power_Opower(X0)
% 7.38/7.52 | c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8448]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_485,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5956_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8440,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 7.38/7.52 inference(copy,[status(esa)],[c_485]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8441,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8440]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_480,plain,
% 7.38/7.52 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 7.38/7.52 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5958_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8430,plain,
% 7.38/7.52 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 7.38/7.52 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_480]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_474,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5963_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8418,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_474]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8419,plain,
% 7.38/7.52 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8418]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_472,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5964_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8414,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_472]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8415,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8414]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_470,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5965_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8410,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_470]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8411,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8410]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_468,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5966_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8406,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_468]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8407,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8406]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_466,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5967_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8402,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_466]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8403,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8402]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_464,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5968_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8398,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_464]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8399,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 7.38/7.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8398]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_461,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5969_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8392,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oidom(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_461]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8393,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oidom(X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8392]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_457,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5971_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8384,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_457]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8385,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8384]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_455,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5972_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8380,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_455]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8381,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8380]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_453,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5973_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8376,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_453]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8377,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8376]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_449,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5975_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8368,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_449]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8369,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8368]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_447,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5976_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8364,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_447]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8365,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8364]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_445,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5977_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8360,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_445]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8361,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8360]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_443,plain,
% 7.38/7.52 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Divides_Osemiring__div(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5978_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8356,plain,
% 7.38/7.52 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Divides_Osemiring__div(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_443]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8357,plain,
% 7.38/7.52 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.52 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8356]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_441,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5979_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8352,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_441]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8353,plain,
% 7.38/7.52 ( ~ class_RealVector_Oreal__normed__field(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8352]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_439,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5980_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8348,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_439]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8349,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8348]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_437,plain,
% 7.38/7.52 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Divides_Osemiring__div(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5981_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8344,plain,
% 7.38/7.52 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Divides_Osemiring__div(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_437]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8345,plain,
% 7.38/7.52 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.52 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8344]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_431,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5983_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8332,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_431]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8333,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8332]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_429,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5984_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8328,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_429]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8329,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8328]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_425,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5986_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8320,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_425]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8321,plain,
% 7.38/7.52 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8320]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_423,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5987_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8316,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_423]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8317,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8316]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_421,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5988_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8312,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_421]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8313,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8312]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_419,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5989_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8308,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_419]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_417,plain,
% 7.38/7.52 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 7.38/7.52 | ~ class_Divides_Osemiring__div(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5990_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8304,plain,
% 7.38/7.52 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 7.38/7.52 | ~ class_Divides_Osemiring__div(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_417]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8305,plain,
% 7.38/7.52 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.52 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8304]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_415,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5991_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8300,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 7.38/7.52 | ~ class_Ring__and__Field_Ofield(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_415]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8301,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ofield(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8300]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_413,plain,
% 7.38/7.52 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5992_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8296,plain,
% 7.38/7.52 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_413]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8297,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8296]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_411,plain,
% 7.38/7.52 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5993_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8292,plain,
% 7.38/7.52 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_411]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8293,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8292]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_409,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5994_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8288,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_409]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8289,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8288]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_407,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5995_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8284,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_407]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8285,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8284]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_405,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5996_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8280,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_405]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8281,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8280]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_403,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5997_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8276,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_403]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8277,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8276]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_401,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5998_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8272,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_401]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8273,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8272]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_399,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5999_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8268,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_399]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8269,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8268]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_397,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6000_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8264,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Power_Opower(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_397]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8265,plain,
% 7.38/7.52 ( ~ class_Power_Opower(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8264]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_395,plain,
% 7.38/7.52 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Divides_Osemiring__div(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6003_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8260,plain,
% 7.38/7.52 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Divides_Osemiring__div(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_395]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8261,plain,
% 7.38/7.52 ( ~ class_Divides_Osemiring__div(X0)
% 7.38/7.52 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8260]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_390,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | X0 = X2
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6005_4) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8250,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | X0 = X2
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_390]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8251,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = X2 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8250]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_388,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6006_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8246,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_388]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8247,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8246]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_386,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6007_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8242,plain,
% 7.38/7.52 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_386]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8243,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8242]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_384,plain,
% 7.38/7.52 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6008_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8238,plain,
% 7.38/7.52 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_384]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8239,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 7.38/7.52 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8238]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_382,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6010_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8234,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_382]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8235,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8234]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_380,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6011_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8230,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_380]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8231,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8230]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_378,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(X0,X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6012_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8226,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(X0,X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_378]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8227,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8226]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_374,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X2)
% 7.38/7.52 | ~ class_Int_Oring__char__0(X2) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6013_3) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8218,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X2)
% 7.38/7.52 | ~ class_Int_Oring__char__0(X2) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_374]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8219,plain,
% 7.38/7.52 ( ~ class_Int_Oring__char__0(X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 7.38/7.52 | X1 = X2 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8218]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_368,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6015_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8206,plain,
% 7.38/7.52 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 7.38/7.52 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_368]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8207,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 7.38/7.52 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8206]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_366,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6016_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8202,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 7.38/7.52 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_366]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8203,plain,
% 7.38/7.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 7.38/7.52 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8202]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_360,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 7.38/7.52 | ~ class_Nat_Osemiring__char__0(X2) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6026_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8190,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 7.38/7.52 | ~ class_Nat_Osemiring__char__0(X2) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_360]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8191,plain,
% 7.38/7.52 ( ~ class_Nat_Osemiring__char__0(X0)
% 7.38/7.52 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 7.38/7.52 | X1 = X2 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8190]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_357,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6027_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8184,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_357]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8185,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 7.38/7.52 | X1 = X2 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8184]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_354,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 7.38/7.52 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6028_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8178,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 7.38/7.52 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_354]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8179,plain,
% 7.38/7.52 ( ~ class_Lattices_Oboolean__algebra(X0)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 7.38/7.52 | X1 = X2 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8178]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_351,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6029_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8172,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_351]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8173,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8172]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_349,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6038_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8168,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_349]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8169,plain,
% 7.38/7.52 ( c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 7.38/7.52 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8168]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_337,plain,
% 7.38/7.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 7.38/7.52 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6042_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8144,plain,
% 7.38/7.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 7.38/7.52 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_337]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8145,plain,
% 7.38/7.52 ( ~ class_Lattices_Oboolean__algebra(X0)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8144]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_331,plain,
% 7.38/7.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6045_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8132,plain,
% 7.38/7.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_331]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8133,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8132]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_329,plain,
% 7.38/7.52 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6046_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8128,plain,
% 7.38/7.52 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_329]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8129,plain,
% 7.38/7.52 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8128]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_325,plain,
% 7.38/7.52 ( X0 = X1 | hAPP(c_Suc,X0) != hAPP(c_Suc,X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6048_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8120,plain,
% 7.38/7.52 ( X0 = X1 | hAPP(c_Suc,X0) != hAPP(c_Suc,X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_325]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8121,plain,
% 7.38/7.52 ( hAPP(c_Suc,X0) != hAPP(c_Suc,X1) | X0 = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8120]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_323,plain,
% 7.38/7.52 ( X0 = X1 | hAPP(c_NthRoot_Osqrt,X0) != hAPP(c_NthRoot_Osqrt,X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6049_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8116,plain,
% 7.38/7.52 ( X0 = X1 | hAPP(c_NthRoot_Osqrt,X0) != hAPP(c_NthRoot_Osqrt,X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_323]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8117,plain,
% 7.38/7.52 ( hAPP(c_NthRoot_Osqrt,X0) != hAPP(c_NthRoot_Osqrt,X1) | X0 = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8116]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_319,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Int_Oint) != c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Int_Oint) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6051_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8108,plain,
% 7.38/7.52 ( X0 = X1
% 7.38/7.52 | c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Int_Oint) != c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Int_Oint) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_319]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8109,plain,
% 7.38/7.52 ( c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Int_Oint) != c_Nat_Osemiring__1__class_Oof__nat(X1,tc_Int_Oint)
% 7.38/7.52 | X0 = X1 ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8108]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_316,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6052_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8102,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_316]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8103,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8102]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_313,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6053_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8096,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_313]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8097,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8096]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_310,plain,
% 7.38/7.52 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6054_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8090,plain,
% 7.38/7.52 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_310]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8091,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.52 | c_HOL_Ozero__class_Ozero(X0) = X1
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8090]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_307,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6055_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8084,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_307]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8085,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8084]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_305,plain,
% 7.38/7.52 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6056_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8080,plain,
% 7.38/7.52 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_305]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8081,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 7.38/7.52 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8080]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_297,plain,
% 7.38/7.52 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6059_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8064,plain,
% 7.38/7.52 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_297]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_295,plain,
% 7.38/7.52 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 7.38/7.52 | ~ class_Orderings_Opreorder(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6060_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8060,plain,
% 7.38/7.52 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 7.38/7.52 | ~ class_Orderings_Opreorder(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_295]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_293,plain,
% 7.38/7.52 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 7.38/7.52 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6061_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8056,plain,
% 7.38/7.52 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 7.38/7.52 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_293]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_290,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 7.38/7.52 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6062_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8050,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 7.38/7.52 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_290]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8051,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8050]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_287,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ c_Int_Oiszero(X0,X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6063_2) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8044,plain,
% 7.38/7.52 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 7.38/7.52 | ~ c_Int_Oiszero(X0,X1)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_287]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8045,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 7.38/7.52 | ~ c_Int_Oiszero(X1,X0)
% 7.38/7.52 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8044]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_285,plain,
% 7.38/7.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6064_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8040,plain,
% 7.38/7.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_285]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8041,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8040]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_281,plain,
% 7.38/7.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6066_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8032,plain,
% 7.38/7.52 ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_281]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8033,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 7.38/7.52 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8032]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_279,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6067_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8028,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_279]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8029,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8028]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_277,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6068_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8024,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_277]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8025,plain,
% 7.38/7.52 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8024]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_275,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6069_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8020,plain,
% 7.38/7.52 ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_275]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8021,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 7.38/7.52 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8020]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_273,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6070_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8016,plain,
% 7.38/7.52 ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_273]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8017,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 7.38/7.52 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8016]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_269,plain,
% 7.38/7.52 ( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6073_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8008,plain,
% 7.38/7.52 ( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_269]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8009,plain,
% 7.38/7.52 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.52 | c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8008]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_267,plain,
% 7.38/7.52 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6074_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8004,plain,
% 7.38/7.52 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_267]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8005,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 7.38/7.52 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8004]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_265,plain,
% 7.38/7.52 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6075_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8000,plain,
% 7.38/7.52 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_265]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_8001,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 7.38/7.52 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.52 inference(rewriting,[status(thm)],[c_8000]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_263,plain,
% 7.38/7.52 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6076_1) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_7996,plain,
% 7.38/7.52 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 7.38/7.52 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 7.38/7.52 inference(copy,[status(esa)],[c_263]) ).
% 7.38/7.52
% 7.38/7.52 cnf(c_7997,plain,
% 7.38/7.52 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 7.38/7.52 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 7.38/7.53 inference(rewriting,[status(thm)],[c_7996]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_259,plain,
% 7.38/7.53 ( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.53 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6079_1) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7988,plain,
% 7.38/7.53 ( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0) = c_HOL_Ozero__class_Ozero(X0)
% 7.38/7.53 | ~ class_Int_Onumber__ring(X0) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_259]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7989,plain,
% 7.38/7.53 ( ~ class_Int_Onumber__ring(X0)
% 7.38/7.53 | c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 7.38/7.53 inference(rewriting,[status(thm)],[c_7988]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_255,plain,
% 7.38/7.53 ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
% 7.38/7.53 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6087_1) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7980,plain,
% 7.38/7.53 ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
% 7.38/7.53 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_255]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7981,plain,
% 7.38/7.53 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 7.38/7.53 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 7.38/7.53 inference(rewriting,[status(thm)],[c_7980]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_253,plain,
% 7.38/7.53 ( X0 = X1 | c_Int_OBit1(X0) != c_Int_OBit1(X1) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6092_1) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7976,plain,
% 7.38/7.53 ( X0 = X1 | c_Int_OBit1(X0) != c_Int_OBit1(X1) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_253]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7977,plain,
% 7.38/7.53 ( c_Int_OBit1(X0) != c_Int_OBit1(X1) | X0 = X1 ),
% 7.38/7.53 inference(rewriting,[status(thm)],[c_7976]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_251,plain,
% 7.38/7.53 ( X0 = X1 | c_Int_OBit0(X0) != c_Int_OBit0(X1) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6093_1) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7972,plain,
% 7.38/7.53 ( X0 = X1 | c_Int_OBit0(X0) != c_Int_OBit0(X1) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_251]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7973,plain,
% 7.38/7.53 ( c_Int_OBit0(X0) != c_Int_OBit0(X1) | X0 = X1 ),
% 7.38/7.53 inference(rewriting,[status(thm)],[c_7972]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_249,plain,
% 7.38/7.53 ( c_Int_OPls = X0 | c_Int_OBit0(X0) != c_Int_OPls ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6099_1) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7968,plain,
% 7.38/7.53 ( c_Int_OPls = X0 | c_Int_OBit0(X0) != c_Int_OPls ),
% 7.38/7.53 inference(copy,[status(esa)],[c_249]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_247,plain,
% 7.38/7.53 ( X0 = c_Int_OPls | c_Int_OBit0(X0) != c_Int_OPls ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6100_1) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7964,plain,
% 7.38/7.53 ( X0 = c_Int_OPls | c_Int_OBit0(X0) != c_Int_OPls ),
% 7.38/7.53 inference(copy,[status(esa)],[c_247]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7965,plain,
% 7.38/7.53 ( c_Int_OBit0(X0) != c_Int_OPls | X0 = c_Int_OPls ),
% 7.38/7.53 inference(rewriting,[status(thm)],[c_7964]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_246,plain,
% 7.38/7.53 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),X0)),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5194_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7962,plain,
% 7.38/7.53 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),X0)),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_246]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_245,plain,
% 7.38/7.53 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5218_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7960,plain,
% 7.38/7.53 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_245]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_244,plain,
% 7.38/7.53 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5653_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7958,plain,
% 7.38/7.53 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_244]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_243,plain,
% 7.38/7.53 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5654_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7956,plain,
% 7.38/7.53 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_243]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_242,plain,
% 7.38/7.53 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5905_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7954,plain,
% 7.38/7.53 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_242]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_240,plain,
% 7.38/7.53 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5919_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7950,plain,
% 7.38/7.53 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_240]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_238,plain,
% 7.38/7.53 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5931_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7946,plain,
% 7.38/7.53 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_238]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_237,plain,
% 7.38/7.53 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6077_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7944,plain,
% 7.38/7.53 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_237]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_233,plain,
% 7.38/7.53 ( hAPP(c_Suc,X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6083_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7936,plain,
% 7.38/7.53 ( hAPP(c_Suc,X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_233]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_231,plain,
% 7.38/7.53 ( hAPP(c_Suc,X0) != X0 ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6085_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7932,plain,
% 7.38/7.53 ( hAPP(c_Suc,X0) != X0 ),
% 7.38/7.53 inference(copy,[status(esa)],[c_231]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_230,plain,
% 7.38/7.53 ( c_Int_OBit0(X0) != c_Int_OBit1(X1) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6097_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7930,plain,
% 7.38/7.53 ( c_Int_OBit0(X0) != c_Int_OBit1(X1) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_230]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_229,plain,
% 7.38/7.53 ( c_Int_OBit1(X0) != c_Int_OBit0(X1) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6098_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7928,plain,
% 7.38/7.53 ( c_Int_OBit1(X0) != c_Int_OBit0(X1) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_229]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_227,plain,
% 7.38/7.53 ( c_Int_OBit1(X0) != c_Int_OPls ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6102_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7924,plain,
% 7.38/7.53 ( c_Int_OBit1(X0) != c_Int_OPls ),
% 7.38/7.53 inference(copy,[status(esa)],[c_227]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_222,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5280_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7917,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_222]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_214,plain,
% 7.38/7.53 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),X0),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5403_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7908,plain,
% 7.38/7.53 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),X0),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_214]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_209,plain,
% 7.38/7.53 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5559_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7902,plain,
% 7.38/7.53 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_209]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_208,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5582_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7900,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_208]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_205,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5600_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7896,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_205]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_203,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5603_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7892,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_203]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_202,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5604_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7890,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_202]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_201,plain,
% 7.38/7.53 ( c_Fun_Oinj__on(c_Suc,X0,tc_nat,tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5615_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7888,plain,
% 7.38/7.53 ( c_Fun_Oinj__on(c_Suc,X0,tc_nat,tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_201]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_189,plain,
% 7.38/7.53 ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1)) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5817_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7875,plain,
% 7.38/7.53 ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1)) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_189]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_184,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5871_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7869,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_184]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_183,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5887_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7867,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_183]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_182,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5889_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7865,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_182]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_181,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5898_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7863,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_181]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_178,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5913_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7859,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_178]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_177,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5914_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7857,plain,
% 7.38/7.53 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_177]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_176,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5924_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7855,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_176]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_171,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5935_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7849,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_171]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_167,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5949_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7843,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_167]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_165,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_5960_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7839,plain,
% 7.38/7.53 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_165]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_160,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6017_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7833,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_160]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_156,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6021_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7828,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_156]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_155,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6022_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7826,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_155]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_154,plain,
% 7.38/7.53 ( c_fequal(X0,X0,X1) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6024_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7824,plain,
% 7.38/7.53 ( c_fequal(X0,X0,X1) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_154]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_150,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6032_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7819,plain,
% 7.38/7.53 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_150]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_140,plain,
% 7.38/7.53 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6091_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7808,plain,
% 7.38/7.53 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_140]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_136,plain,
% 7.38/7.53 ( class_Int_Onumber(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6103_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7803,plain,
% 7.38/7.53 ( class_Int_Onumber(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_136]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_135,plain,
% 7.38/7.53 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6104_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7801,plain,
% 7.38/7.53 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_135]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_134,plain,
% 7.38/7.53 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6105_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7799,plain,
% 7.38/7.53 ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_134]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_133,plain,
% 7.38/7.53 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6106_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7797,plain,
% 7.38/7.53 ( class_Int_Oring__char__0(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_133]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_132,plain,
% 7.38/7.53 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6107_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7795,plain,
% 7.38/7.53 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_132]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_131,plain,
% 7.38/7.53 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6108_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7793,plain,
% 7.38/7.53 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_131]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_130,plain,
% 7.38/7.53 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6109_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7791,plain,
% 7.38/7.53 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_130]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_129,plain,
% 7.38/7.53 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6110_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7789,plain,
% 7.38/7.53 ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_129]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_128,plain,
% 7.38/7.53 ( class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6111_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7787,plain,
% 7.38/7.53 ( class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_128]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_127,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6112_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7785,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_127]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_126,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6113_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7783,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_126]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_125,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6114_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7781,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_125]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_124,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6115_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7779,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_124]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_123,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6116_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7777,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_123]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_122,plain,
% 7.38/7.53 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6117_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7775,plain,
% 7.38/7.53 ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_122]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_121,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6118_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7773,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_121]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_120,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6119_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7771,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_120]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_119,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6120_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7769,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_119]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_118,plain,
% 7.38/7.53 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6121_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7767,plain,
% 7.38/7.53 ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_118]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_117,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6122_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7765,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_117]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_116,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6123_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7763,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_116]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_115,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6124_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7761,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_115]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_114,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6125_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7759,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_114]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_113,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6126_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7757,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_113]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_112,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6127_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7755,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_112]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_111,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6128_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7753,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_111]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_110,plain,
% 7.38/7.53 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6129_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7751,plain,
% 7.38/7.53 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_110]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_109,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6130_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7749,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_109]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_108,plain,
% 7.38/7.53 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6131_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7747,plain,
% 7.38/7.53 ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_108]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_107,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6132_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7745,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_107]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_106,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6133_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7743,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_106]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_105,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6134_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7741,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_105]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_104,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6135_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7739,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_104]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_103,plain,
% 7.38/7.53 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6136_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7737,plain,
% 7.38/7.53 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_103]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_102,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6137_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7735,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_102]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_101,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6138_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7733,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_101]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_100,plain,
% 7.38/7.53 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6139_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7731,plain,
% 7.38/7.53 ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_100]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_99,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6140_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7729,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_99]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_98,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6141_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7727,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_98]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_97,plain,
% 7.38/7.53 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6142_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7725,plain,
% 7.38/7.53 ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_97]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_96,plain,
% 7.38/7.53 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6143_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7723,plain,
% 7.38/7.53 ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_96]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_95,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6144_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7721,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_95]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_94,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6145_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7719,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_94]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_93,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6146_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7717,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_93]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_92,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6147_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7715,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_92]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_91,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6148_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7713,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_91]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_90,plain,
% 7.38/7.53 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6149_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7711,plain,
% 7.38/7.53 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_90]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_89,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6150_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7709,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_89]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_88,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6151_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7707,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_88]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_87,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6152_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7705,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_87]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_86,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6153_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7703,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_86]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_85,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6154_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7701,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_85]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_84,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6155_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7699,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_84]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_83,plain,
% 7.38/7.53 ( class_Int_Onumber(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6156_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7697,plain,
% 7.38/7.53 ( class_Int_Onumber(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_83]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_82,plain,
% 7.38/7.53 ( class_Power_Opower(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6157_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7695,plain,
% 7.38/7.53 ( class_Power_Opower(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_82]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_81,plain,
% 7.38/7.53 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6158_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7693,plain,
% 7.38/7.53 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_81]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_80,plain,
% 7.38/7.53 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6159_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7691,plain,
% 7.38/7.53 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_80]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_79,plain,
% 7.38/7.53 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6160_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7689,plain,
% 7.38/7.53 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_79]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_78,plain,
% 7.38/7.53 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6161_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7687,plain,
% 7.38/7.53 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_78]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_77,plain,
% 7.38/7.53 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6162_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7685,plain,
% 7.38/7.53 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_77]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_76,plain,
% 7.38/7.53 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6163_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7683,plain,
% 7.38/7.53 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_76]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_75,plain,
% 7.38/7.53 ( class_Ring__and__Field_Odvd(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6164_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7681,plain,
% 7.38/7.53 ( class_Ring__and__Field_Odvd(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_75]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_74,plain,
% 7.38/7.53 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6165_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7679,plain,
% 7.38/7.53 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_74]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_73,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6166_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7677,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_73]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_72,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6167_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7675,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_72]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_71,plain,
% 7.38/7.53 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6168_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7673,plain,
% 7.38/7.53 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_71]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_70,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6169_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7671,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_70]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_69,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6170_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7669,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_69]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_68,plain,
% 7.38/7.53 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6171_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7667,plain,
% 7.38/7.53 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_68]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_67,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6172_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7665,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_67]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_66,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6173_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7663,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_66]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_65,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6174_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7661,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_65]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_64,plain,
% 7.38/7.53 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6175_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7659,plain,
% 7.38/7.53 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_64]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_63,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6176_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7657,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_63]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_62,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6177_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7655,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_62]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_61,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6178_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7653,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_61]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_60,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6179_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7651,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_60]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_59,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6180_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7649,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_59]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_58,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6181_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7647,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_58]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_57,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6182_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7645,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_57]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_56,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6183_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7643,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_56]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_55,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6184_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7641,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_55]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_54,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6185_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7639,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_54]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_53,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6186_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7637,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_53]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_52,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6187_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7635,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_52]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_51,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6188_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7633,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_51]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_50,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6189_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7631,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_50]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_49,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6190_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7629,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_49]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_48,plain,
% 7.38/7.53 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6191_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7627,plain,
% 7.38/7.53 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_48]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_47,plain,
% 7.38/7.53 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6192_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7625,plain,
% 7.38/7.53 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_47]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_46,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6193_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7623,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_46]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_45,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6194_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7621,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_45]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_44,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6195_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7619,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_44]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_43,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6196_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7617,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_43]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_42,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6197_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7615,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_42]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_41,plain,
% 7.38/7.53 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6198_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7613,plain,
% 7.38/7.53 ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_41]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_40,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6199_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7611,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_40]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_39,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6200_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7609,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_39]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_38,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6201_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7607,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_38]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_37,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6202_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7605,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_37]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_36,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6203_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7603,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_36]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_35,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6204_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7601,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_35]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_34,plain,
% 7.38/7.53 ( class_Orderings_Oorder(tc_bool) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6205_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7599,plain,
% 7.38/7.53 ( class_Orderings_Oorder(tc_bool) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_34]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_33,plain,
% 7.38/7.53 ( class_Orderings_Opreorder(tc_bool) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6206_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7597,plain,
% 7.38/7.53 ( class_Orderings_Opreorder(tc_bool) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_33]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_32,plain,
% 7.38/7.53 ( class_Lattices_Oboolean__algebra(tc_bool) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6207_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7595,plain,
% 7.38/7.53 ( class_Lattices_Oboolean__algebra(tc_bool) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_32]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_31,plain,
% 7.38/7.53 ( class_Int_Onumber(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6208_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7593,plain,
% 7.38/7.53 ( class_Int_Onumber(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_31]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_30,plain,
% 7.38/7.53 ( class_Power_Opower(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6209_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7591,plain,
% 7.38/7.53 ( class_Power_Opower(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_30]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_29,plain,
% 7.38/7.53 ( class_Orderings_Oorder(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6210_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7589,plain,
% 7.38/7.53 ( class_Orderings_Oorder(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_29]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_28,plain,
% 7.38/7.53 ( class_Orderings_Olinorder(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6211_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7587,plain,
% 7.38/7.53 ( class_Orderings_Olinorder(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_28]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_27,plain,
% 7.38/7.53 ( class_Orderings_Opreorder(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6212_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7585,plain,
% 7.38/7.53 ( class_Orderings_Opreorder(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_27]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_26,plain,
% 7.38/7.53 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6213_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7583,plain,
% 7.38/7.53 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_26]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_25,plain,
% 7.38/7.53 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6214_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7581,plain,
% 7.38/7.53 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_25]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_24,plain,
% 7.38/7.53 ( class_Divides_Osemiring__div(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6215_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7579,plain,
% 7.38/7.53 ( class_Divides_Osemiring__div(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_24]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_23,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6216_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7577,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_23]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_22,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6217_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7575,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_22]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_21,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6218_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7573,plain,
% 7.38/7.53 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_21]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_20,plain,
% 7.38/7.53 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6219_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7571,plain,
% 7.38/7.53 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_20]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_19,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6220_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7569,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_19]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_18,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6221_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7567,plain,
% 7.38/7.53 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_18]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_17,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6222_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7565,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_17]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_16,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6223_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7563,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_16]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_15,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6224_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7561,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_15]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_14,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6225_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7559,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_14]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_13,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6226_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7557,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_13]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_12,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6227_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7555,plain,
% 7.38/7.53 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_12]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_11,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6228_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7553,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_11]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_10,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6229_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7551,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_10]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_9,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6230_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7549,plain,
% 7.38/7.53 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_9]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_8,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6231_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7547,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_8]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6232_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7545,plain,
% 7.38/7.53 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_7]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_6,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6233_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7543,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_6]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_5,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6234_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7541,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_5]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_4,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6235_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7539,plain,
% 7.38/7.53 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_4]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_3,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6236_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7537,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_3]) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_2,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 7.38/7.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_3d3890.p', c_0_6237_0) ).
% 7.38/7.53
% 7.38/7.53 cnf(c_7535,plain,
% 7.38/7.53 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 7.38/7.53 inference(copy,[status(esa)],[c_2]) ).
% 7.38/7.53
% 7.38/7.53
% 7.38/7.53
% 7.38/7.53 % ------ Statistics
% 7.38/7.53
% 7.38/7.53 % ------ General
% 7.38/7.53
% 7.38/7.53 % num_of_input_clauses: 3362
% 7.38/7.53 % num_of_input_neg_conjectures: 1
% 7.38/7.53 % num_of_splits: 0
% 7.38/7.53 % num_of_split_atoms: 0
% 7.38/7.53 % num_of_sem_filtered_clauses: 0
% 7.38/7.53 % num_of_subtypes: 0
% 7.38/7.53 % monotx_restored_types: 0
% 7.38/7.53 % sat_num_of_epr_types: 0
% 7.38/7.53 % sat_num_of_non_cyclic_types: 0
% 7.38/7.53 % sat_guarded_non_collapsed_types: 0
% 7.38/7.53 % is_epr: 0
% 7.38/7.53 % is_horn: 0
% 7.38/7.53 % has_eq: 1
% 7.38/7.53 % num_pure_diseq_elim: 0
% 7.38/7.53 % simp_replaced_by: 0
% 7.38/7.53 % res_preprocessed: 2
% 7.38/7.53 % prep_upred: 0
% 7.38/7.53 % prep_unflattend: 0
% 7.38/7.53 % pred_elim_cands: 0
% 7.38/7.53 % pred_elim: 0
% 7.38/7.53 % pred_elim_cl: 0
% 7.38/7.53 % pred_elim_cycles: 0
% 7.38/7.53 % forced_gc_time: 0
% 7.38/7.53 % gc_basic_clause_elim: 0
% 7.38/7.53 % parsing_time: 0.187
% 7.38/7.53 % sem_filter_time: 0.
% 7.38/7.53 % pred_elim_time: 0.
% 7.38/7.53 % out_proof_time: 0.
% 7.38/7.53 % monotx_time: 0.
% 7.38/7.53 % subtype_inf_time: 0.
% 7.38/7.53 % unif_index_cands_time: 0.
% 7.38/7.53 % unif_index_add_time: 0.002
% 7.38/7.53 % total_time: 3.055
% 7.38/7.53 % num_of_symbols: 124
% 7.38/7.53 % num_of_terms: 6588
% 7.38/7.53
% 7.38/7.53 % ------ Propositional Solver
% 7.38/7.53
% 7.38/7.53 % prop_solver_calls: 1
% 7.38/7.53 % prop_fast_solver_calls: 3
% 7.38/7.53 % prop_num_of_clauses: 2738
% 7.38/7.53 % prop_preprocess_simplified: 10384
% 7.38/7.53 % prop_fo_subsumed: 0
% 7.38/7.53 % prop_solver_time: 0.
% 7.38/7.53 % prop_fast_solver_time: 0.
% 7.38/7.53 % prop_unsat_core_time: 0.
% 7.38/7.53
% 7.38/7.53 % ------ QBF
% 7.38/7.53
% 7.38/7.53 % qbf_q_res: 0
% 7.38/7.53 % qbf_num_tautologies: 0
% 7.38/7.53 % qbf_prep_cycles: 0
% 7.38/7.53
% 7.38/7.53 % ------ BMC1
% 7.38/7.53
% 7.38/7.53 % bmc1_current_bound: -1
% 7.38/7.53 % bmc1_last_solved_bound: -1
% 7.38/7.53 % bmc1_unsat_core_size: -1
% 7.38/7.53 % bmc1_unsat_core_parents_size: -1
% 7.38/7.53 % bmc1_merge_next_fun: 0
% 7.38/7.53 % bmc1_unsat_core_clauses_time: 0.
% 7.38/7.53
% 7.38/7.53 % ------ Instantiation
% 7.38/7.53
% 7.38/7.53 % inst_num_of_clauses: 3087
% 7.38/7.53 % inst_num_in_passive: 0
% 7.38/7.53 % inst_num_in_active: 0
% 7.38/7.53 % inst_num_in_unprocessed: 3362
% 7.38/7.53 % inst_num_of_loops: 0
% 7.38/7.53 % inst_num_of_learning_restarts: 0
% 7.38/7.53 % inst_num_moves_active_passive: 0
% 7.38/7.53 % inst_lit_activity: 0
% 7.38/7.53 % inst_lit_activity_moves: 0
% 7.38/7.53 % inst_num_tautologies: 0
% 7.38/7.53 % inst_num_prop_implied: 0
% 7.38/7.53 % inst_num_existing_simplified: 0
% 7.38/7.53 % inst_num_eq_res_simplified: 0
% 7.38/7.53 % inst_num_child_elim: 0
% 7.38/7.53 % inst_num_of_dismatching_blockings: 0
% 7.38/7.53 % inst_num_of_non_proper_insts: 0
% 7.38/7.53 % inst_num_of_duplicates: 0
% 7.38/7.53 % inst_inst_num_from_inst_to_res: 0
% 7.38/7.53 % inst_dismatching_checking_time: 0.
% 7.38/7.53
% 7.38/7.53 % ------ Resolution
% 7.38/7.53
% 7.38/7.53 % res_num_of_clauses: 3435
% 7.38/7.53 % res_num_in_passive: 0
% 7.38/7.53 % res_num_in_active: 1195
% 7.38/7.53 % res_num_of_loops: 2
% 7.38/7.53 % res_forward_subset_subsumed: 2104
% 7.38/7.53 % res_backward_subset_subsumed: 0
% 7.38/7.53 % res_forward_subsumed: 0
% 7.38/7.53 % res_backward_subsumed: 0
% 7.38/7.53 % res_forward_subsumption_resolution: 0
% 7.38/7.53 % res_backward_subsumption_resolution: 0
% 7.38/7.53 % res_clause_to_clause_subsumption: 0
% 7.38/7.53 % res_orphan_elimination: 0
% 7.38/7.53 % res_tautology_del: 0
% 7.38/7.53 % res_num_eq_res_simplified: 0
% 7.38/7.53 % res_num_sel_changes: 0
% 7.38/7.53 % res_moves_from_active_to_pass: 0
% 7.38/7.53
% 7.38/7.53 % Status Unknown
% 7.38/7.53 % Last status :
% 7.38/7.53 % SZS status Unknown
%------------------------------------------------------------------------------